Can you solve this Quadratic Equation by Completing the Square?

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  • Опубліковано 7 січ 2025

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  • @giftyasare3602
    @giftyasare3602 5 років тому +76

    My daughter is using this mathematics to solve her assignment
    Thanks for your help and support.

    • @PreMath
      @PreMath  4 роки тому +10

      You're very welcome Gifty Asare! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep supporting my channel. Kind regards :)

    • @hemanthsai5486
      @hemanthsai5486 4 роки тому +1

      Good . But what Is the meaning of each step . Why we add the steps that we wanted , there should be some meaning right

    • @Niteshsir
      @Niteshsir 4 роки тому

      Plz watch
      m.ua-cam.com/users/Niteshsir

    • @xsageonexx7399
      @xsageonexx7399 3 роки тому

      @@PreMath Why do you:
      A. Pull the 7/6 aside and
      B. Divide it by 2?

    • @lordkelvin100thompson8
      @lordkelvin100thompson8 3 роки тому

      @@xsageonexx7399 Take, for example; x + b
      Square it: (x + b)(x + b), and carry out the multiplication to get the product:
      x^2 + 2bx + b^2
      In the example polynomial, the 7/6 coefficient is your 2b, so you need to divide by 2, or multiply by 1/2 to get the value of b to add to the L-value to produce a perfect square.

  • @GillesF31
    @GillesF31 3 роки тому +6

    I'm French. I'm retired (after a professional career in data processing). I love mathematics (it doesn't mean I'm an expert of it :-) and I APPRECIATE A LOT your videos. Thanks to them we can approach a high level of problem resolutions as this one in which the irrational number i is used to get the solution. Congratulation and thank you for sharing with us your high level knowledge.

  • @ffggddss
    @ffggddss 5 років тому +75

    Or, in order to keep everything in integers for as long as possible, note that the middle coefficient is odd, so multiply by 4·6 (rather than by 6):
    4·6·6x² - 24·7x = -24·8
    12²x² - 2·12·7x = -192
    12²x² - 2·12·7x + 7² = 49 - 192
    (12x - 7)² = -143
    x = (7 ± i√143)/12
    Fred

    • @alicedeanhera898
      @alicedeanhera898 4 роки тому +1

      0

    • @BigWailz_official
      @BigWailz_official 4 роки тому +3

      ffggddss :thanks so much sir,your explanation is so clear

    • @basharathussain7212
      @basharathussain7212 4 роки тому +1

      Genius

    • @CentaurisNomadus
      @CentaurisNomadus 3 роки тому +1

      Now i got the point of denoting quadratic root of negative numbers. Thank you.

    • @vikg3228
      @vikg3228 2 роки тому +1

      Dumb question maybe but half of 2nd coefficient is 84, so don’t follow how you’re getting to 7squared instead of 84squared? Trying to relearn basic math to help my kids :). Thx.

  • @Hertog_von_Berkshire
    @Hertog_von_Berkshire 3 роки тому +6

    9:16 When used as an operator, ± should be spoken as "plus or minus".
    "positive or negative" is correct only when ± is used as a sign.

    • @CentaurisNomadus
      @CentaurisNomadus 3 роки тому

      Yeah, contexts. Our teacher from math would note that, just like in your comment.

  • @ottolicha3213
    @ottolicha3213 3 роки тому +7

    For me it is very funny how you calculate the right side of the equation. You could do it like this: -4/3 + 49/144 = -192/144 + 49/144 = -143/144.
    Your way to do it seems like if a mountain hiker wants to reach the height of 1000 meters, so he goes up to 5000 meters and then comes down.

    • @vairnvain
      @vairnvain 3 роки тому +1

      Same thoughts! I'm really bothered with how he added the fractions 😂

    • @tintinfan007
      @tintinfan007 3 роки тому +1

      Exactly.....

  • @pillai21
    @pillai21 3 роки тому +4

    6x^2-7x+8 =0,
    a= 6, b = -7, c = 8,
    -b = 7,
    b^2 = 49,
    4ac = 4×6×8 = 192,
    b^2 -4ac = 48-192 = - 144 < 0
    Since it is negative , this equation has no real roots.

