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)

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) (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

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