how do i change x^2 + y^2 + 2x + 2y -23 = 0 into standard circle form?

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how do i change x^2 + y^2 + 2x + 2y -23 = 0 into standard circle form?

I was suggested to complete the square?

2007-02-04 15:13:14 · 2 answers · asked by Derrec 3 in Education & Reference ➔ Homework Help

2 answers

The standard form here is (x-a)^2 + (y-b)^2 = r^2
SO, rearrange-
x^2 +2x +y^2 + 2y = 23

Add 2 to both sides
x^2 +2x +1 +y^2 + 2y +1 = 25

Simplifies to
(x+1)^2 + (y+1)^2 = 5^2

2007-02-04 15:21:12 · answer #1 · answered by Alan 6 · 0⤊ 0⤋

X ( X + 2 ) + Y ( Y + 2 ) = 23

2007-02-04 23:20:31 · answer #2 · answered by virtual 1 · 0⤊ 1⤋