SOLUTION: 3x^2 +18x+3y^2=0 Solve for center, radius and x,y intercepts.

Algebra ->  Circles -> SOLUTION: 3x^2 +18x+3y^2=0 Solve for center, radius and x,y intercepts.      Log On


   



Question 1164378: 3x^2 +18x+3y^2=0
Solve for center, radius and x,y intercepts.

Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.

The given equation is EQUIVALENT to

    x%5E2+%2B+6x+%2B+y%5E2 = 0


(after dividing both sides by 3).



Next, the last equation you transform using "completing the square"

    %28x%5E2+%2B+2%2A3x+%2B+3%5E2%29 + y%5E2 = 3%5E2

    %28x%2B3%29%5E2 + y%5E2 = 3%5E2.



It describes the circle of the radius 3 centered at the point  (-3,0).

Solved, answered and explained.