<PRE><B>Question 113830</B>
Explain why the following is not the equation of a circle
{{{x^2+y^2-6x-10y +35=0}}}
-----------------------------
Complete the square on the x-terms and the y-terms separately.
x^2-6x+9 + y^2-10y+25 = -35+9+25
(x-3)^2 + (y-5)^2 = -1
------------------------------------
The sum of two squares cannot be negative.
------------------------------------
Cheers,
Stan H.

</PRE>