    • @dmitrychaschev5489
      @dmitrychaschev5489 2 роки тому

      Именно так, и квадрат числа не может быть отрицательным, какой же тупой автор видео

  • @jihanjiji1
    @jihanjiji1 4 роки тому +3

    Good professor 🌷💐🌺🌺💐

    • @PreMath
      @PreMath  4 роки тому +2

      Thanks and welcome

  • @dannyasio8614
    @dannyasio8614 4 роки тому +10

    Excellent presentation. Thank you for this. I am now clarified that in finding a certain number to complete a square, we can possibly arrived on an imaginary number (ì). Kudos! Well explained.

    • @PreMath
      @PreMath  4 роки тому +1

      You're very welcome Danny! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep supporting my channel. Kind regards :)

  • @breintankx
    @breintankx 4 роки тому +4

    Hello, I think you could also use:
    1) D= b Square - 4ac
    Knowing D is your discriminant!
    2) - b + square root of D = x1
    3) - b - square root of D = x2
    What do you think?

    • @PreMath
      @PreMath  4 роки тому +2

      Thank you so much King for your nice feedback.
      You are perfectly alright about the discriminant D= b Square - 4ac.
      I'm sure you are an awesome student 👍 Please keep sharing my channel with your family and friends. Take care dear and all the best😃

    • @ianmoseley9910
      @ianmoseley9910 4 роки тому

      you must answer the question as written

    • @someone3285
      @someone3285 3 роки тому

      D= -

  • @paulmiller6647
    @paulmiller6647 3 роки тому

    This is so relaxing to the brain I feel loads just got lifted off my shoulders. I love getting a refresher on this; thanks very much for the link. It's been at least two years since I last did these equations.

  • @dennisphilip7596
    @dennisphilip7596 3 роки тому +1

    Please make a video on real life use of limits , mathematical induction,complex numbers

  • @andywright8803
    @andywright8803 4 роки тому +4

    Solving with the equation is much simpler
    A=6, b=-7, c=8
    X=(7+/-sqrt(49-4×6×8))/12
    =(7+/-sqrt(49-192))/12
    =7+/-sqrt(-143))/12
    =7/12+/-sqrt(143)i/12

    • @lastchance8142
      @lastchance8142 4 роки тому

      Thank you. This is correct

    • @BigWailz_official
      @BigWailz_official 4 роки тому

      Please can you break down the simplification process so I can understand

    • @andywright8803
      @andywright8803 4 роки тому +1

      @@BigWailz_official the solutions to ax^2 + bx + c = (-b +/- sqrt(b^2 - 4ac))/ 2a. This seems quite complicated, but once you use it a couple of times, you find that unless factorisation is very simple, it's the simplest method, and I always find it simpler than completing the square. It works all the time and you can also tell very simply how many real solutions there are based on whether the value in the square root is positive (2), zero (1) or negative (0).

    • @truthseeker-777
      @truthseeker-777 4 роки тому

      Andy Wright that might be so, but the whole point of the video was to show that the completing the square method could be used - as his student had asked him.
      It does also bring in the concept of the imaginary number rather nicely and also builds on knowledge of splitting number to root them which is convenient too, for building in and reinforcing concepts covered in earlier lessons.

  • @patrickguillory7552
    @patrickguillory7552 5 років тому +31

    Anyone teaching equation should explain the rules........ Whenever someone understands the rules, everything becomes easy.

  • @Ayushiteacher
    @Ayushiteacher 3 роки тому

    You explain very well👍

  • @henrydavis8910
    @henrydavis8910 4 роки тому +11

    Yes I can but why should I when using the quadratic formula is so much easier?

    • @PreMath
      @PreMath  4 роки тому +5

      Dear Henry, you are absolutely correct! However, getting to know more tools and techniques would give you more power!
      I'm sure you are an awesome student 👍 Please keep sharing my channel with your family and friends. Take care dear and all the best😃

    • @ianmoseley9910
      @ianmoseley9910 4 роки тому +2

      The question asked specifically for this method - in an exam you would lose marks for ignoring that

    • @lordkelvin100thompson8
      @lordkelvin100thompson8 3 роки тому

      The quadratic formula is a generalized form of completing the square. Good to know that because I'm always forgetting the damn formula.

