The Given equation is (x-7)^4/3 =1, which on cubing both sides would yield (x-7)^4 =1.

This is an equation of degree 4 and would give 4 roots of x, as derived below

(x-7)^4 =1

Or, (x-7)^2= 1 and (x-7)^2 = -1

Or, x-7= 1, -1 and x-7 = i , -i

Or, x = 8 , 6 and x= 7 + i , 7-i

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