# i need some ideas

• September 1st 2008, 04:48 AM
ely_en
i need some ideas
a, b, c -positive real numbers
abc=1
show that (a+b)/[2(a^7+b^7+c)]+(b+c)/[2(b^7+c^7+a)]+(c+a)/[2(c^7+a^7+b)]<=1
thanks
• September 6th 2008, 07:22 AM
courteous
Hi,

I would assume that you should make the nominator (top part of a fraction) a 1 (number one), whilst having the denominator (lower part) a positive number (which all in all is less than (or equal) to 1).

You could've also denote the $a^7 = x$, etc.

No concrete solution though. (Speechless)