Question

find a quadratic equation with roots
-1 + 4i and -1 -4i

Answer 1

want to do it real real fast?

Answer 2

if the root is \(a+bi\) the quadratic is
\[x^2-2ax+a^2+b^2\]

Answer 3

in your case \(a=-1,b=4\) plug it in

Answer 4

x^2 - 2(-1x) + -1^2 + 4^2

Answer 5

better known as \[x^2+2x+17\]

Answer 6

Thank you!!!!