Question

The equation x"squared" + y"squared" - 2x + 2y -1 = 0 is the general form of the equation of a circle. What is the standard form of the equation?

Answer 1

complete the square in x and y

\[x^2 -2x + y^2 + 2x = -1\]

what needs to be added to make a perfect square in x and a prefect square in y.

add those values to both sides of the equation then factor and the equation will be in the form

\[(x - a)^2 + (y + b)^2 = r^2\]

hope it helps

Answer 2

can you explain it a lil more plzz