Solve the System $\left\{ \begin{array} { l } x ^ { 2 } - y ^ { 2 } = 12 \\x ^ { 2 } + y ^ { 2 } = 10\end{array} \right.$

question 79

Essay

Solve the system $\left\{ \begin{array} { l } x ^ { 2 } - y ^ { 2 } = 12 \\x ^ { 2 } + y ^ { 2 } = 10\end{array} \right.$ over the complex numbers.

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Definitions:

Projection

A defense mechanism in psychology where an individual attributes their own undesirable thoughts, feelings, or motives to another person.

Self-awareness

Conscious knowledge of one's own character, feelings, motives, and desires.

Worldview

The fundamental cognitive orientation of an individual comprising their beliefs, values, and perceptions of the world.

Life Context

The circumstances, environment, or situations that form the backdrop for an individual's experiences and decisions.