Solve the equation by the method of your choice.
-$$6 x ^ { 2 } + 72 x + 240 = 0$$
A) $\{ - 8 , - 4 \}$
B) $\{ - 6 - 4 i , - 6 + 4 i \}$
C) $\{ - 6 + 2 i \}$
D) $\{ - 6 - 2 i , - 6 + 2 i \}$

Question

Quizplus · Accepted Answer

The quadratic equation can be solved using the quadratic formula: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. Here, $a = 6$, $b = 72$, and $c = 240$. The discriminant $b^2 - 4ac = 72^2 - 4 \times 6 \times 240 = -576$, which is negative, indicating complex roots. Solving gives the roots $-6 \pm 2i$.

Solve the Equation by the Method of Your Choice 6x2+72x+240=06 x ^ { 2 } + 72 x + 240 = 06x2+72x+240=0

Solve the Equation by the Method of Your Choice $6 x ^ { 2 } + 72 x + 240 = 0$