Question

What are the solutions of the equation (−25)2=36?

Answer 1

Given the following question:

`(x-25)^2=36`

To find the answer we are going to have to use inverse of operations to isolate the variable.

`\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*6 \\ 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}`

Your two solutions are "x = 19, and x = 31."