Question

if alpha,beta are zeros of the polynomial 4x^2+3x+7.find [1/alpha]+[1/beta]

Answer 1

Answer:

Alpha+beta= - b/a= - 4/3

Alpha * beta = c/a =7/4

1/alpha +1/beta = alpha +beta /alpha * beta = 4/3*4/7= - 16/21

Answer 2

Heya!!

For a quadratic equations say

ax² + bx + c = 0

Alfa + Beta = -b/a

And

Alfa × Beta = c/a

_______________________________

here a = 4 , b = 3 And c = 7

Alfa + Beta = -3/4

And

Alfa × Beta = 7/4

=>

1/Alfa + 1/Beta =

{ Alfa + Beta }/ ( Alfa × Beta )

=>

1/Alfa + 1 / Beta = -16/21