Question

Find a quadratic equation with roots –1 + 4i and –1 – 4i.

Answer 1

(x+1)^2=-16
x2+2x+17=0

Answer 2

put it like this:
(x-(-1+4i))(x-(-1-4i)=0
(x+1-4i)(x+1+4i)=0
x^2+2x+17=0

Answer 3

i give you a perfect solution but you dont mention it
(x-a)^2=-b2