Find the least and greatest value of f(x...

Find the least and greatest value of `f(x,y) = x^(2) + y ^(2) - xy` where x and y are connected by the relation `x^(2)+4y^(2) = 4`.

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The correct Answer is:

The greatest value of` f(x,y)= sqrt13/2+5/2= (5+sqrt13)/2 `
and the least value of `f(x,y) = -sqrt13/2+5/2 =( 5-sqrt13)/2`

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