If x2- x-0 and x2-px-q-0 have a common root- then the common root is

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Relation between Roots and Coefficients for Quadratic

If x2+α x+β...

Question

If $x^{2} + α x + β = 0$ and $x^{2} + p x + q = 0$ have a common root, then the common root is

\frac{q + β}{α + p}

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\frac{q - β}{α + p}

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\frac{q - β}{α - p}

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- \frac{q + β}{α + p}

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If a root of the equations $x^{2} + p x + q = 0$ and $x^{2} + α x + β = 0$ is common, then its value will be ( where p ≠ α and q ≠ β )

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