SOLUTION: Find the center​ (h,k) and radius r of the circle and then use these to​ (a) graph the circle and​ (b) find the​ intercepts, if any. 40x^2+40x+40y^2=0

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the center​ (h,k) and radius r of the circle and then use these to​ (a) graph the circle and​ (b) find the​ intercepts, if any. 40x^2+40x+40y^2=0      Log On


   

Question 1070453: Find the center​ (h,k) and radius r of the circle and then use these to​ (a) graph the circle and​ (b) find the​ intercepts, if any.
40x^2+40x+40y^2=0
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply left and right members by 1%2F40 and have
x%5E2%2Bx%2By%5E2=0


complete the square for x.
%28x%5E2%2Bx%2B1%2F4%29%2By%5E2=0%2B1%2F4
%28x%2B1%2F2%29%5E2%2By%5E2=1%2F4
OR
%28x%2B1%2F2%29%5E2%2By%5E2=%281%2F2%29%5E2

Center is ( -1/2, 0 ).
Size of the radius is 1%2F2.

Setting x to 0 lets you find the y intercepts.
Setting y to 0 lets you find the x intercepts.