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CBSE Class 10 Answered

The solutions of the equations : x  -  y  =     a – b a     b ax+by= a3 + b3
Asked by miniprasad | 05 Jun, 2018, 08:24: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight x over straight a minus straight y over straight b equals straight a minus straight b rightwards double arrow bx minus ay equals straight a squared straight b minus ab squared....... open parentheses 1 close parentheses ax plus by equals straight a cubed plus straight b cubed........... open parentheses 2 close parentheses left parenthesis 1 right parenthesis cross times straight b straight b squared straight x minus aby equals straight a squared straight b squared minus ab cubed....... open parentheses 3 close parentheses left parenthesis 2 right parenthesis cross times straight a straight a squared straight x plus aby equals straight a to the power of 4 plus ab cubed....... open parentheses 4 close parentheses left parenthesis 3 right parenthesis plus left parenthesis 4 right parenthesis open parentheses straight a squared plus straight b squared close parentheses straight x equals straight a squared straight b squared plus straight a to the power of 4 straight x equals fraction numerator straight a squared straight b squared plus straight a to the power of 4 over denominator straight a squared plus straight b squared end fraction space space space put space in space left parenthesis 2 right parenthesis straight a fraction numerator begin display style straight a squared straight b squared plus straight a to the power of 4 end style over denominator begin display style straight a squared plus straight b squared end style end fraction plus by equals straight a cubed plus straight b cubed fraction numerator begin display style straight a cubed straight b squared plus straight a to the power of 5 end style over denominator begin display style straight a squared plus straight b squared end style end fraction plus by equals straight a cubed plus straight b cubed fraction numerator begin display style straight a cubed straight b squared plus straight a to the power of 5 plus yb open parentheses straight a squared plus straight b squared close parentheses end style over denominator begin display style straight a squared plus straight b squared end style end fraction equals straight a cubed plus straight b cubed yb open parentheses straight a squared plus straight b squared close parentheses equals open parentheses straight a cubed plus straight b cubed close parentheses open parentheses straight a squared plus straight b squared close parentheses minus straight a cubed straight b squared minus straight a to the power of 5 yb open parentheses straight a squared plus straight b squared close parentheses equals straight a to the power of 5 plus straight b to the power of 5 plus straight b cubed straight a squared plus straight a cubed straight b squared minus straight a cubed straight b squared minus straight a to the power of 5 yb open parentheses straight a squared plus straight b squared close parentheses equals straight b to the power of 5 plus straight b cubed straight a squared straight y equals fraction numerator straight b to the power of 4 plus straight b squared straight a squared over denominator straight a squared plus straight b squared end fraction end style
Answered by Arun | 06 Jun, 2018, 10:33: AM

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