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Quadratic Formula

If α ,β are...

Question

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

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Solution

From the given equation we have $α + β = - 1$ and $α β = 1$ .
$\frac{1}{α} + \frac{1}{β} = \frac{α + β}{α β} = \frac{- 1}{1} = - 1$

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