    • @johnnolen8338
      @johnnolen8338 2 роки тому

      The quadratic formula is the result of CTS. If you become proficient at CTS then you'll not only know where the quadratic formula came from, the quadratic formula becomes completely unnecessary. CTS is faster.

  • @prakasamkannadi7616
    @prakasamkannadi7616 4 роки тому +1

    Step by step approach to answer is simply super.

    • @PreMath
      @PreMath  4 роки тому +1

      Thank you so much prakasam kannadi for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep supporting my channel. Take care dear 😃

  • @DoctorFashion
    @DoctorFashion 4 роки тому +14

    Subscribed! Great explanation!

    • @PreMath
      @PreMath  4 роки тому +3

      Thank you so much! Please keep supporting my channel. Kind regards 😀

  • @mustafasleiman257
    @mustafasleiman257 5 років тому +4

    You kan simply solve it with
    (X= -b + and - √b squar - 4ac all over 2a, a as 6 ,b as -7 ,c as 8

  • @leopoldkudzaishungudzemoyo5597
    @leopoldkudzaishungudzemoyo5597 4 роки тому +2

    If we save the video to watch later how do we access it

    • @PreMath
      @PreMath  4 роки тому +1

      Click on save beside like, dislike, share button and select watch later checkbox. Thanks for asking. Take care :)

    • @theobserver314
      @theobserver314 4 роки тому +3

      On laptop/Computer you go to the UA-cam home page or simply put it www.youtube.com, then on your left side a column would appear, this column contains the following:
      "Home"
      "Trending"
      "Subscriptions"
      "Library"
      "History"
      "Your Videos"
      "Purchases"
      "Watch Later"
      "Show More"
      Click "Watch Later".
      If you're using mobile, upon opening the UA-cam App there will be a row at the bottom that will contain the following:
      "Home"
      "Explore"
      "Subscriptions"
      "Inbox"
      "Library"
      Click "Library"
      Upon clicking "Library"
      You will than find "Watch Later".

  • @everythinguwant4722
    @everythinguwant4722 4 роки тому +3

    Thank you so much for your explanation. I'm from India 🇮🇳but I can understand your explanation comletely.👍

    • @PreMath
      @PreMath  4 роки тому +2

      You are very welcome Patel ji! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep sharing my channel with your family and friends. Take care dear and all the best😃

  • @karnabudhathoki5311
    @karnabudhathoki5311 5 років тому +2

    @ around 4:10 you put (7/12)^2 On both sides. later you said what sign to put in between x and 7/12 whole square...
    It wasnt necessary...you simply should have said...its taking on the form of a^2 - 2ab+b^2. And will so...reduce to (a-b) ^ 2 .That way it would have been simpler....

  • @stelun56
    @stelun56 4 роки тому +2

    Completing the square for this expression would be much better than beginning with the equation, as this also derives the coordinates for the vertex. If only roots are needed, then the formula is the obvious choice. Moreover, you should review adding fractions. -4/3 + 7^2/12^2 = -43/12^2. Only beauty lies in true mathematics.

    • @PreMath
      @PreMath  4 роки тому +1

      Thanks dear for the nice feedback. I really appreciate that.
      Take care dear and all the best😃
      Have a very happy and blessed New Year!

  • @寧靜致遠-h1r
    @寧靜致遠-h1r 5 років тому +2

    If ax2+bx+c =0, the solution of formula is -b+-✓ b2-4ac(radical symbol)/2a.

    • @cc-ic7rj
      @cc-ic7rj 5 років тому

      Exactly right

  • @themanagementwarrior
    @themanagementwarrior 3 роки тому

    Hi. What lecture app and/or tablet did you use in your online lecture? Thanks.

