15:
a: DKXĐ: x>=0; x<>4
\(PT\Leftrightarrow\sqrt{x}-1=3\left(\sqrt{x}-2\right)=3\sqrt{x}-6\)
=>\(-2\sqrt{x}=-5\)
=>căn x=5/2
=>x=25/4
b: ĐKXĐ: x>=0; x<>1
\(PT\Leftrightarrow2\left(\sqrt{x}+1\right)=\sqrt{x}-1\)
=>\(2\sqrt{x}+2-\sqrt{x}+1=0\)
=>\(\sqrt{x}+3=0\)(vô lý)
c: ĐKXĐ: x>=0; x<>4
\(PT\Leftrightarrow\sqrt{x}+10=-2\left(\sqrt{x}-2\right)=-2\sqrt{x}+4\)
=>\(\sqrt{x}+2\sqrt{x}=4-6=-6\)
=>3*căn x=-6(vô lý)
d: ĐKXĐ: x>=0
\(PT\Leftrightarrow3x+\sqrt{x}=3\sqrt{x}+5\)
=>\(3x-2\sqrt{x}-5=0\)
=>\(\left(3\sqrt{x}-5\right)\left(\sqrt{x}+1\right)=0\)
=>3*căn x-5=0
=>x=25/9