Question

[Thanh Nguyễn]

giải pt:

\(\dfrac{1}{2}\sqrt{x-2}-4\sqrt{\dfrac{4x-8}{9}}+\sqrt{9x+18}-5=0\)

Tìm x thỏa mãn:

\(\left(\sqrt{x}+1\right)\dfrac{\sqrt{x}+2}{\sqrt{x}+1}-\sqrt{x}-4\sqrt{x-1}+26=-6x+10\sqrt{5x}\)

Answer 1

[Nguyễn Lê Phước Thịnh]

Câu 1: 

\(\Leftrightarrow\dfrac{1}{2}\sqrt{x-2}-\dfrac{8}{3}\sqrt{x-2}+3\sqrt{x-2}-5=0\)

=>\(\dfrac{5}{6}\sqrt{x-2}=5\)

=>căn x-2=5:5/6=6

=>x-2=36

=>x=38