SOLUTION: Dear Sir/Madam, I am confronted with the following problem: "Find a polar equation which has the same graph as the equation {{{ x^2 - 2x + y^2 = 0 }}}." I assumed that th

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Dear Sir/Madam, I am confronted with the following problem: "Find a polar equation which has the same graph as the equation {{{ x^2 - 2x + y^2 = 0 }}}." I assumed that th      Log On


   



Question 7324: Dear Sir/Madam,
I am confronted with the following problem:
"Find a polar equation which has the same graph as the
equation +x%5E2+-+2x+%2B+y%5E2+=+0+."
I assumed that this question wants you to complete the square, so I went ahead and did that.
1) +%28x-1%29%5E2+-+1+%2B+y%5E2+=+0+
2) +y%5E2+-+1+=+-%28x-1%29%5E2+
Meaning that the center of this circle is at (1, 1) correct? Either way, once you have this information, how do you put this into a polar equation? Or did I approach this question entirely wrong?
Thanks in advance.
Regards,
-Mike

Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
great job on both typing formulas in our formula system as well as getting to the solution. You are almost there.
%28x-1%29%5E2%2By%5E2+=+1
that's an equation of a circle with center in point x=1, y=0.
so, assuming that this is what you want, system%28+x=1%2B+cos%28+phi+%29%2C+y=sin%28+phi+%29+%29+.