- #1
timetraveller123
- 621
- 45
Homework Statement
Homework Equations
The Attempt at a Solution
i just straight up applied am gm
##\frac {x}{y+z} + \frac{y}{x+z} + \frac{z}{x+y} \geq 3(\sqrt[3]{\frac{1}{(y+z)(x+z)(x+y)}})
##
so the denominator is which i had to maximise
##
x^2(y+z) + y^2(x+z) +z^2(x + y) + 2\\
\frac{y+z}{y^2z^2} + \frac{x+z}{x^2 z^2 } + \frac{x+ y}{x^2 y^2}
##
i am hoping to maximise this expression i was thinking maybe cauchy inequality might help
am i on the right track please help me thanks !