  • @shathaomar1516
    @shathaomar1516 5 років тому +5

    Why did you take the number 7/6 and multiply or divided it by half n then put exponents 2?? Could not get this step plz

    • @rajakambing
      @rajakambing 5 років тому

      7x/12+7x/12=14X/12=7x/6

    • @HDitzzDH
      @HDitzzDH 5 років тому +2

      Shatha Omar He’s doing that so that we can write the left side as a perfect square, that’s one of the main steps regarding how to solve by ”completing the square”.

  • @alzakiruyaqub123
    @alzakiruyaqub123 3 роки тому +1

    Wonderful! Can we always take the half of coefficient number by 1\2...? And also can we also directly write the number obtained when multiplied by the coefficient number without making it smaller?

    • @alzakiruyaqub123
      @alzakiruyaqub123 3 роки тому

      I mean can we always multiply the coefficient number by 1\2

  • @stormstrike1845
    @stormstrike1845 3 роки тому +1

    What happened to the -7/6x?

  • @javierleon4895
    @javierleon4895 4 роки тому +2

    Good!! Tell me what software do you use to write??

    • @PreMath
      @PreMath  4 роки тому +2

      Hello dear, we use Camtasia TechSmith package. Thanks for asking. Take care and stay blessed😃

  • @johnniegilkerson4724
    @johnniegilkerson4724 6 років тому +8

    @5:39 in video (-429/432) reduces to -(143/144)

    • @josefc8362
      @josefc8362 5 років тому

      johnnie gilkerson hahaha, exactly

    • @גקדןרק
      @גקדןרק День тому

      Please help me why did he put 3.143 and 3.144 @ 7:40

  • @Glockperfection666
    @Glockperfection666 3 роки тому

    This is to help me refreshing for my daughter’s pre calculus . Thank you very much !!!!

  • @truthseeker-777
    @truthseeker-777 4 роки тому +4

    When I was first looking at completing the square quadratics a few weeks ago, I stumbled across this video and it nearly blew my mind. I’ve studied a bit since and just rewatched it and bingo! Makes glorious sense now. Thank you 😊
    But if you are a beginner to completing the square, start with a simple few examples that don’t involve fractions, to build your understanding first.

    • @PreMath
      @PreMath  4 роки тому +2

      You are very welcome Lottie Bronte! Glad I could help you. Thanks for your comments. Please keep supporting my channel. Take care😃

  • @joelb9378
    @joelb9378 3 роки тому

    In germany we have something that's called pq-Formel: when you see this equation x^2 + qx + q = 0, you can do this: X = - p/2 +/- Squarerootof [ (p/2)^2 - q]

  • @bismaali622
    @bismaali622 3 роки тому +2

    Just subscribed ! You are a life saver

    • @PreMath
      @PreMath  3 роки тому +2

      So nice of you Bisma dear! You are awesome 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and stay blessed😃

  • @amramjose
    @amramjose Рік тому

    Very well explained! Would using the quadratic formula result in the same answers?

  • @احمدالسويداوي
    @احمدالسويداوي 6 років тому +1

    What is the program used to explain the lesson please reply

    • @PreMath
      @PreMath  6 років тому +3

      Dear Ahmed, if you are talking about the software program, I use Camtasia Techsmith!
      All the best :)

  • @woni9834
    @woni9834 4 роки тому +1

    Why can’t I use the method you taught, by doing (6x+1)(6x-8) and x = -1/6, or x _ 4/3?

  • @RealSlopeDude
    @RealSlopeDude 6 років тому +23

    Great video. As a math teacher myself, I love how you skipped no steps.

    • @PreMath
      @PreMath  6 років тому +1

      MathGives YouPower , thanks for the honest feedback. We both are in this very noble teaching profession. Kind regards :)

    • @domjervis
      @domjervis 6 років тому +2

      Love the You Tube name you use. Reminds me of one of my favorite Adages. "Math is a Wonderful Thing. Become good enough at it, and no one will EVER be able to fool you with demagoguery."
      As for this video, my 8th grade algebra teacher took us through a drill very similar to this one. I raised my hand and asked "Wouldn't it be easier to just apply the Quadratic Equation?" He replied "With an attitude like that, you'd be better off becoming an Accountant than a Mathematician." So I did LOL
      All best!

