(i) fx-(1/x)=8, find x^ 3 -(1/x^ 3 ).
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1) Given, x - 1/x = 8
Use / ((x - 1/x) ^ 2) = x ^ 2 + 1/(x ^ 2) - 2
(8)^ 2 =x^ 2 + 1 x^ 2 -2
Rightarrow64+2=x + 1
Rightarrow x^ 2 + 1 x^ 2 =66
Step-by-step explanation:
2) Hence, the answer is 36
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