SOLUTION: Find all the points on the x-axis that are 5 units from the point (4,-3)

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Question 258575: Find all the points on the x-axis that are 5 units from the point (4,-3)
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
THere are at least two ways to solve this. Here is one of them: What we have here is a circle in disguise with center (4,-3) and radius 5. Its equation is
%28x-4%29%5E2%2B%28y%2B3%29%5E2+=+5%5E2
since we want coordinates on the x-axis, set y = 0 and solve for x like this
%28x-4%29%5E2%2B%280%2B3%29%5E2+=+5%5E2
%28x-4%29%5E2%2B9+=+25
%28x-4%29%5E2=16
take a square root to get
x-4 = +-5
So,
x = 9
OR
x = -1
This means that (9,0) and (-1,0) is 5 units from (4,-3)