Solve: √3x^{2} + 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