Question

if a(alpha) and B(beta) are the roots of the quadratic equation 3x^2 + kx + 8 = 0 and
a/B=2/3
, then
find the value of k.​

Answer 1

Answer:

answer will be -10

Step-by-step explanation:

first put the value of x as 2 given(a, b) =(x, y) then x=a and y=b

and then solve as we solve by basic maths

Answer 2

Answer:

alpha + beta = -k/3-------------eq1

alpha × beta = 8/3--------------eq2

alpha/beta = 2/3----------------eq3

using eq3

alpha = 2beta/3------------eq4

put value of eq4 in eq3

2beta/3 × beta = 8/3

beta²=4

beta=2

hence alpha=4/3

put value of alpha and beta in eq1

4/3+2=-k/3

10/2=-k/3

k= -15