(x+3)squared=-64 solving using the square root property.

Question

(x+3)²=-64

solving using square root property

I can't find any examples with a negative number. I am assuming no solution however NEED CLARITY

Answer 1

(x + 3)² = -64

(x + 3) = √-64

x + 3 = (√64)(√-1)

x + 3 = ±8(√-1)           √-1 = i

x + 3 = ±8i

x = -3 ± 8i