Question

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

Answer 1

ANSWER

$x=16;x=26$

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:

$x=16,x=26$