Question

Write the equation of the ellipse 9x2 + 4y2 – 72x + 40y + 208 = 0 in standard form.

Answer 1

\[9 (x-4)^2+4 (y+5)^2-36 = 0\]

Answer 2

\[9(x-4)^2+4(y+5)^2-36=0\]
\[9(x-4)^2+4(y+5)^2=36\]
\[\frac{9(x-4)^2}{36} +\frac{4(y+5)^2}{36}=1\]
\[\frac{(x-4)^2}{4}+\frac{(y+5)^2}{9}=1\]

Answer 3

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