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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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