Answer :
[tex] x^2 = 169 \ \ | -169 \\ \\x^2 - 169 =169-169\\ \\x^2-13^2=0\\ \\(x-13)(x+13)=0\\ \\x-13 = 0 \ \ or \ \ x+13 =0 \\ \\ x=13 \ \ or \ \ x= -13[/tex]
Since you are finding what number doubled equals 169 you have to find the square root of 169 which is 13 because 13 times 13 equals 169