Chapter 4 Quadratic Functions and Factoring - 4.8 Use the Quadratic Formula and the Discriminant - 4.8 Exercises - Skill Practice - Page 296: 23

2, 3

Solving the equation using the quadratic formula, we find: $$x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\cdot \:6}}{2\cdot \:1} \\ x=3,\:x=2$$ Checking by factoring the expression, we find: $$x\left(x-2\right)-3\left(x-2\right) \\ \left(x-2\right)\left(x-3\right)$$