Solve each of the following quadratic equations:

x^{2} + 3√3x – 30 = 0

Using the splitting middle term - the middle term of the general equation is divided in two such values that:

Product = a.c

For the given equation a = 1; b = 3√3 ;c = -30

= 1. - 30 = - 30

And either of their sum or difference = b

= 3√3

Thus, the two terms are

Difference =

Product =

Hence the roots of equation are

30