Solve the Equation by Completing the Square $$x ^ { 2 } + 3 x - 9 = 0$$

question 70

Multiple Choice

Solve the equation by completing the square.
- $$x ^ { 2 } + 3 x - 9 = 0$$

• A) \(\{ - 3 - 3 \sqrt { 5 } , - 3 + 3 \sqrt { 5 } \}\)
• B) \(\left\{ \frac { - 3 - 3 \sqrt { 5 } } { 2 } , \frac { - 3 + 3 \sqrt { 5 } } { 2 } \right\}\)
• C) \(\left\{ \frac { 3 + 3 \sqrt { 5 } } { 2 } \right\}\)
• D) \(\left\{ \frac { - 3 - 3 \sqrt { 5 } } { 2 } \right\}\)

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Definitions:

Thurstone's Models

Refers to theories and psychometric techniques developed by L. L. Thurstone, primarily concerning the measurement of attitudes and the structure of intelligence.

Spearman's Models

Theories developed by Charles Spearman, including the concept of a general intelligence factor known as "g" that underlies specific cognitive abilities.

Intelligence

The ability to learn, understand, and make judgments or have opinions that are based on reason.

Performance Tests

Assessments designed to evaluate an individual's abilities or skills through hands-on activities and practical tasks rather than through written questions.