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

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

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

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

drawar
 one year 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
 one year 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
 one year 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
 one year 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
 one year 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
 one year 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
 one year 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
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0KUDOS FOR DRAWAR , GREAT WORK MR. DRAWAR :)

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

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

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

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