Solve the equation by using the quadratic formula.
-$$2 x ( x - 2 ) = 5$$
A) $1 \pm \frac { \sqrt { 14 } } { 2 }$
B) $- 1 + \frac { \sqrt { 14 } } { 2 } , - 6 + \frac { \sqrt { 14 } } { 2 }$
C) $1 \pm \frac { \sqrt { 14 } } { 2 } i$
D) $- 1 + \frac { \sqrt { 14 } } { 2 } i , - 6 + \frac { \sqrt { 14 } } { 2 } i$

Question

Quizplus · Accepted Answer

First, expand and rearrange the equation into standard quadratic form: $2x^2 - 4x - 5 = 0$. Applying the quadratic formula, $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, with $a = 2$, $b = -4$, and $c = -5$, yields $x = 1 \pm \frac{\sqrt{14}}{2}$.

Solve the Equation by Using the Quadratic Formula 2x(x−2)=52 x ( x - 2 ) = 52x(x−2)=5

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