If the roots of equation x² - 2cx + ab = 0 are real and unequal, - then prove that the roots of x² -2(a+b)x+ a² + b² +2c² = 0 will be imaginary.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
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If the roots of equation x² - 2cx + ab = 0 are real and unequal,
-2(a+b)x+ a² + b² +2c² = 0
then prove that the roots of x²
will be imaginary.
Transcribed Image Text:If the roots of equation x² - 2cx + ab = 0 are real and unequal, -2(a+b)x+ a² + b² +2c² = 0 then prove that the roots of x² will be imaginary.
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