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Let a, y, z be positive real numbers such that r +y+z xyz. Prove that 1 1 1 1 1 1 1+ x2 1+ y2 1+ 22 1+ xy 1+ yz 1+ zx

Let a, y, z be positive real numbers such that r +y+z xyz. Prove that 1 1 1 1 1 1 1+ x2 1+ y2 1+ 22 1+ xy 1+ yz 1+ zx

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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Let r, y, z be positive real numbers such that r+ y + z = xyz. Prove that 1 + 1+ x2 1 1 1 1 1 1+ y2 1+ 22 1+ xy 1+ yz 1+ zx
Transcribed Image Text:Let r, y, z be positive real numbers such that r+ y + z = xyz. Prove that 1 + 1+ x2 1 1 1 1 1 1+ y2 1+ 22 1+ xy 1+ yz 1+ zx
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