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230问答网 > 高中数学求不等式4x平方－4x大于15的解集过程

高中数学求不等式4x平方－4x大于15的解集过程

2025-01-08 02:49:58

推荐回答（3个）

回答1：

4x² - 4x > 15
x² - x > 15/4
x² - x +1/4 > 4
(x -1/2)² > 4
x -1/2 > 2 或 x -1/2 < - 2
x > 2.5 或 x < - 1.5

4x² - 4x > 15 的解集为：
{x | x > 2.5 } ∪ { x | x < - 1.5 }

回答2：

4x²-4x>15
4x²-4x+1>15+1
(2x-1)²>16
所以
2x-1>4
2x>5
x>5/2
或
2x-1<-4
2x<-3
x<-3/2

解集为 {x|x<-3/2或x>5/2}

回答3：

发生的方法

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