Chapter 9 - Quadratic Functions and Equations - 9-6 The Quadratic Formula and the Discriminant - Practice and Problem-Solving Exercises - Page 587: 18

$$x=5.87082869338697,2.12917130661303$$

$$ \text{The quadratic formula is given by:}$$ $$ x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$$ $$ \text{Plugging in the given values:}$$ $$a=2, b=-16, c=25$$ $$ x = \frac{--16 \pm \sqrt{-16^2-4(2)(25)}}{2(2)}$$ $$\text{Reducing within the radical gives: } $$ $$ x = \frac{--16 \pm \sqrt{56}}{(2)2}$$ $$ \text {This gives: } $$ $$x=5.87082869338697,2.12917130661303$$