if x-1/x=6
find i) x²+1/x²
ii) x+1/x
iii) x³-1/x³
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Answer:
So we start solving like:
x+1x=3
(x+1x)3=33
x3+3.x2.1x+3.x.1x2+1x3=27
(x3+1x3)+3.x2.1x+3.x.1x2=27
x3+1x3+(3x+3x)=27
x3+1x3+3(x+1x)=27
x3+1x3+3×3=27
x3+1x3+9=27
x3+1x3=18
Therefore the answer is 18
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