Determine the minimum value of f(x, y) = $x ^ { 2 }$

Question

Determine the minimum value of f(x, y) = $x ^ { 2 }$ - xy + 2 $y ^ { 2 }$ + 4 subject to the constraint $x - y - 1 = 0$ Enter your answer exactly as just a, b where a is the minimum and b is the Lagrange multiplier, using integers or reduced fractions of form $\frac { \mathrm { c } } { \mathrm { d } }$ (no words or units).

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The Answer of Determine the minimum value of f(x, y) = $x ^ { 2 }$ - xy + 2 $y ^ { 2 }$ + 4 subject to the constraint $x - y - 1 = 0$ Enter your answer exactly as just a, b where a is the minimum and b is the Lagrange multiplier, using integers or reduced fractions of form $\frac { \mathrm { c } } { \mathrm { d } }$ (no words or units).

Determine the Minimum Value of F(x, Y) = x2x ^ { 2 }x2