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

Question

Find the roots of each of the following equations, if they exist, by applying the quadratic formula: x 2 – (√3 + 1) x + √3 = 0

Philoid · Accepted Answer

Given:

Comparing with standard quadratic equation ax² + bx + c = 0

Discriminant D = b² – 4ac

Using a² – 2ab + b² = (a – b)²

Thus the roots of given equation are real.

Roots are given by

Hence the roots of equation are