Question

Giải phương trình:

\(5\left(\sqrt{x}-2\right)+4\sqrt{x}=8-3\sqrt{x}\)

Answer 1

ta có : \(5\left(\sqrt{x}-2\right)+4\sqrt{x}=8-3\sqrt{x}\)

\(\Leftrightarrow5\sqrt{x}-10+4\sqrt{x}-8+3\sqrt{x}=0\Leftrightarrow12\sqrt{x}-18=0\)

\(\Leftrightarrow\sqrt{x}=\dfrac{18}{12}=\dfrac{3}{2}\Leftrightarrow x=\dfrac{9}{4}\) vậy \(x=\dfrac{9}{4}\)

Answer 2

\(5\left(\sqrt{x}-2\right)+4\sqrt{x}=8-3\sqrt{x}\)

\(\Leftrightarrow5\sqrt{x}-10+4\sqrt{x}=8-3\sqrt{x}\)

\(\Leftrightarrow5\sqrt{x}+4\sqrt{x}+3\sqrt{x}=10+8\)

\(\Leftrightarrow18\sqrt{x}=18\)

\(\Leftrightarrow\sqrt{x}=1\)

\(\Leftrightarrow x=1\)