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
Apr 10, 2017

The discriminant of an equation of the form, y = ax^2+bx+c, is:

d = b^2-4(a)(c) If d{(=0", one real root"),( > 0", two real roots"),(<0", two imaginary roots"):}

Explanation:

Given: x^2-2x+1=0

a = 1, b = -2, and c = 1

d = b^2-4(a)(c)

d = (-2)^2-4(1)(1)

d = 0, then one real root