2:
a: ĐKXĐ: x>=-1
\(5\sqrt{9x+9}-2\sqrt{4x+4}+\sqrt{x+1}=36\)
=>\(15\sqrt{x+1}-4\sqrt{x+1}+\sqrt{x+1}=36\)
=>\(12\sqrt{x+1}=36\)
=>\(\sqrt{x+1}=3\)
=>x+1=9
=>x=8(nhận)
b: ĐKXĐ: \(x\in R\)
\(\sqrt{4x^2-4x+1}=x+1\)
=>\(\left|2x-1\right|=x+1\)
=>\(\left\{{}\begin{matrix}x+1>=0\\\left(2x-1\right)^2=\left(x+1\right)^2\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}x>=-1\\\left(2x-1-x-1\right)\left(2x-1+x+1\right)=0\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}x>=-1\\\left(x-2\right)\cdot3x=0\end{matrix}\right.\Leftrightarrow x\in\left\{0;2\right\}\)
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