    • @leslieanderson6413
      @leslieanderson6413 5 років тому +1

      where did the 7/12 and 2/1 come from? I think I have frozen my brain. I love math; this has me stumped. I would make my dad, the math prof so proud :)

  • @adelekeolabiyi6095
    @adelekeolabiyi6095 3 роки тому +1

    Thank you so much I was able to challenge some people

  • @sofab1549
    @sofab1549 4 роки тому

    question. Why do u need to flip over the 2 over 1?

  • @jeffrey3306
    @jeffrey3306 4 роки тому

    Can you explain pls how and why are you dividing 7/6 by 2...where did you get that 2

    • @breintankx
      @breintankx 4 роки тому +1

      I don't know why he does that but you could also use:
      1) D= b Square - 4ac
      2) - b + square root of D = x1
      3) - b - square root of D = x2

  • @senpailegacy1583
    @senpailegacy1583 6 років тому +13

    I knew immediately that they were imaginary because the nature of the root (or the discriminatnt I.e. b^(2)-4ac) is less than zero so it must mean it has two imaginary solutions. Great video👍👍

  • @husseinelgandy6242
    @husseinelgandy6242 5 років тому +1

    We can ×6# 36 x^2_42x+48=0 then (6x_7/2)^2=_47/2

  • @e10ln
    @e10ln 5 років тому +1

    Could you tell me please what is the name of that programe you are using it for writing ?

    • @PreMath
      @PreMath  5 років тому

      Camtasia! Thanks for asking. Kind regards :)

  • @محمدحسن-ح6ث5ق
    @محمدحسن-ح6ث5ق 3 роки тому

    Thank you for all this great knowledge

  • @faisalfafyfs251
    @faisalfafyfs251 6 років тому +6

    I know this method and this method is given in book examples

    • @ericksonbruno4199
      @ericksonbruno4199 5 років тому

      Thats what people dnt understand. Actually i ve to use that method for my hw.

  • @HusaySipnayan
    @HusaySipnayan 3 роки тому

    That's the method every student should master. Thanks.

  • @michaelkaye4998
    @michaelkaye4998 5 років тому +2

    I’m long out of math. Like these videos to refresh my mind.
    What is the purpose of completing the square? Knowing the formula I would never bother with this. Is their a reason to?

    • @damnson1356
      @damnson1356 5 років тому +1

      hahaahahahahahaha great question. well i guess teachers want us to fail, thats why

    • @archeopterixneuroza4715
      @archeopterixneuroza4715 4 роки тому

      it can help with maximums

  • @MichaelRothwell1
    @MichaelRothwell1 4 роки тому +1

    May I suggest that when you combined the fractions, it would have been preferable to use the lowest common denominator, 144, rather than cross-multiplying, as this would lead to easier arithmetic with smaller numbers and avoid the need to cancel by sqrt(3) later.

  • @kishalayamukherjee4867
    @kishalayamukherjee4867 6 років тому +8

    Great video for learners like us. But perhaps you forgot to tell the learners when you used the formula (a - b)^2 = a^2 - 2ab + b^2 in the LHS equation : x^2 - 7/6.x+ (7/12)^2 = ( x - 7/12 )^2. Instead, you brought down the negative sign before 7/12 by drawing an arrow. This confused me a little in the first hand. Thanks.

    • @bhadra65
      @bhadra65 5 років тому

      Exactly! I had the same confusion for a little while, too.

  • @sadhsarkar1323
    @sadhsarkar1323 3 роки тому

    Thank you.... thank you soooo very much sir......I was facing prblm in this thing for many days....
    Thanks for clearing my doubt.........😊

  • @openyard
    @openyard 4 роки тому

    I am a bit lost at 7:34, how did the square root of 429 become represented as square root of 3.143 and the square root of 423 become equal to the square root of 3.144?

