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Given alpha =3(beta+gamma)
alpha +beta +gamma = -b/a=12
4(beta+gamma)=12
beta +gamma= 3
So alpha =12-beta-gamma
alpha= 12-3=9
alpha×beta +beta×gamma +gamma×alpha =c/a =k
This can be written as
alpha(beta+gamma) + beta×gamma =k
9×3 + beta×gamma= k
27 +beta×gamma = k
alpha × beta×gamma =-d/a =18
9×beta×gamma=18
beta ×gamma =2
we know
27 +beta ×gamma =k
So
27+2 =29
K=29
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