6 Determine the Most Efficient Method to Use When Solving a Quadratic Equation
-$\mathrm { y } = \mathrm { x } ^ { 2 } + 12 \mathrm { x }$ and $\mathrm { y } = - 16$
A) $- 6 \pm 2 \sqrt { 5 }$
B) $- 6 \pm 2 \sqrt { 10 }$
C) $\pm 2 \sqrt { 5 }$
D) $2 \sqrt { 5 } \pm 6$

Question

Quizplus · Accepted Answer

To solve the given quadratic equation, set $y = -16$ in $y = x^2 + 12x$, resulting in $x^2 + 12x + 16 = 0$. Factoring or using the quadratic formula, $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, with $a = 1$, $b = 12$, and $c = 16$, leads to the solutions $-6 \pm 2\sqrt{5}$.

6 Determine the Most Efficient Method to Use When Solving y=x2+12x\mathrm { y } = \mathrm { x } ^ { 2 } + 12 \mathrm { x }y=x2+12x

6 Determine the Most Efficient Method to Use When Solving $\mathrm { y } = \mathrm { x } ^ { 2 } + 12 \mathrm { x }$