Final Answer
$x\geq 2i+1$
Got another answer? Verify it here!
Step-by-step Solution
Problem to solve:
$x^2-2x+5\geq 0$
Specify the solving method
1
Moving the term $5$ to the other side of the inequation with opposite sign
$x^2-2x\geq -5$
2
Factor the polynomial $x^2-2x$. Add and subtract $\left(\frac{b}{2}\right)^2$, replacing $b$ by it's value $-2$
$x^2-2x+1-1\geq -5$
Learn how to solve inequalities problems step by step online.
$x^2-2x\geq -5$
Learn how to solve inequalities problems step by step online. Solve the inequality x^2-2x+5>=0. Moving the term 5 to the other side of the inequation with opposite sign. Factor the polynomial x^2-2x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -2. Now, we can factor x^2+-2x+1 as a squared binomial of the form \left(x+\frac{b}{2}\right)^2. Moving the term -1 to the other side of the inequation with opposite sign.
Final Answer
$x\geq 2i+1$