Question

If Alpha and Bita
are the roots of the quadratic equation 3x×x+kx+8=0
find the value of k.​

Answer 1

Answer:

3x2+kx+8=0

Step-by-step explanation:

b^3-4ac>=0

Answer 2

Answer:

α/β = 2/3 --> ( i )

[ We use the "Co-efficient - Zeroes relation / also known as Viete's Relation ] --> 

--> α * β = 8/3 --> ( ii )

--> Multiplying ( i ) with ( ii ) --> 

 ---> α² = 16 / 9

  => α = ± ( 4/3 )

Correspondingly, β = ± 2

Further, we have the relation, α + β = -k / 3

         => ± [ 4/3 + 2 ] = -k / 3

         => ± [ 10 / 3 ] = - k / 3

         => k = - 10 or +10 

However, since, k > 0, k = 10 for α = -4/3 || β = -2 is considered the reqd.