Question

Solve the equation x4 – 26x2 + 25 = 0 in the real number system.

Answer 1

x = -1, 1, -5 , 5.

Explanation:

x4 – 26x2 + 25 = 0

Factoring:

(x^2 - 25)(x^2 - 1) = 0

So x^2 - 25 = 0 gives x^2 = 25 and x = +/- 5.

x^2 - 1 gives x^2 = 1 and x = +/- 1.