    • @jeffweber8244
      @jeffweber8244 3 роки тому

      429 = 3 x 143 the dot was multiplication symbol, not a decimal point

    • @גקדןרק
      @גקדןרק День тому

      ​@@jeffweber8244but why multiply those two? I thought it was going to be a simplification, I'm confused 😢

  • @joeblainey2627
    @joeblainey2627 5 років тому

    what software is used for writing on the youtube board

    • @MathsclassKI
      @MathsclassKI 5 років тому

      Good question

    • @PreMath
      @PreMath  5 років тому

      Camtasia! Thanks for asking. Kind regards :)

  • @rashlyestremadura8831
    @rashlyestremadura8831 6 років тому +1

    Ty..Can You Also Do The Checking?

    • @bobvx2000
      @bobvx2000 4 роки тому

      ty can you also the check

  • @kabonline09
    @kabonline09 5 років тому +1

    very good explanation... you are really good teacher and not for duffers like some of those who commented below....

  • @sonydeep5912
    @sonydeep5912 4 роки тому

    Why to fill c ( notation a, b and c) was b divided 2, where was 2 come from?

  • @anthonytriolo3643
    @anthonytriolo3643 5 років тому +1

    You are excellent ,that is the way I learned by doing all the steps.

    • @sankalpnagar5749
      @sankalpnagar5749 5 років тому

      Really - b+-root over b square - 4@c / 2a simple why to do this much and gone to pit of gutter

    • @captainch371
      @captainch371 4 роки тому

      Sankalp Nagar because they have to do it that way

  • @3dbadboy1
    @3dbadboy1 3 роки тому

    Can you bring the answer all over 12 (because of common denominators) or does the inclusion of 'i' not make that possible? (7 + i(143)² ) / 12 and (7 - i(143)² ) / 12 .

  • @mathsfamily6766
    @mathsfamily6766 3 роки тому +1

    Pretty good sir! Best explainer

    • @PreMath
      @PreMath  3 роки тому +1

      Thanks dear for the visit! You are awesome 👍 Take care dear and stay blessed😃 Kind regards

  • @larrypatterson3957
    @larrypatterson3957 6 років тому +5

    Since they have a common denominator, would you further simplify the solution as x = (7+i[143]^1/2)/12 and (7-i[143]^1/2)/12 ? Also, thank you for taking the time to show us this method. You have a very easy method of teaching that helps me to understand the material.

    • @PreMath
      @PreMath  6 років тому +2

      Dear Larry Patterson , you are absolutely correct. You may simplify it further. As a Math professor, I'd accept both versions of answers as perfectly alright. Thanks for the feedback. I'll be uploading many more video lessons pretty soon. Kind regards

    • @JamesMiller-rb3eo
      @JamesMiller-rb3eo 6 років тому

      Larry Patterson hi

    • @chadwickmeyer7844
      @chadwickmeyer7844 6 років тому

      Larry. I did this problem with my algebra class and then we watched the video together. Like you, we further simplified the final answer.

  • @kalpanakoirala9307
    @kalpanakoirala9307 Рік тому +1

    Thanks you sir for this video i got 5/5in my test of this topic thank you soo much ❤❤❤❤

  • @marcosreal11
    @marcosreal11 5 років тому +4

    The steps would have been easier if you had just multiplied -4/3 by 48/48 (to get the 48, divide 144 by 3). Then if you are weak at fractions you could multiply both sides of the equation by 144.

  • @gaBetibu
    @gaBetibu 6 років тому +5

    Hi, thank you for your kind, helpful explanation, but I didn't understand why you divide the 2nd term (b term) by 2? Thank you, again . . . & God Bless . . .

    • @gaBetibu
      @gaBetibu 6 років тому +2

      . . . oops, never mind, Sir . . . I just found the answer in one of your other super-great videos . . . Thank you so, so much, &, God Bless . . . :)

    • @PreMath
      @PreMath  6 років тому +3

      Dear Glo Amador, you are very welcome. Thank you so much for taking the time to leave this comment. I'm sure you are an awesome student. Keep it up. Best regards :)

  • @sk__gauravpatil8334
    @sk__gauravpatil8334 3 роки тому

    So best and great video but l am daily using video wow amazing sir l like you video

  • @earlsoriano3374
    @earlsoriano3374 4 роки тому +4

    thank you for this. i thought i'd never learn this, but thanks to your wisdom and clarity in explaining, i was able to do my cousin's hw

    • @PreMath
      @PreMath  4 роки тому +2

      You are very welcome Earl! I'm sure you are very smart 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and all the best😃 Have a very happy and blessed New Year!

