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