SOLUTION: Find all the points on the x-axis that are a distance of 13 units from (12,5)

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Question 1043674: Find all the points on the x-axis that are a distance of 13 units from (12,5)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The points on the x-axis are all ordered pairs, (x,0).

Distance Formula,
sqrt%28%28x-12%29%5E2%2B%280-5%29%5E2%29=13


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ADDITIONAL COMMENTS

Any points ON THE x-AXIS would be y=0, and no restrictions are made for the values of x, so the x-axis, shown as an ordered pair, will be (x,0).

Find points (x,0) which are 13 units from (12,5).
This will use, with the given symbolism, the Distance Formula:
sqrt%28%28x-12%29%5E2%2B%280-5%29%5E2%29=13
SOLVE FOR x.
You should expect to find TWO values.

sqrt%28%28x-12%29%5E2%2B25%29=13
%28x-12%29%5E2=25=169
%28x-12%29%5E2=169-25=144
Finish this!