Final Answer
$x<4$
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Step-by-step Solution
Problem to solve:
$x^2-12<x$
Specify the solving method
1
Moving the term $-12$ to the other side of the inequation with opposite sign
$x^2<x+12$
Learn how to solve inequalities problems step by step online.
$x^2<x+12$
Learn how to solve inequalities problems step by step online. Solve the inequality x^2-12<x. Moving the term -12 to the other side of the inequation with opposite sign. Grouping terms. Factor the polynomial x^2-x. Add and subtract \left(\frac{b}{2}\right)^2, replacing b by it's value -1. Now, we can factor x^2+-1x+\frac{1}{4} as a squared binomial of the form \left(x+\frac{b}{2}\right)^2.
Final Answer
$x<4$