If alpha and beta are the roots of quadratic equation x^2-x-90=0.Find the value of 1/alpha+1/beta.
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compare given equation with ax²+bx+c =0
a=1, b=-1, c= -90
let the roots are α and β
sum of the roots =α+β = - b/a = - (-1)/1 = 1
product of the roots = αβ= c/a =-90/1 =-90
1/α +1/β = (α+β)/αβ
= 1/-90
=-1/90
a=1, b=-1, c= -90
let the roots are α and β
sum of the roots =α+β = - b/a = - (-1)/1 = 1
product of the roots = αβ= c/a =-90/1 =-90
1/α +1/β = (α+β)/αβ
= 1/-90
=-1/90
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