Question

how do you find the center for a circle with the equation x^2+y^2=5x+6y

Answer 1

general form equation of circle is :
x^2+y^2+Ax+By+c=0
with the center is C(a,b) :
a=-1/2*A, b=-1/2*B

Answer 2

is the center -5,6? can you explain the last part?

Answer 3

ok, given equation of circle : x^2+y^2=5x+6y or
x^2+y^2-5x-6y=0
so, A=-5 and B=-6
to get its center, use formula like i said before
a = -1/2*A = -1/2 * (-5) = ....?
b = -1/2*B = -1/2 * (-6) = ....?

Answer 4

alright so is it a=2.5 and b= 3 ?

Answer 5

thats right

Answer 6

so the radius is 0? how would you draw this?

Answer 7

to get its radius, u can use formula :