Đáp án: \(x \ge 1;x \ne \left\{ {2;3} \right\}\) Giải thích các bước giải: \(\begin{array}{l}a.DK:\left\{ \begin{array}{l}x \ge 0\\x – 1 \ge 0\\\sqrt {x – 1} – \sqrt 2 \ne 0\\\sqrt {2x} – x \ne 0\end{array} \right.\\ \to \left\{ \begin{array}{l}x \ge 1\\2 \ne x – 1\\\sqrt x \left( {\sqrt 2 – \sqrt x } \right) \ne 0\end{array} \right.\\ \to \left\{ \begin{array}{l}x \ge 1\\x \ne 3\\x \ne 0\\x \ne 2\end{array} \right.\\ \to x \ge 1;x \ne \left\{ {2;3} \right\}\end{array}\) Reply
Đáp án:
\(x \ge 1;x \ne \left\{ {2;3} \right\}\)
Giải thích các bước giải:
\(\begin{array}{l}
a.DK:\left\{ \begin{array}{l}
x \ge 0\\
x – 1 \ge 0\\
\sqrt {x – 1} – \sqrt 2 \ne 0\\
\sqrt {2x} – x \ne 0
\end{array} \right.\\
\to \left\{ \begin{array}{l}
x \ge 1\\
2 \ne x – 1\\
\sqrt x \left( {\sqrt 2 – \sqrt x } \right) \ne 0
\end{array} \right.\\
\to \left\{ \begin{array}{l}
x \ge 1\\
x \ne 3\\
x \ne 0\\
x \ne 2
\end{array} \right.\\
\to x \ge 1;x \ne \left\{ {2;3} \right\}
\end{array}\)