Maximize the Function F(x, Y) = $x ^ { 2 }$

Short Answer

Maximize the function f(x, y) = $x ^ { 2 }$ - $y ^ { 2 }$ subject to the constraint $y - x ^ { 2 } = - \frac { 1 } { 2 } , x , y > 0$
Enter your answer as just a reduced fraction of form $\frac { a } { b }$ .