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ParthKohli
 2 years ago
factoring
ParthKohli
 2 years ago
factoring

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ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.0Should I use \(a^3 + b^3 = (a + b)(a^2  ab+b^2)\)?

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.0Or am I complicating it?

drawar
 2 years ago
Best ResponseYou've already chosen the best response.2The factorization is not that easy to find

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.0Yeah, but Wolfram does give a simple solution.

drawar
 2 years ago
Best ResponseYou've already chosen the best response.2Why simple? Complex numbers join the party and you can't even find a real root to get started...

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.0Yeah, but the solution is simple. :P This is 9th grade math... I don't know why I'm not able to do this one

drawar
 2 years ago
Best ResponseYou've already chosen the best response.2\[\begin{array}{l} 9{x^4} + 9{x^3} + 8{x^2} + 9x + 9 = 0 \\ 9({x^4} + {x^3} + 2{x^2} + x + 1) = 10{x^2} \\ 9{({x^2} + 1)^2} + 9x({x^2} + 1)  10{x^2} = 0 \\ {\left( {3({x^2} + 1)} \right)^2} + \left( {3({x^2} + 1)} \right)(3x)  10{x^2} = 0 \\ {\left( {3({x^2} + 1)} \right)^2}  \left( {3({x^2} + 1)} \right)(2x) + \left( {3({x^2} + 1)} \right)(5x)  (2x)(5x) = 0 \\ \end{array}\] Actually 4 mins already, and I left out the last step :P

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.0Ha, but how did you choose to add \(10x^2\) to both sides? Doesn't it seem arbitrary?

drawar
 2 years ago
Best ResponseYou've already chosen the best response.2No it does not. At first glance I was going to add x^2 only, but then to complete the square I have to add another 9x^2

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.0How do you complete the square in a polynomial with degree 3 or higher? :O

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.0\[(3x)^2 + (3)^2\]has the middle term \(2(3x)^2 (3)^2 = 18x^2\). Thanks :)

drawar
 2 years ago
Best ResponseYou've already chosen the best response.2just pick the dominant term with even degree and add/subtract until you have a complete square

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0KUDOS FOR DRAWAR , GREAT WORK MR. DRAWAR :)

drawar
 2 years ago
Best ResponseYou've already chosen the best response.2Thanks for that @mathslover :) Oh kids have to study so many things nowadays...

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.0@drawar Can you send me the link where you learnt how to do this?

drawar
 2 years ago
Best ResponseYou've already chosen the best response.2Sorry I don't have any link to share here, just do more practice and you'll eventually get the hang of it!

drawar
 2 years ago
Best ResponseYou've already chosen the best response.2Just out of curiosity, are you a 9th grader?

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.0Just started 9th grade.

drawar
 2 years ago
Best ResponseYou've already chosen the best response.2Nice, all the best with your study then!
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