The given expression is
[tex]100+(n-2)^2=149[/tex]First, we have to subtract 100 on each side
[tex]\begin{gathered} 100-100+(n-2)^2=149-100 \\ (n-2)^2=49 \end{gathered}[/tex]The reason for this first step is because we can't take a square root without getting rid of the terms 100, otherwise, the process would be wrong.