Given:
Consider the given equation is
[tex](x-18)^2=1[/tex]
To find:
The values of x.
Solution:
We have,
[tex](x-18)^2=1[/tex]
Taking square root on both sides, we get
[tex]x-18=\pm\sqrt{1}[/tex]
[tex]x-18=\pm 1[/tex]
Adding 18 on both sides, we get
[tex]x-18+18=\pm 1+18[/tex]
[tex]x=\pm 1+18[/tex]
Now,
[tex]x=1+18[/tex] and [tex]x=-1+18[/tex]
[tex]x=19[/tex] and [tex]x=17[/tex]
Therefore, the correct option is A.
