AMC / AIME · Vieta's Formulas · Hard

Vieta's Formulas: For math, sum of squares of all real roots.

Roots and coefficients.

Try the problem

For x4−5x2+4=0x^4-5x^2+4=0, sum of squares of all real roots.

Hint and answer

Concept to use

Cubics.

Hint

Roots ±1,±2\pm1,\pm2.

Answer

10

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