Find the equation of the ellipse with foci at (0, 0) and (2, 2), with eccentricity...

Find the equation of the ellipse with foci at (0, 0) and (2, 2), with eccentricity e = 0.5. Express the equation in standard form ax2 + by2 + cxy + dx + ey = f and in terms of the distance formula sqrt(x^2+y^2) + sqrt[(x-2)^2 +(y-2)^2]=?

There is an answer posted on Chegg, but I don't think I agree with it. Since the foci are at (0, 0) and (2, 2) it seems that the major axis is rotated 45 degrees CCW. I can find a, b, and c. I don't understand how to account for the rotation in the formula. Can you help?

Expert Solution

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Colby Messinger answered 2 years ago

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