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If α , β are the zeros of the polynomial 5x^2 – 7x + 2, then the sum of their reciprocal is ;

Posted by Palak Chhetri 5 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 6 months ago

We have 2 find (1/α + 1/β)

now 1/α + 1/β = (α + β)/ α β (taking LCM)

now by the given poly. we get

(α + β) = -b/a = 7/5

α β = c/a = 2/5

so, (α + β)/ α β = (7/5) / (2/5)

= 7/2

So, 1/α + 1/β = (α + β)/ α β = 7/2

Hence, 1/α + 1/β = 7/2

1Thank You

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