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

Short Answer

Minimize the function f(x, y, z) = $x ^ { 2 }$ + $y ^ { 2 }$ + $z ^ { 2 }$ subject to the constraint $x + y + z = 2$ Enter your answer an just a reduced fraction of form $$\frac { a } { b }$$ .