Question

if alpha and beta are the roots of quadratic equations 3xsquare +kx+8=0 and alpha/beta=2/3then find the value of k​

Answer 1

Step-by-step explanation:

Given,

alpha/beta = 2/3.

so, alpha= 2/3 beta.

Now,

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

and, alpha× beta = 8/3(c/a)

Put the value of alpha in equation 2.

you will get the value of beta.

then you will get the value of alpha.

I hope this helps