Solve Quadratic Equations Using the Quadratic Formula
Solve the equation using the quadratic formula.
-$$3 x ^ { 2 } + 7 x + 8 = 0$$
A) $\left\{ \frac { - 7 \pm i \sqrt { 47 } } { 6 } \right\}$
B) $\left\{ \frac { - 7 \pm \sqrt { 47 } } { 6 } \right\}$
C) $\left\{ \frac { 7 \pm i \sqrt { 47 } } { 6 } \right\}$
D) $\left\{ \frac { 7 \pm \sqrt { 47 } } { 6 } \right\}$

Question

Quizplus · Accepted Answer

The quadratic formula is $\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. For the equation $3x^2 + 7x + 8 = 0$, $a = 3$, $b = 7$, and $c = 8$. Plugging these into the formula gives $\frac{-7 \pm \sqrt{7^2 - 4(3)(8)}}{2(3)} = \frac{-7 \pm \sqrt{49 - 96}}{6} = \frac{-7 \pm i\sqrt{47}}{6}$, indicating complex solutions.

Solve Quadratic Equations Using the Quadratic Formula Solve the Equation 3x2+7x+8=03 x ^ { 2 } + 7 x + 8 = 03x2+7x+8=0

Solve Quadratic Equations Using the Quadratic Formula
Solve the Equation $3 x ^ { 2 } + 7 x + 8 = 0$