InterviewSolution
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InterviewSolution
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If a, b, c are all non-zero and a+b+c=0, prove that `(a^(2))/(bc)+(b^(2))/(ca)+(c^(2))/(ab)=3`. |
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Answer» We have, a,b,c are all non-zero and a+b+c=0, therefore `a^(3)+b^(3)+c^(3)=3abc` Now, `(a^(2))/(bc)+(b^(2))/(ca)+(c^(2))/(ab)=(a^(3)+b^(3)+c^(3))/(abc)=(3abc)/(abc)=3` |
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