Find the roots of each of the following equations, if they exist, by applying the quadratic formula:

x^{2} – (√3 + 1) x + √3 = 0

Given:

Comparing with standard quadratic equation ax^{2} + bx + c = 0

Discriminant D = b^{2} – 4ac

Using a^{2} – 2ab + b^{2} = (a – b)^{2}

Thus the roots of given equation are real.

Roots are given by

Hence the roots of equation are

18