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
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Answered by
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 ]
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,
Hence the value is 7.
Answered by
60
+ = 7
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