\[\large f(x,y)=14x^2+9y^2+22xy-42x-34y+35\]

Let reals \(x\) and \(y\) satisfying \(x\leq 2 \) and \(x+y \geq 2 \).

Find the minimum value of \(f(x,y)\).

Give your answer to 2 decimal places.

###### This problem was taken from Bac Ninh grade 10 entrance test.