Problem 1 The equation &r+ 12r +4x-1 = 0 has roots a, B. Y. Show that the equation with roots 2a + 1, 2B+1, 2y + I is y-y-1 = 0. The sum (2a + 1)" + (2B +1)"+ (2y + 1)" is denoted by S. Find the values of S, and S, -2"

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem 1
The equation
&r+12x+4x-1 = 0
has roots a, B. Y. Show that the equation with roots 2a + 1, 2B + 1, 2y +I is
y-y-1 0.
The sum (2a + 1)" + (2B + 1)" + (2y + 1)" is denoted by S. Find the values ofS, and S,.
Transcribed Image Text:Problem 1 The equation &r+12x+4x-1 = 0 has roots a, B. Y. Show that the equation with roots 2a + 1, 2B + 1, 2y +I is y-y-1 0. The sum (2a + 1)" + (2B + 1)" + (2y + 1)" is denoted by S. Find the values ofS, and S,.
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