[bshep]

This doesnt make any sense: sqrt(2x+1) = sqrt(x) + 1

EDIT: Ahh I thought he was saying that he had factorized/simplified the left side into the right and it wasnt making any sense.

[SlyShy]

Solve for x: sqrt(2x + 1) = sqrt(x) + 1

  2x + 1 = x + 2sqrt(x) + 1
  x = 2sqrt(x)
  x^2 = 4x
  x^2 - 4x = 0
  x(x - 4) = 0
  x = 0 or 4

[chrjozefharibo]

I solved it numerically. x=4 or x=0

[XFrequentist]

Yes it does: x=4,0