Question

Use square roots to solve the
equation x2 = -121 over the
complex numbers.​

Answer 1

x = ±11i

Explanation:

x^2 = -121

Take the square root of each side

sqrt(x^2) = sqrt(-121)

sqrt(x^2) = sqrt (-1) *sqrt(121)

We know that the sqrt(-1) is i

x = i ( ±11)

x = ±11i