Solve x3 - 125 = 0 by factoring the left side as the difference of two cubes and using the zero-factor property. Compare the solutions to those obtained by solving for x³ and then using trigonometric form and the nth root theorem. The solution set is { }. (Simplify your answer. Use integers or fractions for any numbers in the expression. Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.)

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
Question
Solve x3 – 125 = 0 by factoring the left side as the difference of two cubes and using the zero-factor property. Compare the solutions to those obtained by solving for x3
and then using trigonometric form and the nth root theorem.
The solution set is { }
(Simplify your answer. Use integers or fractions for any numbers in the expression. Type an exact answer, using radicals and i as needed. Use a comma to separate
answers as needed.)
Transcribed Image Text:Solve x3 – 125 = 0 by factoring the left side as the difference of two cubes and using the zero-factor property. Compare the solutions to those obtained by solving for x3 and then using trigonometric form and the nth root theorem. The solution set is { } (Simplify your answer. Use integers or fractions for any numbers in the expression. Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.)
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