# Difference between revisions of "Talk:TPA's equality"

Found this counterexample:

Consider $x^4+y^4 - 2 (x^2 +y^2) + x y \geqslant -\frac{25}{8}$. When x is set equal to y then there is no solution for x and y that satisfies the equality. However when taking $(x,y)=\left(\frac{\sqrt{5}}{2},-\frac{\sqrt{5}}{2} \right)$ the equality does hold. This theorem is complete.

Will the conditions of the theorem be updated or is it to be deleted?

Should get deleted