Solve the equation using the quadratic formula.
-$5 x ^ { 2 } + 12 x = - 2$
A) $x = \frac { - 6 + \sqrt { 26 } } { 10 }$ or $x = \frac { - 6 - \sqrt { 26 } } { 10 }$
B) $x = \frac { - 6 + \sqrt { 46 } } { 5 }$ or $x = \frac { - 6 - \sqrt { 46 } } { 5 }$
C) $x = \frac { - 6 + \sqrt { 26 } } { 5 }$ or $x = \frac { - 6 - \sqrt { 26 } } { 5 }$
D) $x = \frac { - 12 + \sqrt { 26 } } { 5 }$ or $x = \frac { - 12 - \sqrt { 26 } } { 5 }$

Question

Quizplus · Accepted Answer

The equation can be rewritten as $5x^2 + 12x + 2 = 0$. Using the quadratic formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, where $a = 5$, $b = 12$, and $c = 2$, we find $x = \frac{-12 \pm \sqrt{12^2 - 4 \cdot 5 \cdot 2}}{10} = \frac{-12 \pm \sqrt{64}}{10} = \frac{-12 \pm 8}{10}$. Simplifying gives $x = \frac{-6 \pm \sqrt{26}}{5}$.

Solve the Equation Using the Quadratic Formula 5x2+12x=−25 x ^ { 2 } + 12 x = - 25x2+12x=−2

Solve the Equation Using the Quadratic Formula $5 x ^ { 2 } + 12 x = - 2$