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Kontes Terbuka Olimpiade Matematika - Maret 2017 - Bagian B Nomor 4

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Tunjukkan bahwa sistem persamaan: $\begin{cases}\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b}=9\\ \frac{a^2}{b+c}+\frac{b^2}{c+a}+\frac{c^2}{a+b}=32\\ \frac{a^3}{b+c}+\frac{b^3}{c+a}+\frac{c^3}{a+b}=123\end{cases}$ tidak memiliki solusi dimana $a,b,c$ ketiganya bilangan riil.

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