MathDB
Root Transformation

Source:

March 17, 2008
algebrapolynomialVieta

Problem Statement

The equation x^3 \minus{} 9x^2 \plus{} 8x \plus{} 2 \equal{} 0 has three real roots p p, q q, r r. Find \frac {1}{p^2} \plus{} \frac {1}{q^2} \plus{} \frac {1}{r^2}.
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