Question

If α & β are the zeroes of the polynomial
p(x) = 4 x² + 3x + 7 then 1/α + 1/β
​

Answer 1

Answer:

-3/7

Step-by-step explanation:

Polynomials written in form of ax² + bx + c represent -b/a as sum of their roots and c/a as product of roots.

Here,

sum = S = α + β = -(3/4) = -3/4

product=P = α*β = 7/4

Hence,

=> 1/α + 1/β

=> (α + β)/αβ

=> S/P

=> (-3/4)/(7/4)

=> - 3/7