# How do I find the center of an ellipse with the equation #9x^2+16y^2-18x+64y=71#?

##### 1 Answer

Oct 7, 2014

Perform completing the Square...

Group the variables first

Do some factoring

Now, add something X and Y perfect squares.

However, since we added something on the left side of the equation,

we need to add the same value on the right side to maintain the equation.

From here it's already obvious that the ellipse is centered at (1, -2)