Question

Answer 1

`@` `\text {Ans}`

`\downarrow`

`6 \sqrt {2x+3} = \sqrt {96}`

`=> 6 \sqrt {2x+3} = 4 \sqrt {6}`

`=> \sqrt {2x+3} = (4 \sqrt {6})/6`

`=> 2x+3= ((4 \sqrt {6})/6)^2`

`=> 2x+3=8/3`

`=> 2x=8/3- 3`

`=> 2x=-1/3`

`=> x=-1/6`

Answer 2

\(6\sqrt{2x+3}=\sqrt{96}\)

\(\Leftrightarrow6\sqrt{2x+3}=4\sqrt{6}\)

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

\(\Leftrightarrow\sqrt{18x+27}=\sqrt{24}\)

\(\Leftrightarrow18x+27=24\)

\(\Leftrightarrow18x=-3\)

\(\Leftrightarrow x=\dfrac{-3}{18}=-\dfrac{1}{6}\)