SOLUTION: Find all points on the x-axis 5 units away from the points (-2,-4)

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Question 1017415: Find all points on the x-axis 5 units away from the points (-2,-4)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find all points on the x-axis 5 units away from the points (-2,-4)
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One approach:
Find the intersections of the x-axis and the circle of radius r centered at (-2,-4)
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%28x%2B2%29%5E2+%2B+%28y%2B4%29%5E2+=+5%5E2 and y = 0
--> %28x%2B2%29%5E2+%2B+4%5E2+=+25
x%5E2+%2B+4x+%2B+4+=+9
x%5E2+%2B+4x+-+5+=+0
(x+5)*(x-1) = 0
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x = -5
--> point (-5,0)
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x = 1
--> point (1,0)