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CBSE Class 10 Answered

43. The solutions of the equations : x +  y     =     2 a     b ax-by= a2 – b2           is 
Asked by miniprasad | 05 Jun, 2018, 08:19: PM
Expert Answer
begin mathsize 16px style straight x over straight a plus straight y over straight b equals 2 rightwards double arrow bx plus ay equals 2 ab ax minus by equals straight a squared minus straight b squared....... left parenthesis 1 right parenthesis bx plus ay equals 2 ab........ left parenthesis 2 right parenthesis left parenthesis 1 right parenthesis cross times straight a space straight a squared straight x minus aby equals straight a cubed minus ab squared......... left parenthesis 3 right parenthesis left parenthesis 2 right parenthesis cross times straight b space straight b squared straight x plus aby equals 2 ab squared........... left parenthesis 4 right parenthesis left parenthesis 3 right parenthesis plus left parenthesis 4 right parenthesis straight a squared straight x plus straight b squared straight x equals straight a cubed plus ab squared straight x equals fraction numerator straight a cubed plus ab squared over denominator straight a squared plus straight b squared end fraction put space in space left parenthesis 1 right parenthesis straight a fraction numerator begin display style straight a cubed plus ab squared end style over denominator begin display style straight a squared plus straight b squared end style end fraction minus by equals straight a squared minus straight b squared straight a fraction numerator begin display style straight a cubed plus ab squared end style over denominator begin display style straight a squared plus straight b squared end style end fraction minus left parenthesis straight a squared minus straight b squared right parenthesis equals by fraction numerator begin display style straight a to the power of 4 plus straight a squared straight b squared minus left parenthesis straight a squared minus straight b squared right parenthesis left parenthesis straight a squared plus straight b squared right parenthesis end style over denominator begin display style straight a squared plus straight b squared end style end fraction equals by fraction numerator straight a to the power of 4 plus straight a squared straight b squared minus straight a to the power of 4 plus straight b to the power of 4 over denominator straight a squared plus straight b squared end fraction equals by fraction numerator begin display style straight a squared straight b plus straight b cubed end style over denominator begin display style straight a squared plus straight b squared end style end fraction equals straight y end style
Answered by Arun | 06 Jun, 2018, 10:15: AM

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