NMTC 2015 junior Q1

Algebra Level 4

The number of real solutions xx of the equationx13+x33+x53=0 \sqrt [ 3 ]{ x-1 } +\sqrt [ 3 ]{ x-3 } +\sqrt [ 3 ]{ x-5 } =0 is:

Note: The function f(x)=x1/3f(x) = x^{1/3} is defined for all real numbers xx.


This is a problem of set NMTC 2015
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