SOLUTION: Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph {{{x^2+y^2-10x-4y+13=0}}}

Algebra ->  Circles -> SOLUTION: Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph {{{x^2+y^2-10x-4y+13=0}}}      Log On


   

Question 652851: Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph x%5E2%2By%5E2-10x-4y%2B13=0
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
The equation of the circle in standard form is %28x+-+5%29%5E2+%2B+%28y+-+2%29%5E2+=+16.
The center is (5,2). The radius is r = sqrt%2816%29 = 4.
Here's the graph:
drawing%28300%2C300%2C-2%2C10%2C-4%2C8%2Cgrid%281%29%2Ccircle%285%2C2%2C4%29%29.
There's no y-intercept.
To get the x-intercepts, let y = 0 and solve for x.
%28x-5%29%5E2+%2B+%280+-+2%29%5E2+=+16
%28x+-+5%29%5E2+=+12
x - 5 = ±2sqrt%283%29
x = 5 ± 2sqrt%283%29
The coordinates of the x-intercepts are
(5 + 2sqrt%283%29, 0) and (5 - 2sqrt%283%29, 0).