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For a positive integer n, the complex number z = r(cos 0 + i sin 0) has exactly n distinct nth roots given by e + 2rk 0 + 2ak vi(cos. +i sin where k = 0, 1, 2, ..., n - 1. Use the formula above to find all the solutions of the equation and represent the solutions graphically. (Round your answers to four decimal places.) x4 + (9 + 9i) = 0 k = 0: k = 1: k = 2: k = 3:

For a positive integer n, the complex number z = r(cos 0 + i sin 0) has exactly n distinct nth roots given by e + 2rk 0 + 2ak vi(cos. +i sin where k = 0, 1, 2, ..., n - 1. Use the formula above to find all the solutions of the equation and represent the solutions graphically. (Round your answers to four decimal places.) x4 + (9 + 9i) = 0 k = 0: k = 1: k = 2: k = 3:

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 63E
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Use the formula above to find all the solutions of the equation and represent the solutions graphically. (Round your answers to four decimal places.)

x4 + (9 + 9i) = 0

 

For a positive integer n, the complex number z = r(cos 0 + i sin 0) has exactly n distinct nth roots given by 0 + 2nk 0 + 2rk + i sin n n where k = 0, 1, 2, . . . , n – 1. Use the formula above to find all the solutions of the equation and represent the solutions graphically. (Round your answers to four decimal places.) x4 + (9 + 9i) = k = 0: k = 1: k = 2: k = 3:
Transcribed Image Text:For a positive integer n, the complex number z = r(cos 0 + i sin 0) has exactly n distinct nth roots given by 0 + 2nk 0 + 2rk + i sin n n where k = 0, 1, 2, . . . , n – 1. Use the formula above to find all the solutions of the equation and represent the solutions graphically. (Round your answers to four decimal places.) x4 + (9 + 9i) = k = 0: k = 1: k = 2: k = 3:
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