Solve the equation by using the quadratic formula.
-$$6 x ( x - 2 ) = 5$$
A) $\left\{ - 1 + \frac { \sqrt { 66 } } { 6 } , - 6 + \frac { \sqrt { 66 } } { 6 } \right\}$
B) $\left\{ 1 \pm \frac { \sqrt { 66 } } { 6 } \right\}$
C) $\left\{ 1 \pm \frac { \sqrt { 66 } } { 6 } i \right\}$
D) $\left\{ - 1 + \frac { \sqrt { 66 } } { 6 } i , - 6 + \frac { \sqrt { 66 } } { 6 } i \right\}$

Question

Quizplus · Accepted Answer

The equation can be rewritten as $6x^2 - 12x - 5 = 0$. Using the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, where $a = 6$, $b = -12$, and $c = -5$, we find the solutions to be $1 \pm \frac{\sqrt{66}}{6}$.

Solve the Equation by Using the Quadratic Formula 6x(x−2)=56 x ( x - 2 ) = 56x(x−2)=5

Solve the Equation by Using the Quadratic Formula $6 x ( x - 2 ) = 5$