已知实数a,b满足a²-7a+2=0,b²-7a+2=0,求a分之b+b分之a的值
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![已知实数a,b满足a²-7a+2=0,b²-7a+2=0,求a分之b+b分之a的值](/uploads/image/z/3910802-50-2.jpg?t=%E5%B7%B2%E7%9F%A5%E5%AE%9E%E6%95%B0a%2Cb%E6%BB%A1%E8%B6%B3a%26%23178%3B-7a%2B2%3D0%2Cb%26%23178%3B-7a%2B2%3D0%2C%E6%B1%82a%E5%88%86%E4%B9%8Bb%2Bb%E5%88%86%E4%B9%8Ba%E7%9A%84%E5%80%BC)
已知实数a,b满足a²-7a+2=0,b²-7a+2=0,求a分之b+b分之a的值
已知实数a,b满足a²-7a+2=0,b²-7a+2=0,求a分之b+b分之a的值
已知实数a,b满足a²-7a+2=0,b²-7a+2=0,求a分之b+b分之a的值
已知实数a,b满足a²-7a+2=0,b²-7b+2=0,求a分之b+b分之a的值
由题意可知,a,b 是方程x² -7x +2=0 的两根,
a+b =7,
ab=2
所以b/a +a/b =(a²+b²)/ab=[(a+b)² -2ab]/ab =(49 -4)/2=45/2
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