  • @leslieanderson6413
    @leslieanderson6413 5 років тому +1

    where is he getting the 2/1 from?

    • @markedly1013
      @markedly1013 5 років тому

      Good question!

    • @captainch371
      @captainch371 4 роки тому

      Because he has to divide 7/6 by 2 and 2/1 is equal to 2

  • @profbenchahyd8776
    @profbenchahyd8776 4 роки тому +1

    please how to creat a matematics videos

    • @PreMath
      @PreMath  4 роки тому +2

      Dear Hassan, I use CamtasiaTechSmith utility for my videos. Take care😃

    • @profbenchahyd8776
      @profbenchahyd8776 4 роки тому +1

      @@PreMath Thank you so much

    • @PreMath
      @PreMath  4 роки тому +1

      @@profbenchahyd8776 My pleasure 😃

  • @umeshpatil907
    @umeshpatil907 4 роки тому +1

    Thanks sir This is my dad's phone .My teacher taught me this 5 five but i was not understanding .but yoday i saw ur video , u are fabulous I understood very fast

    • @PreMath
      @PreMath  4 роки тому +1

      You're very welcome Umesh! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep supporting my channel. Take care dear 😃

  • @sachinpai2886
    @sachinpai2886 3 роки тому +1

    You cannot take Square root of an expression. It has to be in simplified form. Else it should be in Modulus.

  • @jihanjiji1
    @jihanjiji1 4 роки тому +1

    Good thanks

    • @PreMath
      @PreMath  4 роки тому

      Thank you too!

  • @scottspartan9
    @scottspartan9 3 роки тому

    Why did you divide 7/6 by 2? Please clarify.

  • @manojsurya1005
    @manojsurya1005 4 роки тому +2

    Can I just use quadratic formula?

    • @PreMath
      @PreMath  4 роки тому +2

      Sure, you can! I used the completing the square method because my student requested me that method.
      Thanks for asking. Take care dear and all the best 😃

    • @manojsurya1005
      @manojsurya1005 4 роки тому

      @@PreMath thank u

    • @philippemichel4330
      @philippemichel4330 3 роки тому

      Yes it’s simpler.

    • @carultch
      @carultch 3 роки тому

      @@manojsurya1005 Completing the square is how the quadratic formula is derived in the first place. If all you are given in a problem, is to find the roots of the quadratic equation, you can use any method that is most convenient for you.
      If you are specifically told to use a particular method in the problem statement, you use that method.

  • @beartalon
    @beartalon 2 роки тому

    3 is a factor of 144. You only needed to multiply -4/3 by 48/48 and then add with 144 denominator. You could have saved steps there

  • @raeesuddin5660
    @raeesuddin5660 4 роки тому

    Can we multiply and divide the coefficient of x by 2 ?

  • @kevinvu9802
    @kevinvu9802 6 років тому

    Can you tell me which software you are using?

  • @TeWee.
    @TeWee. 5 років тому +3

    Im limited on my math. But why not split to binorminals and solve?

  • @venkateshbabu1504
    @venkateshbabu1504 4 роки тому

    If you want to make surface spread there are two solutions for I. An upper curve and a lower one.

  • @cobra4883
    @cobra4883 5 років тому +1

    how do you get sqrt3.143 equal to sqrt3 x sqrt143.

  • @petermarshall7352
    @petermarshall7352 5 років тому +2

    Just solve for x to the first power and iteratively solve.

  • @MATHSQA
    @MATHSQA 3 роки тому +1

    I love solving questions like this

  • @elida6366
    @elida6366 5 років тому +6

    I hate competing the square and by the way this absolutely helped me

  • @HDR.ali.3034
    @HDR.ali.3034 5 років тому +1

    Diff method also solve

  • @johnbell3166
    @johnbell3166 4 роки тому

    u cross multiply fractions? I thought u find like denominator and add the fractions? (-4/3+49/144)?

