Solve the System by the Substitution Method $\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 25 \\y ^ { 2 } = 2 x + 22\end{array}$

question 15

Multiple Choice

Solve the system by the substitution method.
- $\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 25 \\y ^ { 2 } = 2 x + 22\end{array}$

• A) \(( 1,2 \sqrt { 6 } ) , ( - 2,4 ) , ( 1 , - 2 \sqrt { 6 } ) , ( - 2 , - 4 )\)
• B) \(( 1,5 ) , ( - 3,5 ) , ( 1 , - 5 ) , ( - 3 , - 5 )\)
• C) \(( 2,2 \sqrt { 6 } ) , ( - 3,4 ) , ( 2 , - 2 \sqrt { 6 } ) , ( - 3 , - 4 )\)
• D) \(( 1,2 \sqrt { 6 } ) , ( - 3,4 ) , ( 1 , - 2 \sqrt { 6 } ) , ( - 3 , - 4 )\)

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Definitions:

Disordered Behavior

Actions or patterns of actions that are considered abnormal or outside societal norms, often indicative of a psychological condition.

Identical Processes

Processes that are exactly the same in every aspect, often used in scientific experiments to ensure replicability and reliability.

Somatoform Disorder

A mental disorder characterized by physical symptoms that have no apparent physical cause, indicating that psychological factors may be involved.

Cognitive Psychologist

A professional who studies mental processes such as perception, memory, problem-solving, and decision-making.