Given the following question:
[tex](x-25)^2=36[/tex]To find the answer we are going to have to use inverse of operations to isolate the variable.
[tex]\begin{gathered} (x-25)^2=36 \\ (x-25)^2=36=x-25=\sqrt[]{36} \\ x-25=\sqrt[]{36} \\ -25+25=0 \\ \sqrt[]{36}=6=6\times6 \\ 6+26=31 \\ x=31 \\ x-25=-\sqrt[]{36} \\ -\sqrt[]{36}=6i \\ x-25=6i \\ -25+25=0 \\ 6i+25=19 \\ x=19 \\ x=31 \end{gathered}[/tex]Your two solutions are "x = 19, and x = 31."