#1291 · Algebra · Quadratics

Equation with radical differences

Solve the equation $\frac{x + x ^{2} - 1}{x - x ^{2} - 1} - \frac{x - x ^{2} - 1}{x + x ^{2} - 1} = 8 x x^{2} - 3 x + 2$ .

~15 minAnswer checked instantlyrationalizationradical equations

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.a, No. 41

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