greatest value

if x²2 + y²3 +z²6 =12

find the greatest possible value of ( x/2 + y/3 + z/6 )²

jus give the hint only [1]

6 Answers

341

Hari Shankar ·2009-11-10 02:34:46

Is it 7?

no its 12

341

Hari Shankar ·2009-11-10 02:38:39

ya sry, thats right, 12

so sir can u give me hint of how to go abt it [1]

HINT = cauchy schwarz
on (\frac{x}{\sqrt{2}}.\frac{y}{\sqrt{3}},\frac{z}{\sqrt{6}}\ and \frac{1}{\sqrt{2}},\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{6}})

thanx fibo........btw is der any other way other than dis

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