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12-83.

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

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

x2 − 6x + 34 = 0