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

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Question 894249: Find all points on the x-axis that are 5 units from the point (4,-3)
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q:
Find all points on the x-axis that are 5 units from the point (4,-3)
A:
We want to find all x such that the distance between the points (x, 0) and (4, -3) is equal to 5.
sqrt%28%284+-+x%29%5E2+%2B+%28-3+-+0%29%5E2%29+=+5
Square both sides
%284+-+x%29%5E2+%2B+%28-3+-+0%29%5E2+=+25
%284+-+x%29%5E2+=+16
Get the square root of both sides
4 - x = 4 or 4 - x = -4
x = 0 or 8
The points on the x-axis are (0, 0) and (8, 0).