Chapter 9 - Quadratic Functions and Equations - 9-6 The Quadratic Formula and the Discriminant - Practice and Problem-Solving Exercises - Page 587: 40

$\pm3$

$$ \text{The quadratic formula is given by:}$$ $$ x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$$ $$ \text{Plugging in the given values:}$$ $$a=13, b=0, c=-117$$ $$ x = \frac{-0 \pm \sqrt{0^2-4(13)(-117)}}{2(13)}$$ $$\text{Reducing within the radical gives: } $$ $$ x = \frac{-0 \pm \sqrt{6084}}{(2)13}$$ $$ \text {This gives: } $$ $$x=3,-3$$