`(\sqrt{(2x+3)/(\sqrt{x+5})}-1)/(x-1)=1/2`

`-` ĐKXĐ :`{(x\ne1),(x>=0):}`

`<=>2(\sqrt{(2x+3)/(\sqrt{x+5})}-1)=x-1`

`<=>2\sqrt{(2x+3)/(\sqrt{x+5})}-2=x-1`

`<=>2\sqrt{(2x+3)/(\sqrt{x+5})}=x+1`

`<=>\sqrt{(2x+3)/(\sqrt{x+5})}=(x+1)/2`

`<=>(\sqrt{(2x+3)/(\sqrt{x+5})})^2=((x+1)/2)^2`

`<=>(2x+3)/(\sqrt{x+5})=((x+1)^2)/4`

`<=>4(2x+3)=(x+1)^2\sqrt{x+5}`

`<=>8x+12=(x+1)^2\sqrt{x+5}`

`<=>(8x+12)^2=(x+1)^4(x+5)`

`<=>64x^2+192x+144=(x^4+4x^3+6x^2+4x+1)(x+5)`

`<=>64x^2+192x+144=x^5+9x^4+26x^3+34x^2+21x++5`

`<=>x^5+9x^4+26x^3-30x^2-171x-139=0`

`<=>x^3[(x+9/2)^2+23/4]-(x+57/20)^2-4187/40]=0`

`<=>x~~2,83` (t/m)