SOLUTION: Find the equations of circles which are tangent to the x-axis, with radius of 5 units and passing through the point (0,8)

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Question 857800: Find the equations of circles which are tangent to the x-axis, with radius of 5 units and passing through the point (0,8)
Found 2 solutions by Alan3354, richwmiller:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
find the equations of circles which are tangent to the x-axis, with radius of 5 units and passing through the point (0,8)
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There are 2 of them. Their centers are on the circle with a center at (0,8) and 5 units from the x-axis --> on the line y = 5
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x%5E2+%2B+%28y-8%29%5E2+=+25
y = 5
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x%5E2+%2B+%285-8%29%5E2+=+25
x%5E2+=+16
x = -4, +4
--> Center @ (-4,5)
%28x%2B4%29%5E2+%2B+%28y-5%29%5E2+=+25
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Center @ (4,5)
%28x-4%29%5E2+%2B+%28y-5%29%5E2+=+25

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
(x+4)^2+(y-5)^2 = 25 which is also x^2+8x+y^2-10y+16 = 0
(x-4)^2+(y-5)^2 = 25 which is also x^2-8x+y^2-10y+16 = 0