### Home > CCA2 > Chapter 12 > Lesson 12.1.4 > Problem12-83

12-83.

Write a quadratic equation with roots $x = 3 ± 5i$.

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

Use the factors to write and simplify an equation.
$(x - 3 + 5i)(x - 3 - 5i) = 0$

$x^2 - 6x + 34 = 0$