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

question 177

Multiple Choice

Solve the equation by completing the square.
- $$x ^ { 2 } + 2 = - x$$

• A) \(\left\{ \frac { 1 - \mathrm { i } \sqrt { 7 } } { 2 } , \frac { 1 + \mathrm { i } \sqrt { 7 } } { 2 } \right\}\)
• B) \(\left\{ \frac { - 1 - i \sqrt { 7 } } { 2 } , \frac { - 1 + i \sqrt { 7 } } { 2 } \right\}\)
• C) \(\left\{ \frac { - 1 - \sqrt { 7 } } { 2 } , \frac { - 1 + \sqrt { 7 } } { 2 } \right\}\)
• D) \(\left\{ \frac { 1 - \sqrt { 7 } } { 2 } , \frac { 1 + \sqrt { 7 } } { 2 } \right\}\)

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Definitions:

Overregularization

A language acquisition error where children apply general grammatical rules too widely, leading to incorrect language uses, such as "goed" for "went."

Intelligence

A general mental capability that involves the ability to reason, plan, solve problems, think abstractly, comprehend complex ideas, learn quickly, and learn from experience.

Semanticity

The quality of language that allows it to convey meaning through the use of symbols with agreed-upon interpretations.

Instinct

An innate, typically fixed pattern of behavior in animals that is responsive to specific stimuli and critical for survival.