What are the real or imaginary solutions of the polynomial equation x^4-52x^2+576=0?

ANSWER

The solutions are,



EXPLANATION

The given polynomial equation is,



We can rewrite the equation to obtain,



If we let



Then our equation becomes,



This is a quadratic equation that can be solved by factoring.

We split the middle term to obtain,



This factors to give us,







This implies that,





There real solutions are,