I was doing a problem for hyperbolas and it said to complete the
squares. What does that mean and how did the solution in the book
happen? The question is 4(x^2 – 4x) - 9(y^2 + 6y) = 101 and the
answer they give is 4(x^2 – 4x + 4) - 9(y^2 + 6y + 9) = 36.