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Relationship Between Zeroes and Coefficients of a Quadratic Polynomial

If α ,β are...

Question

If $α, β$ are zeroes of the polynomial $2 x^{2} + 4 x + 1$ , then find the value of $\frac{α + β}{α β}$ .

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Solution

$α + β = - 2 α β = 1 / 2 S o, \frac{α + β}{α β} = \frac{- 2}{1 / 2} = - 4$

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