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问题: 数学|~!|!!!

m为何值时,一元二次方程(mx+3)(x-1)=4m-5各项系数之和为2?

解答:

m为何值时,一元二次方程(mx+3)(x-1)=4m-5各项系数之和为2?

(mx+3)(x-1)=4m-5
===> mx^2+3x-mx-3-4m+5=0
===> mx^2+(3-m)x+(2-4m)=0
所以:m+(3-m)+(2-4m)=2
===> 4m=3
===> m=3/4