if alpha beta are the zeros of the polynomial x square minus x minus 4 then the value of alpha + beta + alpha beta equal to
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Answered by
5
Answer:
α+β= -1
αβ=4
then (α+β)+αβ= -1+4
=3 answer
Answered by
8
α + β + 1/α + 1/β = 3/4 if α & β are zeroes of x² - x - 4
Step-by-step explanation:
Correct Question is
if α & β are zeroes of x² - x - 4
Then value of α + β + 1/α + 1/β = ?
α & β are zeroes of x² - x - 4
α + β = 1
αβ = -4
1/α + 1/β
= (β + α)/αβ
= 1/(-4)
= -1/4
1/α + 1/β = -1/4
α + β + 1/α + 1/β
= 1 - 1/4
= 3/4
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