+130511 x^2+y^2-6x+8y=144 write as
x^2 - 6x + ____ + y^2 + 8y + ____ = 144 + _____ + ______ complete the square on x and y
x^2 - 6x + 9 + y^2 + 8y + 16 = 144 + 9 + 16 factor
(x - 3)^2 + (y + 4)^2 = 169
The circle's center is ( 3, -4) .... and the radius = sqrt(169) = 13
And that's it !!!
How do I simplify the circle equation x^2+y^2-6x+8y=144
(x-3)^2+(y+4)^2-169 = 0
+130511 x^2+y^2-6x+8y=144 write as
x^2 - 6x + ____ + y^2 + 8y + ____ = 144 + _____ + ______ complete the square on x and y
x^2 - 6x + 9 + y^2 + 8y + 16 = 144 + 9 + 16 factor
(x - 3)^2 + (y + 4)^2 = 169
The circle's center is ( 3, -4) .... and the radius = sqrt(169) = 13
And that's it !!!
