SOLUTION: x2+y2−14x+8y+29=0 is the equation of a circle with center(h,k) and radius r. What is h,k and r? I know h=7 but i can't get the other two.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: x2+y2−14x+8y+29=0 is the equation of a circle with center(h,k) and radius r. What is h,k and r? I know h=7 but i can't get the other two.      Log On


   

Question 1099952: x2+y2−14x+8y+29=0 is the equation of a circle with center(h,k) and radius r. What is h,k and r?
I know h=7 but i can't get the other two.
Found 2 solutions by Fombitz, KMST:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square in x and y,
x%5E2%2By%5E2-14x%2B8y%2B29=0
%28x%5E2-14x%29%2B%28y%5E2%2B8y%29=-29
%28x%5E2-14x%2B49%29%2B%28y%5E2%2B8y%2B16%29=-29%2B49%2B16
%28x-7%29%5E2%2B%28y%2B4%29%5E2=36
.
.
.
(h,k)=(7,-4)
r%5E2=36
r=6

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2By%5E2-14x%2B8y%2B29=0
x%5E2-14x%2By%5E2%2B8y=-29
x%5E2-14x%2B49%2By%5E2%2B8y%2B16=-29%2B49%2B16
%28x-7%29%5E2%2B%28y%2B4%29%5E2=36
%28x-7%29%5E2%2B%28y%2B4%29%5E2=6%5E2
That last equation represents all the points
at a distance of highlight%28r=6%29 units
from the point with
system%28x-7=0%2Cy%2B4=0%29 <--->system%28x=highlight%28h=7%29%2Cy=highlight%28k=-4%29%29