Let a quadratic equation be represented as
A(3−2)x2+(3+2)Bx+C=0,
where A=(49+206)1/4 and B=83+386+316+.....
Let α and β be the roots of the above equation which are related to the constraint (∣α−β∣=(66)k,
where k=log610−2log65+log6log618+log672.
Find the value of C.