函数与方程练习题
判断函数y=x2-5x-14零点的个数,求出其零点并判断当x取何值时,y>0,x取何值时,y
人气:174 ℃ 时间:2020-05-23 16:19:38
解答
y=x²-5x-14
二次函数
Δ=25+4*14>0
∴有2个零点
令x²-5x-14=0
(x-7)(x+2)=0
x=7或x=-2
∴零点是x=7和x=-2
x∈(-∞,-2)和(7,+∞)时,y>0
x∈(-2,7),y
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