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433x2+y2+1729xy+3x−3y+1729!433x^{2}+y^{2}+\sqrt{1729}xy+\sqrt{3}x-\sqrt{3}y+1729!433x2+y2+1729xy+3x−3y+1729!
For real values of xxx and yyy the above expression attains minimum value at x=Mx=Mx=M and y=Ny=Ny=N. And M+N=abM+N=a\sqrt{b}M+N=ab, where aaa is positive integer and bbb is square-free. Find a−ba-ba−b.
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