Step-by-step Solution

Solve the inequality $\frac{x^2-2x+1}{x-1}\geq 0$

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Step-by-step explanation

Problem to solve:

${\frac{x^2-2x+1}{x-1}}\geq {0}$

Learn how to solve inequalities problems step by step online.

$\Delta=b^2-4ac=-2^2-4\left(1\right)\left(1\right) = 0$

Unlock this full step-by-step solution!

Learn how to solve inequalities 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 by x-1.

Final Answer

$x\geq 1$

Problem Analysis

${\frac{x^2-2x+1}{x-1}}\geq {0}$

Main topic:

Inequalities

Time to solve it:

~ 0.03 seconds