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ICSE Class 10 Answered

Please see this question  if (x^2+x+1)/(y^2+y+1)=(x^2-x+1)/(y^2-y+1) show that xy=1
Asked by dwivedi_anand | 28 Nov, 2018, 10:04: PM
answered-by-expert Expert Answer
begin mathsize 12px style fraction numerator x squared plus x plus 1 over denominator y squared plus y plus 1 end fraction space equals space fraction numerator begin display style x squared minus x plus 1 end style over denominator begin display style y squared minus y plus 1 end style end fraction space B y space c r o s s space m u l t i p l y i n g comma space w e space g e t open parentheses x squared plus x plus 1 close parentheses open parentheses y squared minus y plus 1 close parentheses space equals space open parentheses x squared minus x plus 1 close parentheses open parentheses y squared plus y plus 1 close parentheses x squared y squared space minus space x squared y plus space x squared space plus space x y squared space minus x y space plus x space plus y squared minus y plus 1 space equals space x squared y squared space plus space x squared y plus space x squared space minus space x y squared space minus x y space minus x space plus y squared plus y plus 1 B y space r e m o v i n g space c o m m o n space t e r m s space o n space b o t h space s i d e s comma space w e space h a v e space 2 x squared y space minus space 2 x y squared minus 2 x plus 2 y space equals 0 x y left parenthesis x minus y right parenthesis minus left parenthesis x minus y right parenthesis space equals 0 x y left parenthesis x minus y right parenthesis equals left parenthesis x minus y right parenthesis space space o r space x y space equals 1 end style
Answered by Thiyagarajan K | 28 Nov, 2018, 10:46: PM

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