Question

Giải các phương trình sau:

\(\sqrt{x-3}\) + \(\sqrt{4x-12}\) = 6

Answer 1

\(\sqrt{x-3}+\sqrt{4x-12}=6\left(đk:x\ge3\right)\)

\(\Leftrightarrow\sqrt{x-3}+2\sqrt{x-3}=6\)

\(\Leftrightarrow3\sqrt{x-3}=6\Leftrightarrow\sqrt{x-3}=2\)

\(\Leftrightarrow x-3=4\Leftrightarrow x=7\left(tm\right)\)

Answer 2

\(\sqrt{x-3}+\sqrt{4x-12}=6\)đk : x >= 3 

\(\Leftrightarrow\sqrt{x-3}+2\sqrt{x-3}=6\Leftrightarrow3\sqrt{x-3}=6\Leftrightarrow\sqrt{x-3}=2\)

\(\Leftrightarrow x-3=4\Leftrightarrow x=7\)