SOLUTION: Prove that the equation: X^2+Y^2-6X=0 is an equation of a circle and find the coordinates of the center and the radius.

Algebra ->  Circles -> SOLUTION: Prove that the equation: X^2+Y^2-6X=0 is an equation of a circle and find the coordinates of the center and the radius.      Log On


   

Question 893834: Prove that the equation: X^2+Y^2-6X=0 is an equation of a circle and find the coordinates of the center and the radius.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
I'm using lower-case letters for the variables.
x%5E2%2By%5E2-6x=0. Complete the Square for the x.
x%5E2-6x%2By%5E2=0, needs the term %28-6%2F2%29%5E2=9.
x%5E2-6x%2B9%2By%5E2=9
highlight%28%28x-3%29%5E2%2By%5E2=9%29

Center is at (3,0) and radius is 3.