SOLUTION: Explain why the following is not the equation of a circle {{{x^2+y^2-6x-10y +35=0}}} I think the answer is because we cant determine the radius, but I'm not sure if thats the c

Question 113830: Explain why the following is not the equation of a circle

I think the answer is because we cant determine the radius, but I'm not sure if thats the correct answer.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Explain why the following is not the equation of a circle

-----------------------------
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.

RELATED QUESTIONS
Find the radius of a circle with equation x^2 - 6x + y^2 + 10y =... (answered by plastery)

Find the center and radius of the circle whose equation is give by... (answered by Nate)

What is the sum of the coordinates of the center of the circle whose equation is x^2 + (answered by stanbon,mananth,ewatrrr)

Find the center of the circle defined by the equation:... (answered by Fombitz)

is x-2 a factor of x^5-7x^4+30x^2-5 how do we know? i think the answer is not a factor... (answered by stanbon)

The circle x^2+y^2-6x-8y=0 intersects the y axis at A& B and is a tangent to the x axis... (answered by stanbon)

Find the center of a circle with the equation:x^2+y^2-6x + 10y +24 = 0 (answered by Fombitz,scott8148)

X^2-6x+y^2+10y=-18 rewritten as the equation of a circle is A. (X-3)^2+(y+5)^2=9^2... (answered by Alan3354)

So I have a basic question about slope intercept. This is an equation in my book that I'm (answered by josgarithmetic)