Question

if alpha and beta are the roots of the Quadratic quation 3Xsquare + Kx + 8 =0 and alpha upon beta = 2 upon 3 then find the value of K​

Answer 1

Answer:

K=-8

Step-by-step explanation:

3x^2 + kx +8=0

1. (Given: alpha/ beta = 2/3

, alpha = 2/3 x beta)----------(1)

alpha+beta = -b/a = -k/3

from 1,

2/3 x beta + beta = -k/3

k=-4 beta--------(2)

2. alpha x beta = c/a = 8/3

, 2/3x beta x beta = 8/3

Beta= 2------(3)

3. from (2) and (3)

, k= -8

Answer 2

Answer:

Step-by-step explanation: