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Albert
Well-known member
- Jan 25, 2013
- 1,225
$x,y,z\in R^+$
given :
$x^3+y^3+z^3=1$
find the largest value of k such that the following inequality always holds:
$\dfrac {25}{x^3}+\dfrac{16}{y^3}+\dfrac {9}{z^3} \geq k$
given :
$x^3+y^3+z^3=1$
find the largest value of k such that the following inequality always holds:
$\dfrac {25}{x^3}+\dfrac{16}{y^3}+\dfrac {9}{z^3} \geq k$