Find All Points (X, Y) Where F(x, Y) = $x ^ { 2 }$

Short Answer

Find all points (x, y) where f(x, y) = $x ^ { 2 }$ - 2 $y ^ { 2 }$ + 4x - 6y + 8 has a possible relative maximum or minimum.
Enter your answer as just (a, b) where a, b are either integers or reduced fractions of form $\frac { \mathrm { c } } { \mathrm { d } }$ .