Determine the Solutions of the System $\left\{ \begin{array} { l } x ^ { 2 } + 4 y ^ { 2 } = 25 \\x ^ { 2 } - 2 y ^ { 2 } = 1\end{array} \right.$

question 118

Essay

Determine the solutions of the system $\left\{ \begin{array} { l } x ^ { 2 } + 4 y ^ { 2 } = 25 \\x ^ { 2 } - 2 y ^ { 2 } = 1\end{array} \right.$ that is graphed below.

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Definitions:

Cognitive Dissonance

The psychological discomfort experienced by someone who holds two or more contradictory beliefs, ideas, or values at the same time.

Attribution-helplessness

A psychological phenomenon where individuals attribute their inability to control events to their own lack of ability, leading to feelings of helplessness.

Cognitive Triad

A concept in cognitive therapy that describes a pattern of thinking involving negative views about the self, the world, and the future.

Object Relations

A theory in psychoanalysis focusing on the relationships between individuals and the external objects (often other people) that represent significant others in one’s life.