If x + 1/x = route over(3), find  the value of 1. (x)3 + 1/(x)3 and 2. (x)6 - 1/(x)6

Asked by Arkajyoti Banerjee | 7th Jun, 2014, 11:41: PM

Expert Answer:

x plus 1 over x equals square root of 3  C u b e space t h e space a b o v e space e q u a t i o n space o n space b o t h space s i d e s comma space w e space g e t  open vertical bar a plus b close vertical bar cubed equals a cubed plus b cubed plus 3 a squared b plus 3 a b squared  open parentheses x plus 1 over x close parentheses cubed equals x cubed plus 1 over x cubed plus 3 x squared cross times 1 over x plus 3 x cross times 1 over x squared equals open parentheses square root of 3 close parentheses cubed x cubed plus 1 over x cubed plus 3 x plus 3 over x equals 3 square root of 3 x cubed plus 1 over x cubed plus 3 open parentheses x plus 1 over x close parentheses equals 3 square root of 3 s u b t i t u t e space t h e space v a l u e space o f space x plus 1 over x space f r o m space g i v e n space e q a u t i o n comma space w e space g e t  x cubed plus 1 over x cubed equals 3 square root of 3 minus 3 square root of 3 equals 0

Answered by Dharma Teja | 9th Jun, 2014, 10:34: AM

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