SOLUTION: find the center and radius of the circle with the equation x^2+y^2=2x-2y+7

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Question 268167: find the center and radius of the circle with the equation x^2+y^2=2x-2y+7
Answer by solver91311(24713) About Me  (Show Source):
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Variables to the left, constants to the right:



Group like variables:



Complete the square on . Divide the coefficient on the 1st degree -term by 2 and square the result. Add that result to both sides of the equation: (-2 divided by 2 is -1. -1 squared is 1. Add 1 to both sides)



Complete the square on . Divide the coefficient on the 1st degree -term by 2 and square the result. Add that result to both sides of the equation: (2 divided by 2 is 1. 1 squared is 1. Add 1 to both sides)



Factor the trinomial in :



Factor the trinomial in :



The equation of a circle with center at and radius is:






Your center is at and radius is

John