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AMC / AIME · Vieta's Formulas · Medium

Vieta's Formulas: For math, find the sum of squares of the roots.

Roots and coefficients.

Try the problem

For x2−2x−5=0x^2-2x-5=0, find the sum of squares of the roots.

Hint and answer

Concept to use

Symmetric transforms.

Hint

(r+s)2−2rs=4+10(r+s)^2-2rs=4+10.

Answer

14

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