1 The condition that the roots of the equation x³- px²+qx-r=0 may be in harmonic progression is (a) 9r² - 27pqr + 2q³ (b) 27r²-9pqr + 2q³ = 0 (c) r² - 9pqr+2q³ (d) None of these

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1
The condition that the roots of the equation x³-
px²+qx-r=0 may be in harmonic progression
is
(a) 9r² - 27pqr + 2q³
(b) 27r²-9pqr + 2q³ = 0
(c) r² - 9pqr+2q³
(d) None of these
Transcribed Image Text:1 The condition that the roots of the equation x³- px²+qx-r=0 may be in harmonic progression is (a) 9r² - 27pqr + 2q³ (b) 27r²-9pqr + 2q³ = 0 (c) r² - 9pqr+2q³ (d) None of these
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