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\begin{array}{l}{\text { If } a, b, c \text { are all nonzero and } a+b+c=0, \text { prove that }} \\ {\frac{a^{2}}{b c}+\frac{b^{2}}{c a}+\frac{c^{2}}{a b}=3}\end{array} |
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Answer» when a+b+c=0=>a³+b³+c³=3abc (Identity)Dividing by abc on both sides => a²/bc + b²/ac + c²/ab=3 thanks |
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