SOLUTION: How would you write an equation in standard form for an ellipse with foci(5,0)and (-5,0) and y- intercepts of 7 and -7?

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Question 89696: How would you write an equation in standard form for an ellipse with foci(5,0)and (-5,0) and y- intercepts of 7 and -7?
Answer by scott8148(5891) About Me  (Show Source):
You can put this solution on YOUR website!
this ellipse is centered at the origin with the foci on the y-axis so the equation will be of the form %28x%5E2%2Fb%5E2%29%2B%28y%5E2%2Fa%5E2%29=1

a is the semi-major axis, in this case a=7 ... c is the distance from center to focus, c=5

b^2=a^2-c^2 ... b^2=49-25 ... b^2=24

so the equation is %28x%5E2%2F24%29%2B%28y%5E2%2F49%29=1