The condition that the roots of the equation x³ - px² +qx-r=0 may be in arithmetical progression is (a) p³-9pq-27r=0 (b) 2p³-9pq-27r=0 (c) 2p³-9pq+27r=0 (d) None of these

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The condition that the roots of the equation x³.
1
px² +qx-r=0 may be in arithmetical progression
is
(a) p³-9pq-27r=0
(b) 2p³-9pq-27r=0
(c) 2p³ -9pq + 27r=0
(d) None of these
Transcribed Image Text:The condition that the roots of the equation x³. 1 px² +qx-r=0 may be in arithmetical progression is (a) p³-9pq-27r=0 (b) 2p³-9pq-27r=0 (c) 2p³ -9pq + 27r=0 (d) None of these
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