SOLUTION: Find two points on the x-axis that are 10 units from point (1,8).

Question 983030: Find two points on the x-axis that are 10 units from point (1,8).
Found 3 solutions by josgarithmetic, solver91311, macston:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
That means y=0.
You want some points (x,0), two different x.

Distance formula with the coordinate values substituted,

x=7 or x=5.
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!

If the two points are on the -axis, then they must have coordinates and . Further, the following must be true:

This will reduce to a quadratic and the two roots will be the missing -coordinates.

John

My calculator said it, I believe it, that settles it

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.
This forms two right triangles with height (b)=8 and hypotenuses (c)=10.
The other legs will be the distance (a) on the x axis from point (1,0)

a=plus or minus 6
So the two points are (1+6,0) and (1-6,0) or (7,0) and (-5,0)
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