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

Algebra ->  Quadratic-relations-and-conic-sections -> 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      Log On


   



Question 113830: Explain why the following is not the equation of a circle
x%5E2%2By%5E2-6x-10y+%2B35=0
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) About Me  (Show Source):
You can put this solution on YOUR website!
Explain why the following is not the equation of a circle
x%5E2%2By%5E2-6x-10y+%2B35=0
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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
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The sum of two squares cannot be negative.
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Cheers,
Stan H.