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Questions on the analytic and numerical equation solving functions of Mathematica (Solve, Reduce, NSolve, FindRoot, DSolve, RSolve, etc.).
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Why would Solve fail to give a valid inverse?
I have the following function:
$y = \frac{8+10x^2+x^4+6x\sqrt{6+x^2}+x^3\sqrt{6+x^2}}{8+x^2}$
Using the following Mathematica command to find the inverse,
Solve[y == (8 + 10 x^2 + x^4 + 6 x Sqrt[6 …