#1524 · Algebra · Quadratics

Symmetric functions of roots (Part 2)

If $α, β$ are roots of the equation $x^{2} - p x + q = 0$ , find the value of $(α - p)^{- 4} + (β - p)^{- 4}$ .

~10 minAnswer checked instantlysymmetric functions of rootsVieta's formulas

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. IX. The Theory of Quadratic Equations, Examples IX.b, No. 6 (part 2)

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