Giải phương trình

Question

\(2\sqrt{x+5}=x+5\)

Answer 1

\(2\sqrt{x+5}=x+5(x\geq-5)\\\Leftrightarrow2\sqrt{x+5}-(x+5)=0\\\Leftrightarrow\sqrt{x+5}(2-\sqrt{x+5})=0\\\Leftrightarrow\left[\begin{matrix} \sqrt{x+5}=0\\ 2-\sqrt{x+5}=0\end{matrix}\right.\\\Leftrightarrow \left[\begin{matrix} x=-5\\ x=-1\end{matrix}\right.\)