Question 397630
{{{(x-4)^4= 81}}}
==> {{{(x-4)^4 - 81=0}}}
<==> {{{((x-4)^2 - 9)((x-4)^2 + 9) = 0}}}
<==>  (x-  4-3)(x - 4 +3)(x -4 - 3i)(x - 4 + 3i) = 0
<==> (x -7)(x -1)(x -4 - 3i)(x - 4 + 3i) = 0
Then the solutions to the original equation are (including imaginary roots) are 
7,1, 4 + 3i, 4 - 3i.