Question
Determine the center and the radius for the circle. Also, find the $y$ -coordinates of the points (if any) where the circle intersects the $y$ -axis.$$x^{2}+y^{2}-10 x+2 y+17=0$$
Step 1
To do this, we complete the square for the $x$ and $y$ terms. The given equation is $x^{2}+y^{2}-10 x+2 y+17=0$. We group the $x$ terms together and the $y$ terms together to get $(x^{2}-10x) + (y^{2}+2y) = -17$. Show more…
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