How to solve the distance formula for the variable x?

Question

I need to solve the distance formula for the variable x. So the asnwer should be x=???.

Answer 1

If you mean the formula : r = sqrt[(x - x1)^2 + (y - y1)^2]

then square both sides :

r^2 = (x - x1)^2 + (y - y1)^2

Rearrange :

(x - x1)^2 = r^2 - (y - y1)^2

Take the square root of both sides :

x - x1 = ± sqrt[r^2 - (y - y1)^2]

Add x1 to both sides :

x = x1 ± sqrt[r^2 - (y - y1)^2]