Question

if alpha and beta are zeroes of polynomial 5x²-7x+2, then sum of their reciprocal is ?​

Answer 1

Step-by-step explanation:

Factor

Factor 5x2−7x+2

5x2−7x+2

=(5x−2)(x−1)

Answer:

(5x−2)(x−1)

Answer 2

Answer:

7/2

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