一道英文算数题,If 4X^2-3X+P>0,for any real values of x,find the range of values of p.

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一道英文算数题,If 4X^2-3X+P>0,for any real values of x,find the range of values of p.
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一道英文算数题,If 4X^2-3X+P>0,for any real values of x,find the range of values of p.
一道英文算数题,
If 4X^2-3X+P>0,for any real values of x,find the range of values of p.

一道英文算数题,If 4X^2-3X+P>0,for any real values of x,find the range of values of p.
令y=4X^2-3X
由顶点纵坐标公式可知此抛物线的最小值为-9/16
因为4X^2-3X>-P,所以
-9/16>-P
P>9/16

p>0

4X^2-3X>-p
p