Question

\(\sqrt{8x-4}-12\sqrt{\dfrac{2x-1}{9}}+\sqrt{18x-9}=5\)

Answer 1

\(\Rightarrow\sqrt{4\left(2x-1\right)}-12\dfrac{\sqrt{2x-1}}{3}+\sqrt{9\left(2x-1\right)}=5\)

\(\Rightarrow2\sqrt{2x-1}-4\sqrt{2x-1}+3\sqrt{2x-1}=5\)

\(\Rightarrow\sqrt{2x-1}=5\)\(\Rightarrow2x-1=25\)

\(\Rightarrow2x=26\Rightarrow x=13\)

Answer 2

Ta có: \(\sqrt{8x-4}-12\sqrt{\dfrac{2x-1}{9}}+\sqrt{18x-9}=5\)

\(\Leftrightarrow2\sqrt{2x-1}+3\sqrt{2x-1}-4\sqrt{2x-1}=5\)

\(\Leftrightarrow2x-1=25\)

\(\Leftrightarrow2x=26\)

hay x=13