Answered: After first factoring the polynomial…

After first factoring the polynomial use Demoire's theorem to find all complex numbers, z, that satisfy z^5 + z^3 + jz^2=0. Give exact answer in Cartesian form.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.6: De Moivre’s Theorem And Nth Roots Of Complex Numbers

Problem 12E

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After first factoring the polynomial use Demoire's theorem to find all complex numbers, z, that satisfy z^5 + z^3 + jz^2=0. Give exact answer in Cartesian form.

Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.

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