SOLUTION: Find the center and radius of the graph of the circle. The equation of the circle is written in general form. x2 + y2 − 10x − 4y + 4 = 0 center (x, y) = ?

Algebra ->  Coordinate-system -> SOLUTION: Find the center and radius of the graph of the circle. The equation of the circle is written in general form. x2 + y2 − 10x − 4y + 4 = 0 center (x, y) = ?       Log On


   

Question 410126: Find the center and radius of the graph of the circle. The equation of the circle is written in general form.
x2 + y2 − 10x − 4y + 4 = 0
center (x, y) = ?
radius: ?
Answer by Coyote 10(7) About Me  (Show Source):
You can put this solution on YOUR website!
First group the x and y terms together so you get x^2-10x+y^2-4y+4=0.Subtract four to the right side. Complete the square for both the x and y terms and add both constances to the right side:(x-5)^2+(y-2)^2= -4+25+4. Thus your equation would be (x+5)^2+(y-2)^2=25.When you suqare both sides you get (x+5)+(y-2)=5. Your center would (-5,2), h=-5 and k=2. Your radius would equal 5