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
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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
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