Chapter 4 Quadratic Functions and Factoring - 4.8 Use the Quadratic Formula and the Discriminant - 4.8 Exercises - Skill Practice - Page 296: 18

$$x=-\frac{5}{12}\pm\frac{\sqrt{85}}{12}$$

We first check that the function is in the form $ax^2+bx+c$. Then, using the quadratic formula, we obtain: $$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$ $$x=\frac{10\pm \sqrt{(10)^2-4(12)(-5)}}{2(12)}$$ $$x=-\frac{5}{12}\pm\frac{\sqrt{85}}{12}$$