Question

If α and β are the zeroes of the polynomial x2 + 6x + 2 then ( 1 / + 1 / ) is

a)3 b)-3 c)12 d)-12​

Answer 1

Step-by-step explanation:

${x}^{2} + 6x + 2 \\ \alpha + \beta = - 6 \\ \alpha \beta = 2 \\ \\ \frac{1}{ \alpha } + \frac{1}{ \beta } = \frac{ \alpha + \beta }{ \alpha \beta } \\ = \frac{ - 6}{2} \\ = - 3$

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