Question

What are the real or imaginary solutions of the polynomial equation?

Answer 1

x^4 - 41x^2 = -400

Answer 2

first write it as
x^4 -41x^2 +400 = 0

if you let y=x^2, you can say
y^2 -41y +400 =0

do you know how to use the quadratic formula to find y ?
once you find the two values of y, x = ±sqrt(y)

Answer 3

The quadratic formula.
\[\huge x = \frac{ -b \pm \sqrt{b^2-4(a)(c)} }{ 2(a) }\]
Your values of a, b, and c are found from looking at this ax^2 + bx + c = 0
For this equation a = 1 , b= -41 , c = 400