Question 417384
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Hi
Solve by factoring 
{{{(w-13)^2 =16}}}    |Note use of ^ (uppercase 6 on Your keyboard)
   w^2 - 26x + 169 = 16
  w^2 -26x + 153
  (w-9)(w-17) = 0
  (w-9)= 0    w = 9
  (w-17)= 0   w = 17

CHECKING our Answer***
   w-13 = ± 4
    w = 13 ± 4