Question

What is the equation of the ellipse with foci (0, 7), (0, -7) and vertices (0, 8), (0, -8)?

Answer 1

\[a^2 + b^2 = c^2\]
\[a^2 - c^2 = -b^2\]

Answer 2

8^2 - 7^2 = 15

Answer 3

\[\frac{ x^2 }{ 15 } + \frac{ y^2 }{ 64 } \]