  • @johnniegilkerson4724
    @johnniegilkerson4724 6 років тому +1

    why not @ 5:36 x - (7/12)^2 + (429/432) = 0 then x = (7/12) - (sqrt 143)/12 and x = (7/12) + sqrt (143)/12

  • @alejandroortiz4223
    @alejandroortiz4223 4 роки тому

    Very clear to me as a student... Tnx

    • @PreMath
      @PreMath  4 роки тому +1

      You are very welcome Oordnajela Zitro ! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep sharing my channel with your family and friends.Take care dear and all the best😃

  • @karimelsheikh3296
    @karimelsheikh3296 2 роки тому

    What is the name of boared please ??

  • @josegeonzon3595
    @josegeonzon3595 6 років тому +2

    Sir can you answer this one, f(x) = x^2+3x+2 by completing the square

    • @PreMath
      @PreMath  6 років тому +1

      Dear Jose Geonzon, here is the solution:
      solve by completing the square x^2+3x+2 = 0 => x^2+3x = -2 =>
      x^2+3x +(3/2)^2= -2 +(3/2)^2 => (x + 3/2)^2 = -2 + 9/4 => (x + 3/2)^2 = 1/4 => take the square root on both sides and solve for x => x=-1, x=-2 are our solutions :)
      Thus, you can write your function f(x) = x^2+3x+2 as in this form as well
      => f(x) = (x + 3/2)^2 - 1/4. Thanks for asking. All the best :)

  • @גקדןרק
    @גקדןרק День тому

    7:40 i dont understand how did you get 3.143 and 3.144

  • @mshahkhan9178
    @mshahkhan9178 3 роки тому

    need more explanation because why should we take square of 7/2. There is logic behind and this logic should be explain. good effort

  • @djganit
    @djganit 4 роки тому +1

    Very good presentation

    • @PreMath
      @PreMath  4 роки тому +1

      Thanks a lot :)

  • @channelsixtysix066
    @channelsixtysix066 3 роки тому

    In electronic engineering, " i " is replaced with " j ". The reason for that is, lower case " i " is the current symbol in AC circuits.

  • @hichamroka9428
    @hichamroka9428 3 роки тому

    Good explication. Thanks

  • @MathsclassKI
    @MathsclassKI 5 років тому +1

    Very very good
    Very nice
    Super super

  • @yarrasateesh
    @yarrasateesh 5 років тому +1

    Why you use xsquare coefficient is one

  • @mkwazir
    @mkwazir 3 роки тому

    Amazing Good
    Well done
    Thank u sir

  • @learnmathsezy1
    @learnmathsezy1 6 років тому +1

    Nice explanation.
    which application r u used
    thanks

    • @PreMath
      @PreMath  6 років тому

      Thanks vinesh rathod for the feedback. Kind regards :)

  • @SAGAWISIW30
    @SAGAWISIW30 5 років тому +1

    X=squareroot of 7x-4 OVER 3

  • @Gaurav-bn4pk
    @Gaurav-bn4pk 3 роки тому

    Really appreciate it sir👌

  • @amingiahikhoshnam9082
    @amingiahikhoshnam9082 4 роки тому +7

    Multiply 6 by all the coefficients, then use the common sentence, then simplify the parentheses that can be simplified by 6.Why these long methods

    • @PreMath
      @PreMath  4 роки тому +1

      Thanks Amin for you nice feedback.
      Take care dear and all the best😃
      Have a very happy and blessed New Year!

    • @simonefrancis261
      @simonefrancis261 3 роки тому

      Omg 😳

  • @Hertog_von_Berkshire
    @Hertog_von_Berkshire 3 роки тому

    1:28 "The next thing what we want to do" ... I'm so glad this isn't an English lesson ... "isn't it".

  • @artmiller2341
    @artmiller2341 4 роки тому +1

    With two sheep flying, one yellow and the other heading right, how much does a pound of asphalt cost, given that the cow is 10 years old?

    • @Nissenov
      @Nissenov 4 роки тому

      It costs the taste of musik made from star dust.

    • @artmiller2341
      @artmiller2341 4 роки тому +1

      @@Nissenov lol