Question

为何值时,方程4x+2n/(x+m)=x有两个绝对值相等,符号相反的根?

Answer 1

(4x+2n)/(x+m)=x(x+m)/(x+m)

(xx+mx－4x－2n)/(x+m)=0

(xx+mx－4x－2n)=0

xx+(m－4)x－2n=0

有两个绝对值相等,符号相反的根

xx+(m－4)(-x)－2n=0

m－4=0

m=4

(xx－2n)/(x－4)=0

m=4

n>0即可