A) 83
B) 84
C) 85
D) 86
Correct Answer: A
Solution :
\[x-\frac{1}{x}=9\] Squaring both side \[\Rightarrow \]\[{{\left( x-\frac{1}{x} \right)}^{2}}={{(9)}^{2}}\] \[\Rightarrow \,\,{{x}^{2}}+\frac{1}{{{x}^{2}}}-2=81\] \[\therefore \]\[{{x}^{2}}+\frac{1}{{{x}^{2}}}=81+2=83\]
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