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 347

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

Comprehend the relationship between activity levels and total budgeted overhead costs.

Understand the factors causing variances in standard costing, including variable overhead efficiency and fixed overhead volume variances.

Interpret overhead cost performance reports and understand their components.

Recognize the role of budgeted fixed overhead in controlling overhead costs.

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