Question

) If a and ß are the roots of the quadratic equation 3x2 + kx + 8 = 0 and
|M
810
then
find the value of k.

Answer 1

Answer:

α/β = 2/3 --> ( i )

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. value.

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Step-by-step explanation: