Question

if alpha and beta are the zeros of the quadratic polynomial PX equal to 5 x square - 7 x + 1 find first one upon alpha plus one upon beta​

Answer 1

This is the answer for the given question

Answer 2

Step-by-step explanation:

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