已知抛物线y=x的平方-(m-1)x-m与x轴交于(x1,0),(x2,0),且满足1/x1+1/x2+2/3=0,则m=
问题描述:
已知抛物线y=x的平方-(m-1)x-m与x轴交于(x1,0),(x2,0),且满足1/x1+1/x2+2/3=0,则m=
答
由它,1/x1+1/x2+2/3=0,两边同乘x1x2得x2+x1+2/3x1x2=0,
把x1+x2=-a/b=m-1,x1x2=-m,代入x2+x1+2/3x1x2=0
得m-1-2/3m=0得m=3