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The equation x^2 + 6x + y^2 + 6y  = 78 represents a circle. What is its center? Write your answer as an ordered pair.

 Jul 25, 2021
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x^2  +  6x  + y^2  +  6y  =  78      complete the square on x  and  y

 

x^2  + 6x + 9  + y^2  + 6y  + 9   = 78   + 9 + 9

 

(x + 3)^2    +   ( y + 3)^2      =  96

 

The center   is     ( -3 , -3)

 

cool cool cool

 Jul 25, 2021

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