已知m²+3m-2=0,2n²-3n-1=0,mn为实数,求m+1/n
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![已知m²+3m-2=0,2n²-3n-1=0,mn为实数,求m+1/n](/uploads/image/z/601744-40-4.jpg?t=%E5%B7%B2%E7%9F%A5m%26%23178%3B%2B3m-2%3D0%2C2n%26%23178%3B-3n-1%3D0%2Cmn%E4%B8%BA%E5%AE%9E%E6%95%B0%2C%E6%B1%82m%2B1%2Fn)
已知m²+3m-2=0,2n²-3n-1=0,mn为实数,求m+1/n
已知m²+3m-2=0,2n²-3n-1=0,mn为实数,求m+1/n
已知m²+3m-2=0,2n²-3n-1=0,mn为实数,求m+1/n
2n²-3n-1=0
除以n²得 2-3/n-1/n²=0
即(1/n)²+3﹙1/n)-2=0
∵m²+3m-2=0
∴m,1/n是方程x²+3x-2=0的两个实数根
∴m+1/n=-3