Question

What is the solution set for `(3x - 1)2 = 5`?

Answer 1

I think you mean `(3x-1)^2=5`

Explanation:

In that case there are two solutions:
(1)
`3x-1=+sqrt5->x=(1+sqrt5)/3`
(2)
`3x-1=-sqrt5->x=(1-sqrt5)/3`

Sometimes this is summarised as:
`3x-1=+-sqrt5->x_(1,2)=(1+-sqrt5)/3`