Math, asked by nitish3544, 1 year ago

if alpha and beta are zeros of the polynomial f x is equal to 5 x square - 7 x + 1 find the value of one by Alpha Plus One by beta​

Answers

Answered by Steph0303
38

Answer:

7

Step-by-step explanation:

Given that, f(x) = 5x² - 7x + 1

⇒ Sum of roots = α + β = ( -b / a )

⇒ Product of roots = αβ = ( c / a )

Now we are required to find the value of [ 1 / α + 1 / β ]

\implies \dfrac{1}\alpha} + \dfrac{1}{\beta} = ?\\\\\implies \dfrac{ \alpha + \beta}{ \alpha \times \beta}

This is obtained after taking LCM.

Now we know that,  α + β = ( -b / a ), which is  - ( -7 ) / 5 = 7/5

Also, αβ = ( c / a ), which is 1/5

Now substituting in the equation we get,

\implies \dfrac{ \dfrac{7}{5} }{ \dfrac{1}{5} } = \dfrac{7}{1} = 7

Hence the value is 7.

Answered by Anonymous
60

\dfrac{1}{\alpha} + \dfrac{1}{\beta} = 7

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