If and are zeroes of the polynomial , the value of is

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Solution

Q.
If $α$ and $β$ are zeroes of the polynomial $5 x^{2} + 3 x - 7$ , the value of $\frac{1}{α} + \frac{1}{β}$ is

1 −3/7

2 3/5

3 3/7

4 −5/7

Ans.
(3)

$α + β = \frac{- b}{a} = \frac{- 3}{5}, α β = \frac{c}{a} = \frac{- 7}{5}$

Now, $\frac{1}{α} + \frac{1}{β} = \frac{α + β}{α β} = \frac{\frac{- 3}{5}}{\frac{- 7}{5}} = \frac{3}{7}$

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