# How do you find the discriminant of #x^2-2x+1=0# and use it to determine if the equation has one, two real or two imaginary roots?

##### 1 Answer

May 13, 2017

#### Explanation:

Consider the general form of the quadratic equation:

The discriminant

Three cases arise:

(i)

(ii)

(iii)

In our equation:

Hence the equation has one real solution.

The equation may be factorised as:

Hence the only real solution is