Question

• Class - 10 •

If α and β are the zeros of the quadratic polynomial f(x) = x² + x - 2, find the value of 1/α - 1/β

Answer 1

Answer:

Sum of zeros = -b/a = -1

Product of Zeros = c/a = -2

1/alpha - 1/beta

( alpha + beta/alpha×beta) [ by taking LCM]

-1/-2 ( putting above value)

1/2

Answer 2

the zeroes are 1 and -2 which are alpha and beta respectively.

Hence put these values to find 1/alpha - 1/beta

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