- 825 名前：１３２人目の素数さん mailto:sage [2011/12/20(火) 22:34:11.62 ]
- >>823
Problem 2.
Given real numbers x,y,z such that x+y+z=0, show that
x(x+2)/(2x^2 +1) + y(y+1)/(2y^2 +1) + z(z+2)/(2z^2 +1) ≧ 0,
When does equality hold ?
Problem 372.
For all a,b,c>0 and abc=1, prove that
1/{a(a+1)+ab(ab+1)} + 1/{b(b+1)+bc(bc+1)} + 1/{c(c+1)+ca(ca+1)} ≧ 3/4.
