Use the quadratic formula to solve the equation.
-$$x ( x - 6 ) = 8$$
A) $\{ 3 - \sqrt { 17 } , 3 + \sqrt { 17 } \}$
B) $\{ - 3 + 1 , - 3 - 1 \}$
C) $\{ 3 - 1,3 + 1 \}$
D) $\{ - 3 + \sqrt { 17 } , - 3 - \sqrt { 17 } \}$

Question

Quizplus · Accepted Answer

First, rewrite the equation in standard form: $x^2 - 6x - 8 = 0$. Using the quadratic formula, $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, with $a = 1$, $b = -6$, and $c = -8$, we find $x = \frac{6 \pm \sqrt{(-6)^2 - 4(1)(-8)}}{2(1)} = \frac{6 \pm \sqrt{36 + 32}}{2} = \frac{6 \pm \sqrt{68}}{2} = 3 \pm \sqrt{17}$.

Use the Quadratic Formula to Solve the Equation x(x−6)=8x ( x - 6 ) = 8x(x−6)=8

Use the Quadratic Formula to Solve the Equation $x ( x - 6 ) = 8$