Let x,y,z be distinct real numbers that sum to 0. Find the maximum possible value of\
xy+yz+zxx2+y2+z2.
(x+y+z)2=x2+y2+z2+2xy+2xz+2yz 0=(x+y+z)2x2+y2+z2=2xy+2xz+2yzx2+y2+z2+1 xy+xz+yzx2+y2+z2=−12
Thankyou Rom
+170 
