Find the Values of X for Which the Expression Equals $$\sqrt { 4 - x ^ { 2 } } - x \left( \frac { 1 } { 2 } \right) \frac { 1 } { \sqrt { 4 - x ^ { 2 } } } ( 2 x )$$

question 5

Multiple Choice

Find the values of x for which the expression equals zero.
- $$\sqrt { 4 - x ^ { 2 } } - x \left( \frac { 1 } { 2 } \right) \frac { 1 } { \sqrt { 4 - x ^ { 2 } } } ( 2 x )$$

• A) \(\{ \pm \sqrt { 2 } \}\)
• B) \(\{ \sqrt { 2 } , 2 \}\)
• C) \(\{ \pm 2 \}\)
• D) \(\{ \pm \sqrt { 2 } , \pm 2 \}\)

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Definitions:

First-Born

The eldest child in a family, often subject to specific psychological and social dynamics and expectations.

Only Child

An individual who has no siblings, and as a result, may have unique developmental and social experiences compared to those with siblings.

Youngest Child

Describes the last-born child in a family, who may experience different parenting styles and family dynamics compared to their older siblings.

Second-Born

Refers to the child who is born second in the sibling order within a family, often facing different developmental challenges and family dynamics compared to first-born or later-born siblings.