Chapter 9 - Quadratic Functions and Equations - 9-6 The Quadratic Formula and the Discriminant - Practice and Problem-Solving Exercises - Page 587: 19

$$x=1.34105201842506,-0.46605201842506$$

$$ \text{The quadratic formula is given by:}$$ $$ x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$$ $$ \text{Plugging in the given values:}$$ $$a=8, b=-7, c=-5$$ $$ x = \frac{--7 \pm \sqrt{-7^2-4(8)(-5)}}{2(8)}$$ $$\text{Reducing within the radical gives: } $$ $$ x = \frac{--7 \pm \sqrt{209}}{(2)8}$$ $$ \text {This gives: } $$ $$x=1.34105201842506,-0.46605201842506$$