Question

What is the quadratic equation with the roots -3+2i?

Answer 1

imaginary solutions
if one of them is -3+2i then 2nd one would be -3-2i
remember when we take square root we get plus/minus solution

so x =-3+2i
x=-3-2i
set it equal to zero
\[\huge\rm (x-(-3+2i))(x-(-3-2i))\]

Answer 2

now first distribute by negative