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230问答网 > 关于x的一元二次方程x²-x+p-1=0有两实数根x1，x2

关于x的一元二次方程x²-x+p-1=0有两实数根x1，x2

2025-03-19 20:38:45

推荐回答（1个）

回答1：

1、
判别式大于等于0
1-4(p-1)≥0
p-1≤1/4
p≤5/4

2、
x1是方程的解
则x1²-x1+p-1=0
x1-x1²=p-1
2+x1(1-x1)=2+x1-x1²=2+p-1=p+1
同理，2+x2(1-x2)=p+1
所以(p+1)²=9
p+1=±3
p≤5/4
所以p=-3-1=-4

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