Write a quadratic equation with roots 2 - 3i and 2 + 3i.

Question

I just need confirmation I did it correctly. I got y = x^2-4x+13

Answer 1

Your calculations are correct
(sum of roots = 2+3i + 2-3i = 4
product of roots = (2+3i)(2-3i) = 4-(-9) = 13 )

It said to write the quadratic equation, which is
x^2 - 4x + 13 = 0

you had y = x^2 - 4x + 13 , which is the quadratic function.