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