Question

If Alfa and bita are the roots 9f quadratic equation 3x square+Kx+8=0 and Alfa upon bita = 2/3,then find the value of k

Answer 1

alp / bet. = 2/ 3

3alp. = 2bet.

alp. = 2/3 bet.

alp. * bet. = c/a

2*bet. * bet / 3 = 8 /3

2beta. ^2 = 8

Beta^2 = 4 so, beta = 2

And alpha = 4/ 3

Alpha + beta = - b/a

4/3 +2 = -k /3

10/3 = -k/3

K = -10

I haven't shown root 4 as - 2 .