Give All Solutions of the Nonlinear System of Equations, Including $$\begin{array} { r } 5 x ^ { 2 } + 3 x y - 5 y ^ { 2 } = - 9 \\x ^ { 2 } - x y - y ^ { 2 } = - 5\end{array}$$

question 344

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
- $$\begin{array} { r } 5 x ^ { 2 } + 3 x y - 5 y ^ { 2 } = - 9 \\x ^ { 2 } - x y - y ^ { 2 } = - 5\end{array}$$

• A) \(\left\{ ( - 1,2 ) , ( 1 , - 2 ) , \left( 2 \mathrm { i } \sqrt { 2 } , \frac { \mathrm { i } \sqrt { 2 } } { 2 } \right) , \left( - 2 \mathrm { i } \sqrt { 2 } , - \frac { \mathrm { i } \sqrt { 2 } } { 2 } \right) \right\}\)
• B) \(\{ ( - 1,2 ) , ( 1 , - 2 ) , ( 2 i , i ) , ( - 2 i , - i ) \}\)
• C) \(\left\{ ( - 1 , - 2 ) , ( 1,2 ) , \left( 2 \mathrm { i } \sqrt { 2 } , - \frac { \mathrm { i } \sqrt { 2 } } { 2 } \right) , \left( - 2 \mathrm { i } \sqrt { 2 } , \frac { \mathrm { i } \sqrt { 2 } } { 2 } \right) \right\}\)
• D) \(\{ ( - 1 , - 2 ) , ( 1,2 ) , ( 2 i , - i ) , ( - 2 i , i ) \}\)

Understand the characteristics and differences between various U.S. government securities such as Treasury bills, notes, and bonds.

Recognize the nuances between Federal Agency debt issues and U.S. Treasury securities.

Comprehend the structure and implications of interest rates and maturity values of Treasury bills.

Analyze the reasons investors might choose municipal bonds over higher interest revenue options.