If a and B are the zeros of the polynomial f(x) = x^2 + x - 2, find the value of (1/alpha-1/beeta)
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Answer:
polynomial f(x) = x^2 + x - 2,
Step-by-step explanation:
- alpha and beta are the zeroes of x^2 + x - 2.
- x^2 + x - 2 = 0
- (X+2) (x- 1) =0
- so x = -2 and x= 1
- alpha is-2 and beta is 1
- Therefore, 1/ alpha - 1/ beta= 1/-2 - 1/1
- -3/2
the answer is-3/2
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