Mr. Organic Chemistry Tutor, thank you for an exceptional video/lecture on Factoring in Algebra/ College Algebra. There are multiple ways to Factor in Mathematics. The trial-and-error method comes with deep experience.
@@sergioh5515 This is just the quadratic formula, but in reverse...which is pretty much what was done this video, lol. Also, this video addresses when a≠1, and that "alternative method" doesn't.
Next time you may want to say something about eigenvalues. How they can be used to quickly check a solution of a quadratic equation i.e. ax^2+bx+c=0 Has the solution (a1x+b1)(a2x+b2)=0 where a1*a2=a, b1+b2=b, b1*b2=c
i'm not sure if this is the right video to ask, or if there's a video already that could help me, but one of my problems is weird. 3k^2(k + 10) = 0 tried solving it in my own and got -10/3 but apparently the answer is 0 and -10?
anything multiplied with 0 is 0, the 3k^2 = 0, simplify it you should get k=0, for the other part we are left with k+10=0, shifting 10 to the other side of the equation we should get k=-10 hope this helps
@Konstantin you can find √27225 by breaking out numbers divisible with it until you are left with a prime number under a root sign or with integers, for example: 27225 is divisible by 5 so you can write √27225 as √5 * √5445. you can continue breaking out divisible numbers until you are left with the integer 165 in this case. be cautious with this as you cant break out the "whole" 5 out of √27225 because the number 27225 is under a root sign. a rule of thumb is when you work with roots, simplify the term(s) until you got "nicer" roots to work with. i got something like this: √27225 = √5 * √5 * √9 * √121 = 5 * 3 * 11 = 165 hope this helped :)
I guess Im asking randomly but does anyone know of a method to log back into an Instagram account?? I was stupid lost the account password. I love any tricks you can give me
@Allan Quinton I really appreciate your reply. I found the site on google and Im in the hacking process now. I see it takes a while so I will get back to you later with my results.
Everything was perfect until I got to -90/216 and 240/16. After that point it seems to be a "game of luck" because it seems it all about just guessing the right way as it seems to be totally different for every trinomial case. Can somebody explain me the logic from the 24*10/36*6 point until -5/12, and why is this the only solution? What is the logic behind this approach? Because this is what I didn't make it to understand (and as a result, didn't make it to solve the whole problem....
Mr. Organic Chemistry Tutor, thank you for an exceptional video/lecture on Factoring in Algebra/ College Algebra. There are multiple ways to Factor in Mathematics. The trial-and-error method comes with deep experience.
You should include a new method recently introduced for solving quadratics... it's getting a lot of attention and press in the math community
What method?
@@gabeugenio ua-cam.com/video/ZBalWWHYFQc/v-deo.html
@@sergioh5515 Thanks for that!
@@sergioh5515 This is just the quadratic formula, but in reverse...which is pretty much what was done this video, lol. Also, this video addresses when a≠1, and that "alternative method" doesn't.
@@deoxyde it's far more intuitive and it is generalized at the end
@9:36 why did u rearrange it that way?
It is because those terms can be written in the form of (a+b)^2=a^2+2ab+b^2. And when we are factoring all the terms must be in the form of product.
I was wondering if there is some cases like this, do we really use this quadratic formula or there's other methods like this?
Next time you may want to say something about eigenvalues. How they can be used to quickly check a solution of a quadratic equation i.e.
ax^2+bx+c=0
Has the solution
(a1x+b1)(a2x+b2)=0
where
a1*a2=a, b1+b2=b, b1*b2=c
i'm not sure if this is the right video to ask, or if there's a video already that could help me, but one of my problems is weird.
3k^2(k + 10) = 0
tried solving it in my own and got -10/3 but apparently the answer is 0 and -10?
anything multiplied with 0 is 0, the 3k^2 = 0, simplify it you should get k=0, for the other part we are left with k+10=0, shifting 10 to the other side of the equation we should get k=-10
hope this helps
How did you find the sqrt 27225?
@Konstantin
you can find √27225 by breaking out numbers divisible with it until you are left with a prime number under a root sign or with integers, for example: 27225 is divisible by 5 so you can write √27225 as √5 * √5445. you can continue breaking out divisible numbers until you are left with the integer 165 in this case.
be cautious with this as you cant break out the "whole" 5 out of √27225 because the number 27225 is under a root sign.
a rule of thumb is when you work with roots, simplify the term(s) until you got "nicer" roots to work with.
i got something like this:
√27225 = √5 * √5 * √9 * √121 = 5 * 3 * 11 = 165
hope this helped :)
@@saitama3030THANK YOU SO MUCHHH
@@saitama3030 why not just take lcm ? Then write down all factors and the all of ones which is occurring twice move it out of the square root?
Can i know the program you use?
I guess Im asking randomly but does anyone know of a method to log back into an Instagram account??
I was stupid lost the account password. I love any tricks you can give me
@Scott Elon Instablaster ;)
@Allan Quinton I really appreciate your reply. I found the site on google and Im in the hacking process now.
I see it takes a while so I will get back to you later with my results.
@Allan Quinton it did the trick and I actually got access to my account again. I am so happy:D
Thank you so much, you saved my account!
@Scott Elon You are welcome :D
what if its x to the 4th
(ln e + (1+√9/2²))° comment
Yesterday this topic confused me thanks
What If the number isn't a perfect square
Dude im in 6th and... i dont even know
Bro we need some new content
Invite someone or something
Everything was perfect until I got to -90/216 and 240/16. After that point it seems to be a "game of luck" because it seems it all about just guessing the right way as it seems to be totally different for every trinomial case. Can somebody explain me the logic from the 24*10/36*6 point until -5/12, and why is this the only solution? What is the logic behind this approach? Because this is what I didn't make it to understand (and as a result, didn't make it to solve the whole problem....