Find All Values of X Satisfying the Given Conditions $y = x ^ { 2 } + 4 x$

question 192

Multiple Choice

Find all values of x satisfying the given conditions.
- $y = x ^ { 2 } + 4 x$ and $y = 40$

• A) \(- 2 \pm 2 \sqrt { 11 }\)
• B) \(- 2 \pm 2 \sqrt { 22 }\)
• C) \(\pm 2 \sqrt { 11 }\)
• D) \(2 \sqrt { 11 } \pm 2\)

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Definitions:

Scientific Inquiry

The process of exploring the natural world through observation, experimentation, and data analysis to answer questions.

Comparative Reasoning

A method of thinking where different objects, ideas, or situations are examined in relation to each other to identify similarities and differences.

Ideological Reasoning

Making conclusions or judgments based on a set of beliefs or ideologies.

Empirical Reasoning

Reasoning based on observed and measurable evidence, typically through experiments or experience, rather than theory or pure logic.