Determine the Most Efficient Method to Use When Solving a Quadratic Equation
Solve the equation by the method of your choice.
-$$\frac { x ^ { 2 } } { 12 } + x + \frac { 13 } { 12 } = 0$$
A) $\{ - 6 \pm \sqrt { 23 } \}$
B) $\{ 6 + \sqrt { 23 } \}$
C) $\{ 6 \pm \sqrt { 13 } \}$
D) $\{ - 12 + \sqrt { 13 } \}$

Question

Quizplus · Accepted Answer

To solve the given quadratic equation $\frac { x ^ { 2 } } { 12 } + x + \frac { 13 } { 12 } = 0$, the most efficient method is to use the quadratic formula, $x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$, where $a = \frac{1}{12}$, $b = 1$, and $c = \frac{13}{12}$. Plugging these values into the formula gives $x = \{-6 \pm \sqrt{23}\}$, which matches choice A.