Solving Algebraic Equations With Roots and Exponents
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- Опубліковано 5 жов 2024
- Now that we can simplify expressions with roots and exponents, we can pretty easily solve equations that contain them, too. We still are just undoing operations that the variable is participating in, we just have to take square roots instead of adding and subtracting. Give it a try, you'll do great!
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I thought I wasn't a math person. But you helped me prove myself that was wrong
love the way you teach, im 36 now and i wanna start to get my bachelor's degree in this age, i wanna study industrial engineering which has some math, thats why before starting im watching your vids, they were so far very helpful
Same here. Decided to finally finish my electronic engineering studies. Now on the last lesson which involves transforms, differentiation and matrixes. So just binging. It is kind of fun too. We have come a long way from boring classrooms to this sleek presentation.
Underrated channel
Love your content. you are straight to the point without being boring and its well edited and great audio
Its a pleasure not to listen to an audio clip that's 80% reverb
Yea he's just saving my life and he doesn't try to have 8 minute videos to get more money by ads
@@aminmkyt4191 I thought it was 10 min
UA-cam wanted to make it 8, I don't know if they did it or not
underrated channel. you helped me so much. I always thought I wasn’t a math person, but I just had some bad teachers. I’m in 9th grade and I really want to start being good at it.
I'm exactly in the same boat. Hated maths 'cuz i thought it isn't my cup of tea...however he taught me Maths could also be fun. More power to him :)
I have to say, even after the lesson, the checking comprehension questions were ... easy. Are there any other challenging algebra questions that cover all the topics of this and previous videos?
Was wondering the same thing.
search on youtube
It's not easy for me 😊
same
I'm 31 doing my 2nd degree, and I've never seen math explained so well! I'll be watching all of these math videos over the next couple days. Thank you Dave
31^2 is over 900. You are NOT 900
@@MysteriousObjectsOfficial Classic joke
The 3/2 to 2/3 really confuses me but I just take it in my head that if the *exponent is a fraction* and you want to cancel it by putting it on another side, you need to *inverse the fraction-exponent* on the other side.
You're the best professor ever! Thank you!
Thank you for your videos! I'm studying engineering mathematics, but noticed I had some gaps in knowledge. This helped as a great reminder, and I definitely learned a thing or two!
Last lesson was insane, could not figure it out, had to look in comments to even come close to getting answers and I still don't understand it. This lesson was way better.
Checking Comprehension is learning eternally.
I used to hate maths but thanks to you now i love it ! Thank you so much professor.
4 to the power of three is 64, then 64 - 15 is 49- HOLY CRAP IT'S A PERFECT SQUARE OH OH OH OH OH X SQUARED IS ON THE OTHER SIDE!! YESSSSS that feels so good
22. Write down the comment to say for the first time for all playlist I felt like it was easy. Just need a strategic approach, and it just works.
Super sir. Sir please make a video on how to find roots of a cubic polynomial
that's coming so soon!
He sucks
@@jjwillams6480 That's your opinion. Other people may find this useful. Use constructive criticism to explain what could be done better or click off the video and use other resources instead of telling people who enjoy the content that it's trash.
DarkSpace can u tell me how to solve the 3rd comprehension?
professor, could you please create a video collecting all the tricks you teach in this series so that it is a great reference for us?
Why the answer to the last one is 3? :/ I get x3=25
square both sides to get 36, subtract 9 to get 27, cube root gives you 3
@@ProfessorDaveExplains thanks a lot sir ,a student from India
instead of always adding and subtracting on both sides, why don't you just move a term to the oder side, changing his sign? when you had 9x-9=x+1, just move the 9 on the righ and the x on the left, so you get 9x-x=1+9, then 8x=10. you do the same thing, just with less steps
can someone explain the second and the fourth practice question?
If x³-9=-17, then x³-9+9=-17+9, which is x³=-8. 3√ of x³ is x, 3√ of -8 is -2
on the 4th question, we can negate the square root by squaring both sides, which leaves us x³+9=36, x³+9-9=36-9, x³=27, x=3
@@b52stealthbomber25 why in 4th case x isnt =x⁵? as we know in (x³)² its just be = x⁵
@@b52stealthbomber25 bro isn,t 17+8=26 so how is it 8.3
@@randompersonsfather6077 that's negative 17
@@dephin2052 bro the ^2 got rid of the square root so it's gone after that.
Thank you so much!
(1) x = 5
(2) X = -2
(3) X³ + ✓5 = 1
(4) X⅜ = 3
thnx man
Sir how to solve that no3 answer is 7or-7
Raise both terms to the power of 3 to get rid of the cube root:
x^2+15 = 64
x^2 = 49
x = 7, -7
@@ta_ogboy9998 but I do this from different method but the answer is same.
@@Mr.Paheli.131 May I ask what method you use?
@@Mr.Paheli.131 which method
🤩finally understanding
thanks g
Why x^1/2 + 3 = 5 does'nt work
i don't understand how to solve problem #3
Raise both terms to the power of 3 to get rid of the cube root:
x^2+15 = 64
x^2 = 49
x = 7, -7
@@ta_ogboy9998 thx
why is the last question +3 only not negative 3 and positive 3
when the nth root is odd, we can only have one solution
@@maknify4538 aha, got it thank you mate!
I 💓 ur In intro...!!!
can someoneeeee explainnit to me i wrong x^3-9=-17 ?
keep uploading videos :)
Wow
Maybe the real treasure were the cubic roots we made along the way....
Just kidding, you've saved my day 👍👍
i Couldn’t do the 3rd comprehension....can someone send me the solution please??☹️
First cube everything to get ride of the cube root. This leaves us with x^2 + 15 = 64.
Subtract 15 from both sides leaving x^2 = 49. Take the square root of both sides and you get x = 7, -7.
@@nalaroe3646 shouldn't the {3^2=9} be there? how does it magically disappear?
your solution to the problem does makes sense though.
@@nalaroe3646 he squares it not cubes it.
@@czar2074 I don't know what you're talking about. The third comprehension problem (bottom left) has no 3^2=9 and we defiantly have to cube everything to get ride of the cube root.
❤❤
he got a little lazy. gotta show all the steps to your solutions especially as it gets more complicated bro.
I thought i wasnt a maths guy... I was right.
Bruh i was doing so fine untill the square root bs lol
Me in 2024🙄