#1236 · Algebra · Quadratics

Ratio of roots identity

If the roots of $l x^{2} + n x + n = 0$ are in the ratio of $p : q$ , prove that $\frac{p}{q} + \frac{q}{p} + \frac{n}{l} = 0$ .

~10 minProof · checked by AIQuadratic equationsRoots and coefficients

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. IX. The Theory of Quadratic Equations, Examples IX.b, No. 7

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