IF IF A,B,C ARE ALL NON ZERO AND A+B+C=0 PROVE THAT  A2/BC  +  B2/CA  + C2/AB  =3

Asked by vrishti TOKAS | 20th May, 2015, 08:12: PM

Expert Answer:

fraction numerator A squared over denominator B C end fraction plus fraction numerator B squared over denominator C A end fraction plus fraction numerator C squared over denominator A B end fraction equals 3 L H S comma fraction numerator A squared over denominator B C end fraction plus fraction numerator B squared over denominator C A end fraction plus fraction numerator C squared over denominator A B end fraction equals fraction numerator A cubed plus B cubed plus C cubed over denominator A B C end fraction space equals fraction numerator 3 A B C over denominator A B C end fraction open square brackets W e space k n o w comma space i f space a plus b plus c equals 0 comma space t h e n space a cubed plus b cubed plus c cubed equals 3 a b c close square brackets equals 3 equals R H S H e n c e space P r o v e d

Answered by Prasenjit Paul | 21st May, 2015, 10:27: AM

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