find all real or complex numbers z1 and z2 such that z1 z2 20 z1z2 29 enter the roots as a comma

Name: find all real or complex numbers z1 and z2 such that z1 z2 20 z1z2 29 enter the roots as a comma separated list of values of the form abi find the principal arguments phi in radians of all 4 14004
Uploaded: 2022-08-30T20:46:36-08:00
Duration: 4 min 18 s
Channel: Lydia Bausch
Description: find all real or complex numbers z1 and z2 such that z1 z2 20 z1z2 29 enter the roots as a comma separated list of values of the form abi find the principal arguments phi in radians of all 4 14004

Question

Maria Dearborn · Accepted Answer

First, we can rewrite the given equations as a quadratic equation. The quadratic equation is z^2

Question

Find all (real or complex) numbers z1 and z2 such that z1 +z2 = -20 z1z2 = 29. Enter the roots as a comma-separated list of values of the form a+bi. Find the principal arguments phi (in radians) of all 4th roots of a complex number having principal argument theta = 4/13 pie radians.

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