#1521 · Algebra · Quadratics

Symmetric function of roots part 1

If $x_{1}$ , $x_{2}$ are the roots of $a x^{2} + b x + c = 0$ , find the value of $(a x_{1} + b)^{- 2} + (a x_{2} + b)^{- 2}$ .

~8 minAnswer checked instantlyroots of a quadraticVieta's formulassymmetric functions

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. IX. The Theory of Quadratic Equations, Examples IX.a, No. 26 (part 1)

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