X+(1/X)=2 , THEN FIND THE VALUE OF [X^7+(1/X)^7]

Asked by debabratap261 | 22nd Mar, 2019, 01:59: PM

Expert Answer:

begin mathsize 16px style straight x plus 1 over straight x equals 2 space space.... left parenthesis straight i right parenthesis
open parentheses straight x plus 1 over straight x close parentheses squared equals 4
straight x squared plus 2 plus 1 over straight x squared equals 4
straight x squared plus 1 over straight x squared equals 2..... left parenthesis ii right parenthesis
open parentheses straight x plus 1 over straight x close parentheses cubed equals 8
straight x cubed plus 3 straight x cross times 1 over straight x open parentheses straight x plus 1 over straight x close parentheses plus 1 over straight x cubed equals 8
straight x cubed plus 1 over straight x cubed plus 3 cross times 2 equals 8 space space space space space space space space space space space space space space space space space space from space left parenthesis straight i right parenthesis
straight x cubed plus 1 over straight x cubed equals 2..... left parenthesis iii right parenthesis
From space left parenthesis straight i right parenthesis comma space left parenthesis ii right parenthesis space and space left parenthesis iii right parenthesis space we space can space say space that space straight x to the power of 7 plus 1 over straight x to the power of 7 equals 2 end style

Answered by Sneha shidid | 22nd Mar, 2019, 02:37: PM

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