SOLUTION: Find the coordinates of a point(x,y) on the line y=x+4 which is the root of 106 units away from (0,0)

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Question 179972: Find the coordinates of a point(x,y) on the line y=x+4 which is the root of 106 units away from (0,0)
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The first thing you need is the distance formula.

The distance, D, between two points and is given by:



In this problem you are given the distance, namely and one of the points, namely . Furthermore, you know that for any point on the given line, , hence the second point is .

Now substitute what we know into the distance formula:



Square both sides:



Simplify:









Leaving you with a factorable quadratic that you should be able to solve easily. Note that you will ultimately have two answers to the original problem.


John