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were going to put the equation of a circle into standard form so it is standard form so where you have X minus H quantity squared plus y minus K quantity squared equals the radius squared and heres our equation the first thing to notice is that for standard form if we took X minus H and foiled it out we would get an x squared well we have a 3x squared here so we want to lose that 3 same with the y so lets divide everything by 3 both sides we get x squared plus y squared minus 4x minus c-44 equals 0 okay the next thing is to put all the Xs together so that we can complete the square and get that X minus H quantity squared same with the Ys we want them by themselves theres actually just the Y squared so well just put it right there and then we want our constant on the right side ok and then to complete the square we take half of this coefficient here negative 4 divided by 2 we get negative 2 and then square negative 2 we get a positive 4 and if I add something to one side of the