Final Answer
Step-by-step Solution
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Factor the polynomial $x^2-x$. Add and subtract $\left(\frac{b}{2}\right)^2$, replacing $b$ by it's value $-1$
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$x^2-x+\frac{1}{4}-\frac{1}{4}<6$
Learn how to solve inequalities problems step by step online. Solve the inequality x^2-x<6. 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. Calculate the square root of \frac{1}{4}. Multiply -1 times \frac{1}{2}.