Question

Find the center and the radius of the circle: x2 + 4x + y2 - 6x = 10.

Answer 1

circle formula x^2+y^2=r^2
you need to put it in this form

Answer 2

(x-h)^2+(y-k)^2=r^2
where h and k the shift from the (0,0))

Answer 3

@jorgev182 please if I simplify 4x-6x=-2x, I can write your formula like this:
\[x^{2}+y ^{2}-2x=10\]
is it right?

Answer 4

yes thank you

Answer 5

if so, I can write your equation as@AJ01 said, namely as below:
\[(x-1)^{2}+(y-0)^{2}=11\]
from which you can read the coordinnate of the centre and the radius