Question

What are the solutions to the equation x - 21 squared equals 25

Answer 1

`x=16;x=26`

Step-by-step explanation

We want to solve the equation:

`(x-21)^2=25`

To do this, find the square root of both sides of the equation:

`\sqrt[]{(x-21)^2}=\sqrt[]{25}`

This will yield two results:

`\begin{gathered} \Rightarrow x-21=5 \\ \Rightarrow x-21=-5 \end{gathered}`

Solving the two equations, we have:

`\begin{gathered} \Rightarrow x=5+21 \\ x=26 \\ \Rightarrow x=-5+21 \\ x=16 \end{gathered}`

The solutions are:

`x=16,x=26`