An algebra problem by Soumik Chakraborty

Algebra Level pending

The roots will be equal of the equation (a^{2}-bc)x^{2}+2(b^{2}-ca)x+(c^{2}-ab)=0 ,when b is not equal to '0' ... only if ??

a+6=b-9=5c a=b=c a+b+c=0 a^{3}+b^{3}+c^{3}-3abc=0

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