# What conic section does the equation #x^2 + 4y^2 - 4x + 8y - 60 = 0 # represent?

##### 1 Answer

In this problem we are going to rely on the completing the square technique to massage this equation into an equation that is more recognizable.

Let's work with the

Re-write equation:

Let's factor out a 4 from the

Let's work with the

But remember that we factored out a 4 from the left side of the equation. So on the right side we are actually going to add 4 because

Re-write equation:

**This is an ellipse when a center (2,-1).**

**The #x#-axis is the major axis.**

**The #y#-axis is the minor axis.**