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6. If z = a+i is a root of the equation z² – 6z + 10 = 0, find the value of a, if a is a real %3D number.

6. If z = a+i is a root of the equation z² – 6z + 10 = 0, find the value of a, if a is a real %3D number.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
Problem 49PS
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6. If z = a +i is a root of the equation z2 – 6z + 10 = 0, find the value of a, if a is a real number.
Transcribed Image Text:6. If z = a +i is a root of the equation z2 – 6z + 10 = 0, find the value of a, if a is a real number.
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