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CBSE Class 9 Answered

x squared plus 1 over x squared equals 14 comma space f i n d space t h e space space x cubed plus 1 over x cubed space
Asked by kishor.kp14 | 19 Jun, 2019, 09:44: AM
answered-by-expert Expert Answer
begin mathsize 16px style We space know space that comma open parentheses straight x space plus space 1 over straight x close parentheses squared space equals straight x squared space plus space 1 over straight x squared space plus 2 rightwards double arrow space open parentheses straight x space plus space 1 over straight x close parentheses squared space equals 14 space plus 2 space space space space space space space space space space space space space space..... space space space since space straight x squared space plus space 1 over straight x squared space equals space 14 space rightwards double arrow space open parentheses straight x space plus space 1 over straight x close parentheses squared space equals 16 space Taking space square space root space on space both space the space sides comma space we space get rightwards double arrow space straight x space plus space 1 over straight x space equals space plus-or-minus 4 We space know space that comma straight x cubed space plus space 1 over straight x cubed space equals space open parentheses straight x space plus space 1 over straight x close parentheses open parentheses straight x squared space plus space 1 over straight x squared space minus space 1 close parentheses equals space plus-or-minus 4 open parentheses 14 space minus space 1 close parentheses space equals space plus-or-minus 4 cross times space 13 rightwards double arrow straight x cubed space plus space 1 over straight x cubed space equals space 4 space cross times space 13 space equals space 52 space space or space straight x cubed space plus space 1 over straight x cubed space equals space minus 4 space cross times space 13 space equals space minus 52 end style
Answered by Yasmeen Khan | 19 Jun, 2019, 10:03: AM

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