Sum of radicals equation

Solve the equation $x^{2} + x + \frac{x - 1}{x ^{3} - x} = \frac{5}{2}$ .

~12 minAnswer checked instantlyradical equationssimplification

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.a, No. 42

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).