Answer
Discriminant = 0; 1 real and rational solution
Work Step by Step
$x^2-2x+1=0$
Plug the coefficients into the discriminant of the quadratic formula.
$a=1, b=-2, c=1$
$\sqrt {b^2-4ac}$
$\sqrt {(-2)^2-4(1)(1)}$
$\sqrt {4-4}$
$\sqrt {0}$
Since the discriminant is equal to $0$, the equation has one real and rational solution.
