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Home / Doubts and Solutions/JUNIOR/Class 9/Mathematics

if x+1/7=7,find the value of xcube+1/7

Asked by Vishnu 25th May 2015, 9:13 PM
Answered by Expert
Answer:

begin mathsize 14px style straight x space plus space 1 over 7 equals 7 straight x cubed space plus space 1 over 7 equals space ? Taking space cube space on space both space the space sides comma open parentheses straight x space plus space 1 over 7 close parentheses cubed equals 7 cubed equals space straight x cubed plus open parentheses 1 over 7 close parentheses cubed plus 3 straight x space cross times space 1 over 7 open parentheses straight x space plus 1 over 7 close parentheses space space equals 343 space... open square brackets The space identity space open parentheses straight a plus straight b close parentheses cubed space equals space straight a cubed space plus straight b cubed space plus 3 ab space open parentheses straight a space plus space straight b close parentheses close square brackets equals straight x cubed plus 1 over 343 plus fraction numerator 3 straight x over denominator 7 end fraction space open parentheses straight x space plus 1 over 7 close parentheses equals 343 space.... open parentheses straight x space plus space 1 over 7 equals 7 comma space given close parentheses equals straight x cubed plus 1 over 343 plus fraction numerator 3 straight x over denominator 7 end fraction open parentheses space 7 close parentheses equals 343 equals straight x cubed plus 1 over 343 plus 3 straight x space equals space 343 end style

Answered by Expert 1st June 2015, 6:51 PM
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