Give All Solutions of the Nonlinear System of Equations, Including $\begin{aligned}x ^ { 2 } - 3 y ^ { 2 } & = 1 \\4 x ^ { 2 } + 3 y ^ { 2 } & = 19\end{aligned}$

question 262

Multiple Choice

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.
$\begin{aligned}x ^ { 2 } - 3 y ^ { 2 } & = 1 \\4 x ^ { 2 } + 3 y ^ { 2 } & = 19\end{aligned}$

• A) {(-1,2),(1,-2)}
• B) {(1,2),(-1,2),(1,-2),(-1,-2)}
• C) {(2,1),(-2,-1)}
• D) {(2,1),(2,-1),(-2,1),(-2,-1)}

Interpret the results of statistical tests, including confidence intervals and hypothesis tests, in the context of the research question.

Design experiments and observational studies to compare two groups using paired and independent samples.

Evaluate the assumptions of statistical tests and the appropriateness of test selection based on the data structure.

Understand the concept of significance levels and p-values in the context of hypothesis testing.

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