Question

If the distance between two points $(x,7)$ and $(1,15)$ is $10$, find the values of $x$?

Answer 1

$\sqrt{(x-1{)}^2+(7-15{)}^2}=10(x-1{)}^2+64=100(x-1{)}^2=36x-1=\pm 6Hencex=7orx=-5$