\(H=\dfrac{\sqrt{x}}{x-1}+\dfrac{\sqrt{x}}{\sqrt{x}+1}\)
\(H=\dfrac{\sqrt{x}}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}+\dfrac{\sqrt{x}}{\sqrt{x}+1}\)
\(H=\dfrac{\sqrt{x}+\sqrt{x}\left(\sqrt{x}-1\right)}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\)
\(H=\dfrac{\sqrt{x}+x-\sqrt{x}}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\)
\(H=\dfrac{x}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\)
\(H=5\)
\(\Leftrightarrow\dfrac{x}{x-1}=5\)
\(\Leftrightarrow x=5x-5\)
\(\Leftrightarrow x=\dfrac{5}{4}\left(tm\right)\)
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