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Complete the square to find the center and radius of each.. Full explanation and work Please..x2+y2+8x+8y=0

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Answer:

Therefore the center of circle is (-4,-4) and the radius is
4√(2) =5.66

Explanation:


x^(2) +y^(2)+8x+8y=0

Rearrange the terms,


x^(2) +8x+y^(2)+8y=0

Using completing the square method,


(x+(8)/(2) )^(2) - ((8)/(2))^(2) + (y+(8)/(2) )^(2) - ((8)/(2))^(2) =0

Simplify,


(x+4 )^(2) -16 + (y+4)^(2) -16 =0\\\\(x+4 )^(2) + (y+4)^(2)= (4√(2))^(2)

Therefore the center of circle is (-4,-4) and the radius is
4√(2) =5.66

User Rraphael
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