Respuesta :

The given equation is:

[tex](x-7)^2=9[/tex]

Taking the square-root of both sides, we have:

[tex]\sqrt[]{(x-7)^2}=\sqrt[]{9}[/tex]

This becomes:

[tex]\begin{gathered} x-7=\pm3 \\ x=\pm3+7 \\ x=+3+7 \\ x=10 \\ OR \\ x=-3+7 \\ x=4 \end{gathered}[/tex]