Solve the Equation by Completing the Square $$3 x ^ { 2 } + 8 x + 1 = 0$$

question 55

Multiple Choice

Solve the equation by completing the square. Express any complex numbers using i notation.
- $$3 x ^ { 2 } + 8 x + 1 = 0$$

• A) \(x = \frac { - 4 \pm \sqrt { 19 } } { 3 }\)
• B) \(x = \frac { - 4 \pm \sqrt { 13 } } { 6 }\)
• C) \(x = \frac { - 4 \pm \sqrt { 13 } } { 3 }\)
• D) \(x = \frac { - 8 \pm \sqrt { 13 } } { 3 }\)

---

Definitions:

Antislavery Efforts

Activities, movements, or initiatives aimed at ending or opposing slavery, often including advocacy, legislation, and support networks for escaped slaves.

Religious Conviction

A firm belief in a particular religion or religious principles, often guiding an individual's actions and decisions.

Immediate Emancipation

The instant freeing of slaves, without gradual measures, often advocated by abolitionists before and during the American Civil War.

Gradual Emancipation

A series of acts passed in state legislatures throughout the North in the years following the Revolution that freed slaves after they reached a certain age, following lengthy “apprenticeships.”