Solve: √3x2 + 10x – 8√3 = 0.
Using splitting middle term, the middle term of the general equation 
is divided in two such values that:
Product = a.c
For the given equation 
using
= 
And either of their sum or difference = b
= 
Thus the two terms are 
Difference = 
Product = 
√3 x(x + 4√3 )-2(x + 4√3) = 0
(√3 x-2)(x + 4√3) = 0
Hence roots of equation are 
49