Answer to Question #2850 in Algebra for vikram kumar

Question

factorize-
a[sup]4[/sup]+a[sup]2[/sup]+25

Answer 1

To factorize this expression we have to solve the following equation:
a⁴+ a² + 25 = 0
D = 1 - 100 = -99
a² = (-1 + i√99)/2 and a² = (-1 - i√99)/2
(a² + 1/2 - i√99/2)(a² + 1/2 + i√99/2) for further factorization you have to find the square roots of both a² s.