solve the inequality

(X-8)^2 (x^2+1)<0

Write your answer as an interval or union of intervals.

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since x^2+1>0, and (x-8)^2 >=0,

(X-8)^2 (x^2+1)>=0,

thus the inequality (X-8)^2 (x^2+1)<0 has no solution, thus the solution set is empty set

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