Let be positive numbers with . Find values of and such that the area of the region enclosed by the ellipse

is the same as the area bounded by the ellipse

**Incomplete.**

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Stumbling Robot

A Fraction of a Dot
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Find constants so two ellipses enclose equal areas

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Let be positive numbers with . Find values of and such that the area of the region enclosed by the ellipse

is the same as the area bounded by the ellipse

**Incomplete.**

A^2 – B^2 = AB, and A>B>0.

this simplifies to A=ϕB, where ϕ is the golden ratio. This can be deduced by dividing the equation by B^2