SOLUTION: Write x^2 + y^2 - 10x + 4y + 27 = 0 in standard form

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write x^2 + y^2 - 10x + 4y + 27 = 0 in standard form       Log On


   



Question 288744: Write x^2 + y^2 - 10x + 4y + 27 = 0 in standard form
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+%2B+y%5E2+-+10x+%2B+4y+%2B+27+=+0
x%5E2-10x+%2By%5E2%2B+4y+%2B+27+=+0
%28x%5E2-10x%2B25%29+%2B%28y%5E2%2B+4y+%2B+4%29%2B27+=+25%2B4
%28x-5%29%5E2+%2B%28y%2B2%29%5E2%2B27=+29
%28x-5%29%5E2+%2B%28y%2B2%29%5E2=+2
A circle centered at (5,-2) with a radius of sqrt%282%29