### Home > CCA2 > Chapter 12 > Lesson 12.1.4 > Problem 12-83

12-83.

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

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

Use the factors to write and simplify an equation.

(*x* − 3 + 5*i*)(*x* − 3 − 5*i*) = 0

*x*^{2} − 6*x* + 34 = 0