Use a graphing utility to find or approximate solutions to the equation. If necessary, round your answers to three decimal
places.
-$$x ^ { 2 } - 6 x - 57 = 0$$
A) $5.124 , - 11.124$
B) $11.124 , - 5.124$
C) $31.605 , - 25.605$
D) $25.605 , - 31.605$

Question

Quizplus · Accepted Answer

The equation $x^2 - 6x - 57 = 0$ can be solved using the quadratic formula, $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, where $a = 1$, $b = -6$, and $c = -57$. Plugging these values in gives $x = \frac{6 \pm \sqrt{(-6)^2 - 4(1)(-57)}}{2(1)} = \frac{6 \pm \sqrt{36 + 228}}{2} = \frac{6 \pm \sqrt{264}}{2} = \frac{6 \pm 16.248}$, which simplifies to $x = 11.124$ or $x = -5.124$.

Use a Graphing Utility to Find or Approximate Solutions to the Equation