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Symmetrical equation



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...or more in general...

Let y=f(x)

Solve f(x)x=xf(x) for x. There are unlimited number of y=f(x) for which a real solution exists for f(x)x=xf(x) 

For example, let y=2x. Solving (2x)x=x2x results in x=2. Therefore, y=2x=4. 2^4=4^2.

Another example is what CaptainEd found above


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