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Question

If α and β are zero 's of x2​​​​​+7x+7find value of 1/α+1/β-2αβ

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Solution

∵α & β are roots of the given polynomial.
∴We get,
α+β= -b/a = -7.
αβ = c/a = 7.

1/α + 1/β - 2αβ
= (α+β) /αβ - 2αβ
= -7/7 -2*7
= -15.(Ans)

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