Question

IU
7. If a and B are the zeros of the polynomial 5x2 - 7x-2, find the sum of the
reciprocals of the zeros.
8. if a, ß are the zeros of the polynomial 3x2 + 5x + k such that q*+p+aß
then find the value of k.
1. find a​

Answer 1

Answer:

7) 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

Step-by-step explanation:

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