Question

x^2+8x+32=0

Answer 1

Use the quadratic formula to find the roots. There are no real roots for this equation.

Answer 2

x^2+8x+32 = 0
(4+d)(4-d) = 32
(4+d)+(4-d) = 8
d = 4+4i

x^2 +(4+4i)x + (4-4i)x +32 = 0
x(x+4+4i)+(4-4i)(x+4+4i)=0
(x+4-4i)(x+4+4i) = 0

x = -4-4i
x = -4+4i