• 若命题“?x∈R,使得x2+(a-1)x+1<0”是真命题,则实数a的取值范围是 .试题及答案-单选题-云返教育

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      若命题“?x∈R,使得x2+(a-1)x+1<0”是真命题,则实数a的取值范围是         

      试题解答


      (-∞,-1)∪(3,+∞)
      解:∵“?x∈R,使得x2+(a-1)x+1<0
      ∴x
      2+(a-1)x+1=0有两个不等实根
      ∴△=(a-1)
      2-4>0
      ∴a<-1或a>3
      故答案为:(-∞,-1)∪(3,+∞)
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