SOLUTION: Find the coordinates of the points lying on the x-axis, P (x, 0), when the distance between points P and A (3, 4 ) is 5

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Question 775320: Find the coordinates of the points lying on the x-axis, P (x, 0), when the distance between points P and A (3, 4 ) is 5
Answer by reviewermath(1029) About Me  (Show Source):
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Q:
Find the coordinates of the points lying on the x-axis, P (x, 0), when the distance between points P and A (3, 4 ) is 5
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A:
Using distance formula:
sqrt%28%28x-3%29%5E2%2B%280-4%29%5E2%29+=+5, square both sides
%28x-3%29%5E2+%2B+16+=+25
%28x-3%29%5E2+=+9, get the square roots of both sides
x - 3 = ±3
x - 3 = 3 OR x - 3 = -3
x = 6 OR 0
Answers: (6,0) and (0,0)