Multiple choice

The given quadratic equations have real roots and the roots are equal and it is $1$: $x^2$ - 2x + 1 = 0

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The equation x^2 - 2x + 1 = 0 factors as (x - 1)^2 = 0. Therefore, both roots are real, equal, and each is 1.

AI explanation

Using the discriminant method for x^2 - 2x + 1 = 0, the discriminant is calculated as b^2 - 4ac = (-2)^2 - 4(1)(1) = 4 - 4 = 0. A zero discriminant indicates that the roots are real and equal. Factoring the equation yields (x - 1)^2 = 0, which means the equal root is exactly 1.

Keep practicing — related questions