Question

Answer 1

\(ĐK:x\ge3\\ PT\Leftrightarrow2\sqrt{x-3}-\sqrt{x-3}=2\\ \Leftrightarrow\sqrt{x-3}=2\Leftrightarrow x-3=4\Leftrightarrow x=7\left(tm\right)\)

Answer 2

\(\sqrt{4x-12}=\sqrt{x-3}+2\left(x\ge3\right)\)

<=> \(2\sqrt{x-3}=\sqrt{x-3}+2\)

<=> \(\sqrt{x-3}=2< =>x=7\left(tm\right)\)

Answer 3

\(\sqrt{4x-12}=\sqrt{x-3}+2\) ĐK: \(x\ge3\)

<=> \(\sqrt{2^2x-2^2.3}=\sqrt{x-3}+2\)

<=> \(2\sqrt{x-3}=\sqrt{x-3}+2\)

<=> \(2\sqrt{x-3}-\sqrt{x-3}=2\)

<=> \(\sqrt{x-3}=2\)

<=> x - 3 = 4

<=> x = 7 (tm)