Chapter 4 Quadratic Functions and Factoring - 4.8 Use the Quadratic Formula and the Discriminant - 4.8 Exercises - Skill Practice - Page 296: 15

$$x=-1.5\pm .5\sqrt{47}i$$

We first check that the function is in the form $ax^2+bx+c$. Then, using the quadratic formula, we obtain: $$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$ $$x=\frac{-14\pm \sqrt{(14)^2-4(1)(3)}}{2(1)}$$ $$x=-1.5\pm .5\sqrt{47}i$$