Keerthana
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If x1x=5x-frac{1}{x}=5, then x2+1x2x^{2}+frac{1}{x^{2}} is :

a

23

b

5

c

25

d

27

Answer : Option D
Explanation :

x1x=5x-frac{1}{x}=5

On squaring both sides, x2+1x22=25x^{2}+frac{1}{x^{2}}-2=25

x2+1x2=27Rightarrow x^{2}+frac{1}{x^{2}}=27

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