39-56 ■ Finding the Equation of an Ellipse Find an equation for the ellipse that satisfies the given conditions.
Eccentricity: , foci:
The equation for the ellipse for the given conditions.
The basic equation for an ellipse which is used is given as,
Here, and are constant values.
The formula to calculate the eccentricity in the number is given as,
Here, is and the eccentricity of every ellipse satisfies .
The expression to find the foci is given as,
The eccentricity is and the foci are of an ellipse.
Since the foci is , then the value of will be .
Calculate the value of major length.
Substitute for and for in equation to calculate the major length.
Calculate the value of minor length
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