Question

How do you solve `sqrt(-x) + 52 = 8`?

Answer 1

I would take the `52` to the right:
`sqrt(-x)=8-52`
Square both sides:
`(sqrt(-x))^2=(-44)^2`
`-x=1936`
`x=-1936`
BUT this solution, plugged back into your original equation, DOES NOT WORK.
I think your equation doesn't have REAL solutions.