if alpha and beta are zeros of polynomial p(x)=X square + X - 1 then find value of 1/Alpha and 1/ beta
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if alpha and beta are zeros of polynomial p(x)=X square + X - 1 then find value of 1/Alpha and 1/ beta
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Answer:
Hi there !!
p(x) = x² + x - 1
a = 1
b = 1
c = -1
α and β are zeros of p(x)
α + β = -1 [α + β = -b/a ]
αβ = -1 [αβ = c/a ]
To find :-
1/α + 1/β
1/α + 1/β = α + β / αβ
= -1/-1
= 1
1/α + 1/β = 1