Please help me... I have awarded 30 points... Kindly answer question 'b'
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See attached picture for the answer to the question
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x - 1 / x =1/ 3
On cubing both sides ;
( x - 1 / x ) = (1/ 3 )³
Using Identity :
( a - b )³ = a³ - b³ - 3 ab ( a - b )
⇒ x³ - 1 / x³ - 3 ( x - 1 / x ) = 1/27
⇒ x³ - 1 / x³ - 3 ( 1/3 ) = 1/27
⇒ x³ - 1 / x³ - 1 = 1/27
⇒ x³ - 1 / x³ = 1/27 + 1
⇒ x³ - 1 / x³ = 28/27
Hence, the answer is 28/27
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