First, let's subtract x^1/2 from both sides to 'clean it up' a bit
1/6 - 3 = x^(1/2) then do the math on the left side
- 2 5/6 = sqrt x
-17/6 = sqrt x Square both sides
289/36 =x (NOTE that 'x' has TWO sq roots - 17/6 AND + 17/6)
This equation only works when sqrt x = -17/6