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CBSE Class 10 Answered

a^3 = 3 ( b^2 + c^2) - 25 b^3 = 3 ( a^2 + c^2) - 25 c^3 = 3 ( a^2 + b^2 ) - 25 Find a*b*c where a,b & c are all real numbers. Plz solve this hurry sir
Asked by Soma | 24 Feb, 2019, 01:46: PM
answered-by-expert Expert Answer
straight a cubed equals 3 left parenthesis straight b squared plus straight c squared right parenthesis minus 25 straight b cubed equals 3 left parenthesis straight a squared plus straight c squared right parenthesis minus 25 straight c cubed equals 3 left parenthesis straight a squared plus straight b squared right parenthesis minus 25 open parentheses abc close parentheses cubed equals open parentheses 3 left parenthesis straight b squared plus straight c squared right parenthesis minus 25 close parentheses open parentheses 3 left parenthesis straight a squared plus straight c squared right parenthesis minus 25 close parentheses open parentheses 3 left parenthesis straight a squared plus straight b squared right parenthesis minus 25 close parentheses open parentheses abc close parentheses cubed equals 27 open parentheses left parenthesis straight b squared plus straight c squared right parenthesis minus 25 close parentheses open parentheses left parenthesis straight a squared plus straight c squared right parenthesis minus 25 close parentheses open parentheses left parenthesis straight a squared plus straight b squared right parenthesis minus 25 close parentheses open parentheses abc close parentheses equals 3 cube root of open parentheses left parenthesis straight b squared plus straight c squared right parenthesis minus 25 close parentheses open parentheses left parenthesis straight a squared plus straight c squared right parenthesis minus 25 close parentheses open parentheses left parenthesis straight a squared plus straight b squared right parenthesis minus 25 close parentheses end root open parentheses abc close parentheses equals 3 cube root of open parentheses left parenthesis straight b squared plus straight c squared right parenthesis left parenthesis straight a squared plus straight c squared right parenthesis minus 25 left parenthesis straight a squared plus straight c squared right parenthesis minus 25 left parenthesis straight b squared plus straight c squared right parenthesis plus 25 cross times 25 close parentheses open parentheses left parenthesis straight a squared plus straight b squared right parenthesis minus 25 close parentheses end root multiply space the space terms space
Answered by Arun | 26 Feb, 2019, 05:39: PM

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