Let x₁, x₂ are the roots of the quadratic equation v' + a+b=0. where a, & are complex numbers and y₁, y, are the roots of the quadratic equationy + [aly+2-0. If-p-1, then prove that bl-al-1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 50E
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Let x₁, * are the roots of the quadratic equation x² + ax+b=0,
where a, & are complex numbers and y₁, y are the roots of the
quadratic equation y³ + [a]y+ [4] = 0. If=p=1, then prove
that yllyl=1.
Transcribed Image Text:Let x₁, * are the roots of the quadratic equation x² + ax+b=0, where a, & are complex numbers and y₁, y are the roots of the quadratic equation y³ + [a]y+ [4] = 0. If=p=1, then prove that yllyl=1.
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