030. if \alpha,\beta are the zeros of polynomial x^2+6x+2,then(1/\alpha+1/\beta)=?
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the have given that α and β are the zeroes of the equation x² + 6x + 2
α + β = -b/a = -6 /1 = -6
αβ = c/a = 2 /1 = 2
1/α + 1/β = α+β /αβ
so substituting the values we get
= -6/2
= -3
so 1/α +1/β = -3
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