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Let x₁, x₂ are the roots of the quadratic equation x² + a where a, b are complex numbers and y₁, y2 are the ro quadratic equation y² + lay+b=0. If x₁=x₂=1, th hat y₁=v₂l = 1.

Let x₁, x₂ are the roots of the quadratic equation x² + a where a, b are complex numbers and y₁, y2 are the ro quadratic equation y² + lay+b=0. If x₁=x₂=1, th hat y₁=v₂l = 1.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.4: Zeros Of A Polynomial
Problem 27E
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Let x₁, x₂ are the roots of the quadratic equation x² + ax + b =0, where a, b are complex numbers and y₁, y2 are the roots of the quadratic equation y² + lal y + b = 0. If|x₁|=|x₂|= 1, then prove that y₁= y₂ = 1.
Transcribed Image Text:Let x₁, x₂ are the roots of the quadratic equation x² + ax + b =0, where a, b are complex numbers and y₁, y2 are the roots of the quadratic equation y² + lal y + b = 0. If|x₁|=|x₂|= 1, then prove that y₁= y₂ = 1.
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