Question

Find the center and the radius of the following circle: x^2 + y^2 - 6x + y = 3

Best explanation/answer earns medal!

Answer 1

we can do this by completing the square to convert the equation to the form
(x - a)^2 + ( y - b)^2 = r^2
Are you familiar with completing the square?

Answer 2

i think so, i have the answers in my notes, but i'm just trying to remember what i did to get that answer

Answer 3

Right now i have (x-3)^2 + (y + .5)^2

Answer 4

x^2 - 6x = (x - 3)^2 - 9

Answer 5

what about the y value?

Answer 6

y^2 + y = (y + 0.5)^2 - 0.25

Answer 7

so the center of the circle is (3,-.5)
how do i find the radius?

Answer 8

(x - 3)^2 + (y + 0.5)^2 = 3 + 9 + 0.25 = 12 .25
r^2 = 12.25
r = ?

Answer 9

3.5??

Answer 10

yep

Answer 11

oh okay cool!

Answer 12

yw

Answer 13

thanks!

Answer 14

yw