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 ·

Is it 7?

1
Kaustab Sarkar ·

no its 12

341
Hari Shankar ·

ya sry, thats right, 12

1
Kaustab Sarkar ·

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

1
fibonacci ·

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}})

1
Kaustab Sarkar ·

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

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