SOLUTION: What are real or imaginary solutions of the polynomials. x^4-52x^2+576=0.

Question 1038065: What are real or imaginary solutions of the polynomials. x^4-52x^2+576=0.
Found 2 solutions by Boreal, josmiceli:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
x^4-52x^2+576=0
(x^2-36)(x^2-16)=0
x=+/-6; +/-4
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let
then
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Rewrite the equation:

Complete the square:

Take the square root of both sides

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also, using the negative square root of ,.

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Now go back to

and

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I get 4 real solutions,

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You can check these by plugging back into equation
Here's the plot:

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