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

Question

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

Monjur Alahi

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2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

I think answer is 3/2

as (α-β)^2=(α+β)^2-4αβ

α-β=3 => β-α=-3

α.β=-2

1/α-1/β= 3/2

4 views Answered 2023-02-05 15:29