Answer:
Option 2nd is correct.
[tex]x=4 \pm\sqrt{36}[/tex]
Step-by-step explanation:
Given the equation:
[tex](x-4)^2=36[/tex]
Taking square root both sides we have;
[tex]\sqrt{(x-4)^2} = \pm\sqrt{36}[/tex]
Simplify:
[tex]x-4= \pm\sqrt{36}[/tex]
Add 4 to both sides we get;
[tex]x=4 \pm\sqrt{36}[/tex]
Therefore, the following expressions represents the solutions to the given equation is,
[tex]x=4 \pm\sqrt{36}[/tex]
