1/M+1/N=5 (3M+MN+2N) / (M-MN=3N)

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1/M+1/N=5(3M+MN+2N)/(M-MN=3N)1/M+1/N=5(3M+MN+2N)/(M-MN=3N)1/M+1/N=5(3M+MN+2N)/(M-MN=3N)M-MN=3N->M=3N

1/M+1/N=5 (3M+MN+2N) / (M-MN=3N)
1/M+1/N=5 (3M+MN+2N) / (M-MN=3N)

1/M+1/N=5 (3M+MN+2N) / (M-MN=3N)
M-MN=3N -> M = 3N/(1-N)
代入 1/M+1/N=5 (3M+MN+2N) / (M-MN)
化简为:N^2 + 15 N - 1 = 0
解一元二次方程得N(两解)
代入M = 3N/(1-N),得 M