Find All Real Solutions to the System of Equations Using $\begin{aligned}x ^ { 2 } - 3 y ^ { 2 } & = 1 \\4 x ^ { 2 } + 3 y ^ { 2 } & = 19\end{aligned}$

question 111

Multiple Choice

Find all real solutions to the system of equations using the addition method.
- $\begin{aligned}x ^ { 2 } - 3 y ^ { 2 } & = 1 \\4 x ^ { 2 } + 3 y ^ { 2 } & = 19\end{aligned}$

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

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Definitions:

Conjunctive Task

A group task where the performance of the group is determined by the performance of the least capable member.

Process Loss

The inefficiencies that arise in group processes, leading to outcomes that are inferior to what could have been achieved by individuals working independently.

Actual Output

Refers to the real or achieved results or outcome of a process, which can be compared to expected or intended outputs.

Potential Output

Potential output is the maximum amount of goods and services an economy can produce when it fully uses its available resources.