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y(x) = sqrt(4+4x) - sqrt(x).
Using calculus, one finds x=1/3 and thus y=sqrt(3).
The question is: Is there a neat way to find this solution without using
calculus? I don't want an approximation, which you can do graphically or
numerically. Nor do I think a Taylor expansion around x=1/3 is really fair.
I'm seeking a geometric solution. Rearrange the equation into a parabola or
some such