Not many solutions? Part 1

Algebra Level 2

Let the functions \(f(x)\) and \(g(x)\) be \(f(x)= x^{3}-2x^{2}+x-2\) and \(g(x)= x^{2}+1\)

Find the sum of all real solutions to the equation

\(\frac{f(x)}{g(x)}=1\).


Part 2.

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