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# Find the center and radius? Show all steps please?

16x^2 + 16y^2 - 8x - 32y = 127

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- NickLv 68 years agoFavorite Answer
16x^2 + 16y^2 - 8x - 32y = 127

need to put in this form:

(x-h)^2+(y-k)^2=r^2

complete the square for x and y terms:

16x^2-8x+16y^2-32y=127

16(x^2-(1/2)x+1/16) + 16(y^2-2y+1) =127+1+16

16(x-(1/4))^2 + 16(y-1)^2 = 144

divide all terms by 16:

(x-(1/4))^2 + (y-1)^2 = 9

center = (1/4, 1)

radius = 3

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