Question

if alpha and beta are the roots of the equation 5 x square - 7 x + 1 is equal to zero then this value of one by Alpha and + 1 by beta is​

Answer 1

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if alpha and beta are the roots of the equation 5 x square - 7 x + 1 is equal to zero then this value of one by Alpha and + 1 by beta is

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Given:

Equation :

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

To Find:

$\frac{1}{ \alpha } + \frac{1}{ \beta }$

$= \frac{ \beta + \alpha }{ \alpha \beta }$

Solution:

In equation, a = 5

b = -7

c = 1

We know that

$\alpha + \beta = \frac{ - b}{a} = 7$

$\alpha \beta = \frac{c}{a} = \frac{1}{5}$

So,

$\frac{ \beta + \alpha }{ \alpha \beta }$

$= \frac{7}{ \frac{1}{5} }$

$= 35$

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