If(x+1/x)whole  square=3,find x cube+1/x cube

Asked by Aryan | 2nd Jul, 2017, 07:30: PM

Expert Answer:

begin mathsize 16px style open parentheses straight x plus 1 over straight x close parentheses squared equals 3
rightwards double arrow straight x squared plus 1 over straight x squared plus 2 equals 3
rightwards double arrow straight x squared plus 1 over straight x squared minus 1 equals 0 space space space.... left parenthesis straight i right parenthesis
Consider comma
straight x cubed plus 1 over straight x cubed equals open parentheses straight x plus 1 over straight x close parentheses open parentheses straight x squared minus 1 plus 1 over straight x squared close parentheses
space space space space space space space space space space space space space equals open parentheses straight x plus 1 over straight x close parentheses open parentheses 0 close parentheses space space space.... left parenthesis from space left parenthesis straight i right parenthesis right parenthesis
space space space space space space space space space space space space space equals 0 end style

Answered by Rebecca | 2nd Jul, 2017, 11:09: PM