Solve the Equation by Completing the Square $$x ^ { 2 } + 6 x = 31$$

question 39

Multiple Choice

Solve the equation by completing the square. Express any complex numbers using i notation.
- $$x ^ { 2 } + 6 x = 31$$

• A) \(x = - 3 \pm 2 \sqrt { 10 }\)
• B) \(x = - 3 \pm 2 \sqrt { 20 }\)
• C) \(x = 2 \sqrt { 10 } \pm 3\)
• D) \(x = \pm 2 \sqrt { 10 }\)

---

Definitions:

Plan Assets

Assets that are held by a retirement or pension plan for the exclusive purpose of paying benefits to participants as they become due.

Expected Return

The anticipated profit or loss from an investment over a given period, taking into account the probability of various outcomes.

Deferred Gain

A gain that is realized for accounting purposes but not yet recognized for tax purposes, or a gain that is spread over time by various accounting methods.

Expected Return

Expected return is the anticipated amount of profit or loss an investment generates, based on historical data or probabilistic estimates.