# Alphabet Roots

**Calculus**Level 3

If \(\alpha\) and \(\beta\) are roots of the equation \(x^{2}-px+q=0\) then

\((\alpha+\beta)x-\frac{1}{2}(\alpha^{2}+\beta^{2})x^{2}+\frac{1}{3}(\alpha^{3}+\beta^{3})x^{3}- \ldots \) is equal to?

If \(\alpha\) and \(\beta\) are roots of the equation \(x^{2}-px+q=0\) then

\((\alpha+\beta)x-\frac{1}{2}(\alpha^{2}+\beta^{2})x^{2}+\frac{1}{3}(\alpha^{3}+\beta^{3})x^{3}- \ldots \) is equal to?

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