Chapter 4 Quadratic Functions and Factoring - 4.8 Use the Quadratic Formula and the Discriminant - 4.8 Exercises - Skill Practice - Page 296: 21

$$n=\frac{5\pm\sqrt{31}}{3}$$

We first check that the function is in the form $ax^2+bx+c$. Then, using the quadratic formula, we obtain: $$n=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$ $$n=\frac{10\pm \sqrt{(-10)^2-4(3)(-2)}}{2(3)}$$ $$n=\frac{5\pm\sqrt{31}}{3}$$