Question 984164
In other words, what is  the unknown point  (x,0) which is the same distance from  (3,-4) as it is from  (8,5).


Use the distance formula to equate distances from (x,0) to (3,-4); and from (x,0) to (8,5).


{{{sqrt((x-3)^2+(0-(-4))^2)=sqrt((x-8)^2+(0-5)^2)}}}


Watch signs and minuses carefully, and solve this equation for x.