Chapter 9 - Quadratic Functions and Equations - 9-6 The Quadratic Formula and the Discriminant - Practice and Problem-Solving Exercises - Page 587: 16

$$x=-1.76393202250021,-6.23606797749979$$

$$ \text{The quadratic formula is given by:}$$ $$ x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$$ $$ \text{Plugging in the given values:}$$ $$a=1, b=8, c=11$$ $$ x = \frac{-8 \pm \sqrt{8^2-4(1)(11)}}{2(1)}$$ $$\text{Reducing within the radical gives: } $$ $$ x = \frac{-8 \pm \sqrt{20}}{(2)1}$$ $$ \text {This gives: } $$ $$x=-1.76393202250021,-6.23606797749979$$