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The trinomial $x^2-2x+1$ is a perfect square trinomial, because it's discriminant is equal to zero
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$\Delta=b^2-4ac=-2^2-4\left(1\right)\left(1\right) = 0$
Learn how to solve problems step by step online. Solve the inequality (x^2-2x+1)/(x-1)>=0. The trinomial x^2-2x+1 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. Simplify the fraction \frac{\left(x-1\right)^{2}}{x-1} by x-1.