# Precalculus : Powers and Roots of Complex Numbers

## Example Questions

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### Example Question #21 : Powers And Roots Of Complex Numbers

Solve for  (there may be more than one solution).

Explanation:

To solve for the roots, just set equal to zero and solve for z using the quadratic formula, which is

and now setting both  and  equal to zero we end up with the answers  and  and so the correct answer is .

### Example Question #11 : Find The Roots Of Complex Numbers

Solve for all possible solutions to the quadratic expression:

Explanation:

Solve for complex values of  using the quadratic formula: .

### Example Question #23 : Powers And Roots Of Complex Numbers

Solve for  (there may be more than one solution).