Precalculus : Powers and Roots of Complex Numbers

Study concepts, example questions & explanations for Precalculus

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Example Questions

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Example Question #21 : Powers And Roots Of Complex Numbers

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

Possible Answers:

Correct answer:

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: 

Possible Answers:

Correct answer:

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).

Possible Answers:

Correct answer:

Explanation:

To solve for the roots, just set equal to zero and solve for  using the quadratic formula ():  and now setting both  and  equal to zero we end up with the answers  and .

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