SOLUTION: Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle. x2 + y2 − 8x + 8y + 7 = 0 I tried to work this p

Algebra ->  Circles -> SOLUTION: Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle. x2 + y2 − 8x + 8y + 7 = 0 I tried to work this p      Log On


   



Question 795322: Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle.
x2 + y2 − 8x + 8y + 7 = 0
I tried to work this problem out by completing the squar however my answer was wrong :( do you mind explaing the steps need for this question??

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
x2 + y2 − 8x + 8y + 7 = 0
Centre -(-8/2) , -(8/2)
Centre 4, -4
Radius = Square root of 4^2 + -4^2 - 7
Radius = sqrt%2825%29
Radius = 5
...................
Standard form:
(x - 4)^2 + (y + 4)^2 = 5^2
(x - 4)^2 + (y + 4)^2 = 25
Hope this helps.
:-)