SOLUTION: write an equation for the ellipse passing through (0, 2) and (4, 0) with center at the origin

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Question 776190: write an equation for the ellipse passing through (0, 2) and (4, 0) with center at the origin
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write an equation for the ellipse passing through (0, 2) and (4, 0) with center at the origin
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Form: x^2/a^2 + y^2/b^2 = 1
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(0,2) gives: 0 + 4/b^2 = 1
b^2 = 4
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(4,0) gives: 16/a^2 + 0 = 1
a^2 = 16
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Equation:
x^2/16 + y^2/4 = 1
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Cheers,
Stan H.