SOLUTION: I have such a hard time doing this problem: Write Standard Equation of Ellipse, Given Foci: (-2,0) and (2,0) and Vertices: (-6,0) and (6,0).

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: I have such a hard time doing this problem: Write Standard Equation of Ellipse, Given Foci: (-2,0) and (2,0) and Vertices: (-6,0) and (6,0).      Log On


   

Question 170037: I have such a hard time doing this problem:
Write Standard Equation of Ellipse, Given Foci: (-2,0) and (2,0) and Vertices: (-6,0) and (6,0).
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I have such a hard time doing this problem:
Write Standard Equation of Ellipse, Given Foci: (-2,0) and (2,0) and Vertices: (-6,0) and (6,0).
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Draw the picture.
Do you see that a = 6 and c = 2.
For an ellipse, a^2 + b^2 = c^2, so b = sqrt[6^2-2^2] = sqrt(32) = 4sqrt(2)
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EQUATION:
x^2/36 + y^2/32 = 1
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Cheers,
Stan H.
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