Determine the Minimum of F(x, Y) = $x ^ { 2 }$

Short Answer

Determine the minimum of f(x, y) = $x ^ { 2 }$ + 2 $y ^ { 2 }$ subject to the constraint x - 2y + 3 = 0.
Enter your answer exactly as just a, b where a is the minimum and b is the Lagrange multiplier, both as integers (no labels).