#1218 · Algebra · Quadratics

Roots equal in magnitude and opposite in sign

For what value of $m$ will the equation $\frac{x ^{2} - b x}{a x - c} = \frac{m - 1}{m + 1}$ have roots equal in magnitude but opposite in sign?

~12 minAnswer checked instantlyroots of quadraticssum of roots

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. IX. The Theory of Quadratic Equations, Examples IX.a, No. 16

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