What is the x-coordinate of the point on the x-axis that is equidistant from points A(2,0) and B(0,6)?

Guest Aug 10, 2021

#2**+1 **

What is the x-coordinate of the point on the x-axis that is equidistant from points A(2,0) and B(0,6)?

**Hello Guest!**

The distance of the point on the x-axis from the origin is x.

Then the following applies:

\(-x+2=\sqrt{x^2+6^2}\ |\ square \\ x^2-4x+4=x^2+36\\ -4x=32 \)

\(x=-8\)

The x-coordinate of the point on the x-axis is -8.

!

asinus Aug 10, 2021