Give All Solutions of the Nonlinear System of Equations, Including $\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 36 \\x ^ { 2 } - y ^ { 2 } = 36\end{array}$

question 487

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 36 \\x ^ { 2 } - y ^ { 2 } = 36\end{array}$

• A) {(6,0)}
• B) {(6,0),(-6,0)}
• C) {(0,6),(0,-6)}
• D) {(0,-6)}

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Definitions:

Expected Value

The anticipated value or mean outcome of a variable, calculated as the sum of all possible values each multiplied by its probability of occurrence.

Sample Information

Data collected from a subset of a larger group or population to infer or analyze characteristics of the whole group.

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A unit of measure or a reference to the quantity of coffee consumed or required for a given purpose.

Variance

A measure of the spread or dispersion of a set of data points, calculated as the average of the squared differences from the mean.