Give All Solutions of the Nonlinear System of Equations, Including $$\begin{array} { l } 2 x ^ { 2 } + x y + 2 y ^ { 2 } = 2 \\3 x ^ { 2 } - 5 x y + 3 y ^ { 2 } = 3\end{array}$$

question 376

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
- $$\begin{array} { l } 2 x ^ { 2 } + x y + 2 y ^ { 2 } = 2 \\3 x ^ { 2 } - 5 x y + 3 y ^ { 2 } = 3\end{array}$$

• A) \(\{ ( 1,0 ) , ( - 1,0 ) , ( 0,1 ) , ( 0 , - 1 ) \}\)
• B) \(\{ ( 1,0 ) , ( 0,1 ) \}\)
• C) \(\{ ( 1,0 ) \}\)
• D) \(\{ ( 1,0 ) , ( - 1,0 ) \}\)

---

Definitions:

Times Interest Earned Ratio

A metric used to measure a company's ability to meet its debt obligations by comparing its interest expenses to its earnings before interest and taxes.

Debt

An amount of money borrowed by one party from another, under the condition that it is to be paid back at a later date, often with interest.

Investment

The action or process of investing money for profit or material result.

Coupon Rate

A bond's annual interest yield, represented as a percentage of its principal amount.