#1300 · Algebra · Linear equations

Reciprocal Fractions Equation

Solve the following equation for $x$ : $\frac{x + x ^{2} - 1}{x - x ^{2} - 1} + \frac{x - x ^{2} - 1}{x + x ^{2} - 1} = 98$ .

~15 minAnswer checked instantlyReciprocal substitutionAlgebraic simplification

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.a, No. 50

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