Y by
Determine the smallest real constant
such that the inequality
holds for all real numbers
and
. For which values of
and
does equality hold for this smallest constant
?
(Walther Janous)

![\[(X+Y)^2(X^2+Y^2+C)+(1-XY)^2 \ge 0\]](http://latex.artofproblemsolving.com/b/7/7/b77a09cb77ac756308011dcf7f301a3072e90383.png)





(Walther Janous)
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