Answer
no solution
Work Step by Step
The second line of the given solultion is wrong because when $4$ was transposed from the left side to the right side, it should become $-4$ and the right side simplifies to $-3$ (not $5$.) Hence, the correct solution is as follows:
\begin{array}{l}\require{cancel}
\sqrt{2x+3}+4=1
\\
\sqrt{2x+3}=1-4
\\
\sqrt{2x+3}=-3
.\end{array}
For any $x,$ the left side of the equation above always results to a nonnegative number. This will NEVER be equal to the negative number on the right side. Hence, there is no solution.
