Question

\(\sqrt{2x-5}=\sqrt{3x-13}\)

Answer 1

\(ĐK:x\ge\dfrac{13}{3}\\ PT\Leftrightarrow2x-5=3x-13\\ \Leftrightarrow x=8\left(tm\right)\)

Answer 2

\(\sqrt{2x-5}=\sqrt{3x-13}\)

\(\Leftrightarrow3x-13=2x-5\)

hay x=8

Answer 3

\(\sqrt{2x-5}=\sqrt{3x-13}\left(ĐK:x\ge\dfrac{13}{3}\right)\)

<=> \(\left(\sqrt{2x-5}\right)^2=\left(\sqrt{3x-13}\right)^2\)

<=> \(\left|2x-5\right|=\left|3x-13\right|\)

<=> \(\left[{}\begin{matrix}2x-5=3x-13\\2x-5=-3x=13\end{matrix}\right.\)

<=> \(\left[{}\begin{matrix}x=8\left(tm\right)\\x=\dfrac{18}{5}\left(tm\right)\end{matrix}\right.\)