100k views
5 votes
X 2 +2x+y 2 =0 what is the center and radius of the circle?

User Ccallendar
by
8.4k points

1 Answer

5 votes

Center = (-1,0) Radius= 1

when you complete the square your equation should look something like

(x²+2x+1) (y²+0) = 1.The 1 on the left side coming from (b/2)² which is (2/2)² which equals 1 and whatever you add to one side, you have to add to the other so when you add 0+1 you get the 1 on the right side. Then factor or use the (b/2) from earlier without the ² so you should get (x²+1) + (y²+0) = 1. Flip the sign so you have negative 1 and 0. For the radius, square the right side and of course,
√(1) is simply 1 so your radius is 1. A lot of 1's huh? lol at least it makes the operations nice and simple :)

User Yonatanmn
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories