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)
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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^2 + (y-8)^2 = 25}}}
y = 5
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{{{x^2 + (5-8)^2 = 25}}}
{{{x^2 = 16}}}
x = -4, +4
--> Center @ (-4,5)
{{{(x+4)^2 + (y-5)^2 = 25}}}
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Center @ (4,5)
{{{(x-4)^2 + (y-5)^2 = 25}}}