Illustration 2 If the roots of equation - 2cx + ab = 0 are real and unequal, then prove that the roots of r²-2(a + b) x + a² + b² +2c²=0 will be imaginary.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter1: Equations And Graphs
Section1.5: Complex Numbers
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Illustration 2 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.
-
Transcribed Image Text:Illustration 2 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. -
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