X²-(m+1)X+m=0有2个不等式实数根X1和X2(X1>X2)且X1²+X2²>(X1-X2)²,求m的取值范围

问题描述:

X²-(m+1)X+m=0有2个不等式实数根X1和X2(X1>X2)且X1²+X2²>(X1-X2)²,求m的取值范围

X1²+X2²>(X1-X2)²

2x1x2>0
x1x2=m>0