Hi

I'm working on some questions and I'm just unsure how one of the solutions work.

I'm given

x=1/2(u^2-v^2)

y=uv

z=z

and in the solution it is transformed into

u=[x+(x^2+y^2)^1/2]^1/2

v=[-x+(x^2+y^2)^1/2]^1/2

z=z

I'm unsure how it was transformed. The question says to use "inverse transformation" but I'm not sure what that is.

Thanks!