Question

plz find its answer fastly​

Answer 1

Given:

p(x) = 2x² - x + 5 .

$\alpha \: and \: \beta \: are \: the \ \: \: zeroes$

To find :

${ \alpha }^{ - 1} + { \beta }^{ - 1} = \frac{1}{ \alpha } + \frac{1}{ \beta }$

Solution :

p(x) = 2x² - x + 5

Here a= 2 , b = -1 and c = 5

$\star \: \alpha + \beta = \frac{ - b}{a} = \frac{ - ( - 1)}{2} = \frac{1}{2 } \\ \\ \star \: \alpha \beta = \frac{c}{a} = \frac{5}{2}$

Now ,

$\star \: \frac{1}{ \alpha } + \frac{1}{ \beta } = \frac{ \alpha + \beta }{ \alpha \beta } \\ \\ \implies \: \frac{ \frac{1}{2} }{ \frac{5}{2} } = \frac{1}{5}$

Hence , the value is 1/5.