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MATH / Let the roots of the polynomial x²+7x−2 be α and β. Evaluate α²+β².

Problem

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problem

Let the roots of the polynomial x2+7x−2x^2 + 7x - 2 be α\alpha and β.\beta. Evaluate α2+β2.\alpha^2 + \beta^2.
Plain-text mathematical notation (without MathML)
Let the roots of the polynomial x²+7x−2 be α and β. Evaluate α²+β².
Original LaTeX notation
Let the roots of the polynomial $x^2 + 7x - 2$ be $\alpha$ and $\beta.$ Evaluate $\alpha^2 + \beta^2.$

level

Level 4

type

Algebra

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Source and history

Official source

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