To answer this question we will complete 2 perfect trinomials.
Notice that:

Then:

Compleating the perfect trinomials we get:

Simplifying the above result we get:

Adding 103 to the above result we get:

Dividing by 103 we get:

We can rewrite the above equation as follows:

Now, notice that the above equation is as follows:

Therefore the given equation represents an ellipse.
Answer: The given equation represents an ellipse.
