### Home > A2C > Chapter 11 > Lesson 11.3.2 > Problem 11-143

11-143.

Write a quadratic equation with roots *x* = 3 ± 5*i*. Homework Help ✎

If the roots are *x* = ± 5*i*, then the factors must be (*x* − (3 + 5*i*)) and (*x* − (3 − 5*i*)).

Use the factors to write an equation.

(*x* − 3 + 5*i*)(*x* − 3 − 5*i*) = 0

Multiply.

(*x* − 3)^{2} − 25*i* ^{2} = 0

*x*^{2} − 6*x* + 34 = 0