Hello, Stonehambey!

Prove that the following curve is an ellipse:

. .

You have the right idea, but I've learned that it's better to simplify first.

We have: .

Substitute now: .

. . . . . . . . . . . . . .

. . . . . . . . . .

Square both sides: .

. . . . . .

Complete the square: .

. .

Divide by

And we have: .

This an ellipse with: . center