Question 99970
Square both sides,gives you 2x-1=((4x-1)SQRT-1)*((4x-1)SQRT-1)
  gives you 2x-1= (4x-1)+1-2(4x-1)SQRT, move everything to one side
of the problem and square the following again. SQRT means the previous to the square root.
(2x-1)-(4x-1) -1 = -2(4x-1)SQRT
Divide each side by -2 before squareing again.
This gives you XSQ + 1/4 + X = 4X-1  after squaring(sq means square)
move everything to one side.
Xsq -3x +5/4 = 0 
Multiply by 4, this gives you 4Xsq - 12X + 5=0
this breaks down to (2x - 1)(2x - 5)=0
so x=-1/2 and x=2/5