SOLUTION: P is a point on the x-axis that is 13 units from the point (-3,5).Find all the possible coordinate for p

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Question 1094343: P is a point on the x-axis that is 13 units from the point (-3,5).Find all the possible coordinate for p
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the point on the x-axis be ( x[1], 0 )
Use distance formula to find distance
from ( -3,5 )
+13%5E2+=+%28+x%5B1%5D+-%28-3%29+%29%5E2+%2B+%28+0+-+5+%29%5E2+
+169+=+%28+x%5B1%5D+%2B+3+%29%5E2+%2B+25+
+%28+x%5B1%5D+%2B+3+%29%5E2+=+12%5E2+
Take the square root of both sides
+x%5B1%5D+%2B+3+=+12+
+x%5B1%5D+=+9+
and, taking negative square root,
+x%5B1%5D+%2B+3+=+-12+
+x%5B1%5D+=+-15+
-----------------------
The possible points for P are:
( 9, 0 ) and
( -15,0 )
---------------------------
check:
+%28+x%5B1%5D+%2B+3+%29%5E2+=+144+
+%28+-15+%2B+3+%29%5E2+=+144+
+12%5E2+=+144+
OK
and
+%28+9+%2B+3+%29%5E2+=+144+
+12%5E2+=+144+
OK