Question 706075
Best guess is you want this?
{{{sqrt(2x-1)-1=sqrt(1-x)}}}


square both sides, {{{2x-1-2sqrt(2x-1)+1=1-x}}}
{{{2sqrt(2x-1)=3x-1}}}
Square both sides again,
.
{{{8x-4=9x^2-6x+1}}}
.
{{{highlight(9x^2-14x+5=0)}}}


Directly use quadratic formula solution:
{{{x=(14+sqrt(14^2-4*9*5))/(2*9)}}}  OR  {{{x=(14-sqrt(14^2-4*9*5))/(2*9)}}}
ANSWER:  {{{highlight(x=1)}}}  OR  {{{highlight(x=5/9)}}}