Give All Solutions of the Nonlinear System of Equations, Including $\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 164 \\x ^ { 2 } - y ^ { 2 } = 36\end{array}$

question 167

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 164 \\x ^ { 2 } - y ^ { 2 } = 36\end{array}$

• A) {(10,8),(-10,8),(10,-8),(-10,-8)}
• B) {(-10,-8),(-8,-10)}
• C) {(10,8),(8,10),(-10,-8),(-8,-10)}
• D) {(10,-8),(10,8)}

---

Definitions:

Net Loss

The amount by which total expenses exceed total revenues in a given period, indicating that a company spent more than it earned.

Margin Of Safety

The difference between actual or projected sales and the break-even point, indicating the amount by which sales can drop before the business incurs a loss.

Variable Expenses

Charges that escalate or decrease in sync with production quantities or sales levels, involving materials and workforce.

Fixed Expenses

Costs that do not change with the level of production or sales over a short period, such as rent or salaries.