How do I solve this equation? I repaired f[x_] := a/x^2 - x + 2; and I get NSolve::nsmet: This system cannot be solved with the methods available to NSolve.
How to solve this equation with positive integers as a solutions? Thank you very much. Without loss of generality, we may assume $x \geqslant y \geqslant z$. And I tried
Reduce[(1 + 1/x)*(1 + 1/y)*(1 + 1/z) == 2 && x > 0 && y > 0 && z > 0 &&
x >= y && y >= z, {x, y, z}, Integers]
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