Question 77187
you mean...

{{{sqrt(x+4)-2sqrt(x-1)=-1}}}

{{{sqrt(x+4)+1 = 2sqrt(x-1)}}}

{{{(sqrt(x+4)+1)^2 = (2sqrt(x-1))^2}}}

{{{x+4 + 2sqrt(x+4) +1 = 4(x-1)}}}

{{{2sqrt(x+4)  = 4x-4 - x-4 -1}}}

{{{sqrt(x+4)  = (3x-9)/2 }}}

{{{(sqrt(x+4))^2  = ((3x-9)/2)^2 }}}


{{{x+4  = ((3x-9)^2)/(2^2) }}}

{{{x+4  = (9x^2-54x+81)/4 }}}

{{{4x+16  = 9x^2-54x+81 }}}

{{{9x^2-58x+65  = 0 }}}

{{{9x^2-45x-13x+65  = 0 }}}

{{{9x(x-5)-13(x-5)  = 0 }}}

{{{(x-5)(9x-13)  = 0 }}}

so  {{{x=5  or x=13/9 = 1.444444 }}}