If a,b,c are non zero real numbers such that `3(a^2+b^2+c^2+1)=2(a+b+c+ab+bc+ca)` then

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If `a,b,c` are non-zero real numbers such that `3(a^2+b^2+c^2+1)=2(a+b+c+ab+bc+ca)` then `a,b, If `a,b,c` are non-zero real numbers such that `3(a^2+b^2+c^2+1)=2(a+b+c+ab+bc+ca)` then `a,b,
a b c are all non zero and a+b+c=0 prove that a^2/bc+b^2/ac+c^2/ab=3 abc are non zero and a+b+c=0 a b c are all non zero and a+b+c=0 prove that a^2/bc+b^2/ac+c^2/ab=3 abc are non zero and a+b+c=0
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