If - and - are the zeros of 5x2-3x-1 then- find 1-1-

Here, α +β =35 , αβ =15 ⇒1α+1β=α +βαβ=3515=3 . ...

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Zeroes of a Polynomial

If α and ...

Question

If $α$ and $β$ are the zeros of $5 x^{2} - 3 x + 1$ then, find $\frac{1}{α} + \frac{1}{β}$ .

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If $α$ and $β$ are the zeros of the polynomial $f (x) = 5 x^{2} - 7 x + 1$ , find the value of $(\frac{1}{α} + \frac{1}{β}) .$ .

α

β

x^{2} - 3 x - 2

1) \frac{1}{2} α + β

\frac{1}{2} β + α

2) α - \frac{1}{α} + 1

β - \frac{1}{β} + 1

α

β

{5 x}^{2} - 7 x + 1 = 0

\frac{1}{α} + \frac{1}{β}

α

β

5 x^{2} - p x + 1 = 0

α - β = 1

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