Final Answer
$x<\sqrt{3}i+1$
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Step-by-step Solution
Problem to solve:
${x^2-2x+6}<{2}$
Specify the solving method
1
Moving the term $6$ to the other side of the inequation with opposite sign
$x^2-2x<-4$
Learn how to solve inequalities problems step by step online.
$x^2-2x<-4$
Learn how to solve inequalities problems step by step online. Solve the inequality x^2-2x+6<2. Moving the term 6 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
$x<\sqrt{3}i+1$