若不等式x2-ax+b<0的解集是{x|2<x<3},求不等式bx2-ax+1>0的解集.
人气:361 ℃ 时间:2020-03-02 05:19:28
解答
由题设,方程x
2-ax+b=0的解集为{2,3},
由韦达定理a=2+3=5,b=2×3=6,
不等式bx
2-ax+1>0化为6x
2-5x+1>0
解得{x
|x<或x>}.
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