SOLUTION: The orignal equation started like this: {{{x^4+18=11x^2}}} Eventually i simplified it to this {{{(x+3)(x-3)(x^2-2)}}} So would my answer just be -3 and 3? What do i do with

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: The orignal equation started like this: {{{x^4+18=11x^2}}} Eventually i simplified it to this {{{(x+3)(x-3)(x^2-2)}}} So would my answer just be -3 and 3? What do i do with      Log On


   

Question 119941: The orignal equation started like this:
x%5E4%2B18=11x%5E2
Eventually i simplified it to this
%28x%2B3%29%28x-3%29%28x%5E2-2%29
So would my answer just be -3 and 3? What do i do with the x%5E2-2 since its unfactorable?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x^4+18=11x^2
x^4 - 11x^2 + 18 = 0
Factor to get:
(x^2-9)(x^2-2)=0
x^2-9 = 0 or x^2-2 = 0
(x-3)(x+3)= 0 or (x-sqrt2)(x+sqrt2)=0
x = 3 or x=-3 or x=sqrt2 or x=-sqrt2
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Cheers,
Stan H.