A) \[0\]
B) \[-\,2\]
C) \[1\]
D) \[2\]
Correct Answer: B
Solution :
[b] \[a+\frac{1}{a}+2=0\] \[\Rightarrow \] \[{{a}^{2}}+1+2a=0\] \[\Rightarrow \] \[{{(a+1)}^{2}}=0\] \[\Rightarrow \] \[a=-1\] \[\therefore \] \[{{a}^{37}}-\frac{1}{{{a}^{100}}}=-1-\left( \frac{1}{1} \right)=-1-1=-2\] |
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