6. If alpha and Beta are the zeroes of the polynomial f(x) = x ^ 2 - x -4. Find the value of 1/alpha + 1/beta - alpha*beta
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Answer:
polynomial f(x) = x ^ 2 - x -4 then
α + β = -(-b/a)
= -(-1/1)
= 1
αβ = c/a
= -4/1
= -4
1/α + 1/β -αβ
α + β/αβ - αβ
1/-4 -4
-1/4 -4
-1/4 - 4x4/1x4
-1-16/4
-17/5
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