# In getting the equation of q circle, how to translate a general equation into standard form? Please I need your help now

1
by Zarise

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by Zarise

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For example,

1. x²+y²+4x-2y+1 = 0

Firstly, you need to arrange. Then, move the real whole number to the other side.

x²+4x+y²-2y = -1

Then, complete the square.

x²+4x

4÷2=2²=

Same with y²-2y+1.

2÷2=12=

Now, when we added 4 and 1 from the left side, let's also add 4 and 1 to the right side.

x²+4x

Lastly, let's factor to get the center and the radius.

x²+4x+4

Factor: (x+4)²

y²-2y+1

Factor: (y-1)²

x²+4x

(x+4)²+(y-1)²=4