Complete solution set of \(\left| {\frac{{{x^2}}}{{x - 1}}} \right| \le 1\) is given by 

1
(-∞, 1) ∪ (1, ∞)
2
\(\left[ {\frac{{ - 1 - \sqrt 5 }}{2},\frac{{ - 1 + \sqrt 5 }}{2}} \right]\)
3
\(\left[ {\frac{{ - 1 - \sqrt 5 }}{2},\frac{{ - 1 + \sqrt 5 }}{2}} \right] \cup \left( {1,\infty } \right)\)
4
\(\left[ {\frac{{ - 1 + \sqrt 5 }}{2},1} \right]\)

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