Solve the Cubic Equation Using Factoring and the Quadratic Formula $$x ^ { 3 } + 64 = 0$$

question 338

Multiple Choice

Solve the cubic equation using factoring and the quadratic formula.
- $$x ^ { 3 } + 64 = 0$$

• A) \(\{ - 4,2 \pm 2 \mathrm { i } \sqrt { 3 } \}\)
• B) \(\{ - 4 , - 2 \pm 2 \mathrm { i } \sqrt { 6 } \}\)
• C) \(\{ - 4,2 \pm 2 \mathrm { i } \sqrt { 5 } \}\)
• D) \(\{ - 4 , - 2 \pm 2 i \}\)

---

Definitions:

Sufficient Condition

A condition or set of conditions that, if satisfied, ensures that a certain statement or outcome must be true.

Method of Concomitant Variations

A scientific principle stating that if two variables vary together in a consistent manner, then one may be a cause of the other.

Suspected Cause

A factor that is believed or speculated to be the reason behind a certain condition or event, often investigated in causal research.

Initial Knowledge

The foundational information or understanding one has at the beginning of a learning process or inquiry.