Let 
be positive numbers with 
. Find values of 
and 
such that the area of the region enclosed by the ellipse
![\[ Ax^2 + By^2 = 3 \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-b9db04d16495ff77c35d59feb5d08e72_l3.png "Rendered by QuickLaTeX.com")
is the same as the area bounded by the ellipse
![\[ (A+B)x^2 + (A-B)y^2 = 3. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-998eea6167cba106d88781e45c37e4b8_l3.png "Rendered by QuickLaTeX.com")
Incomplete.
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