SOLUTION: Find all points on the​ x-axis that are 6 units from the point (2,-3).

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Question 1123303: Find all points on the​ x-axis that are 6 units from the point (2,-3).
Answer by ikleyn(52858) About Me  (Show Source):
You can put this solution on YOUR website!
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Make a sketch.


Identify two right angled triangles in the sketch.


Each of these triangles has one leg of 3 units long and the hypotenuse of 6 units long.


Then the other leg of these triangles is  sqrt%286%5E2-+3%5E2%29 = sqrt%2827%29 = 3%2Asqrt%283%29 units long.


So the points on the x-axis are  2%2B3%2Asqrt%283%29  and  2-3%2Asqrt%283%29.

Solved.