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

If α , β are the zeros of the polynomial 5x^2 – 7x + 2, then the s

1.	If α , β are the zeros of the polynomial 5x^2 – 7x + 2, then the sum of their reciprocal is ;
Answer» 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 = 7/5α β = c/a = 2/5so, (α + β)/ α β = (7/5) / (2/5)= 7/2So, 1/α + 1/β = (α + β)/ α β = 7/2Hence, 1/α + 1/β = 7/2