1.

If a and ß are the roots of the quadratic equation 3x²+Kx+8=0 and alpha beta =. ⅔ then find the value of K.​

Answer»

Answer:

ALPHA*beta = -b/a...(1)

but, alpha*beta= 2/3...........(2)(GIVEN)

-b/a= 2/3......(3).(from (1) and (2))

the eq is 3x2 +kx +8=0

comparing with general formula ax2+bx+c=0

a=3, b=k, c=8

-k/3=2/3.....(from (3))

-3k = 6

k=6/-3

k=-6/3

k= -2

the VALUE of k is -2

hope it helps you



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