Use the Graphical Method to Find All the Solutions of the System

question 139

Essay

Use the graphical method to find all the solutions of the system of equations. $$\left\{ \begin{array} { l } \frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1 \\y = 4 x ^ { 2 } - 4\end{array} \right.$$

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Definitions:

Variables

Elements or characteristics in research that can change or vary, often categorized as dependent or independent.

Correlation Coefficient

A numeric metric that determines the intensity and orientation of a linear association between two numerical variables.

Range

The difference between the highest and lowest values in a set of data.

Magnitude

The size, extent, or importance of something, often quantitative in nature.