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: 2x 2 – 2√2x + 1 = 0

Philoid · Accepted Answer

Given:

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

Discriminant D = b² – 4ac

=

= 8 – 8 = 0

Hence the roots of equation are real.

Roots are given by

Hence these are the repeated roots of the equation