Determine the Real Solutions to the System of Nonlinear Equations $$y ^ { 2 } + 2 x ^ { 2 } = 28$$

question 97

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$y ^ { 2 } + 2 x ^ { 2 } = 28$$
$y ^ { 2 } - x ^ { 2 } = 1$

• A) \(( 3 , \sqrt { 10 } ) , ( 3 , - \sqrt { 10 } ) , ( - 3 , \sqrt { 10 } ) , ( - 3 , - \sqrt { 10 } )\)
• B) \(( 4 , \sqrt { 10 } ) , ( 4 , - \sqrt { 10 } )\)
• C) \(( 4 , \sqrt { 10 } ) , ( 4 , - \sqrt { 10 } ) , ( - 4 , \sqrt { 10 } ) , ( - 4 , - \sqrt { 10 } )\)
• D) \(( 3 , \sqrt { 10 } ) , ( 3 , - \sqrt { 10 } )\)

---

Definitions:

Psychoanalytic Theorist

A psychologist who studies and uses the theories and methods of psychoanalysis, a clinical method for treating psychopathology through dialogue between a patient and a psychoanalyst.

Preschooler

A child typically between the ages of 3 and 5 years old who is in the developmental stage before entering formal schooling.

Psychosocial Stage

Stages of psychological and social development postulated by Erik Erikson, through which an individual progresses throughout their lifetime.

Identity Versus Identity Confusion

Erikson’s fifth developmental stage, which individuals experience during the adolescent years. At this time, adolescents examine who they are, what they are all about, and where they are going in life.