实数P为何值时,对任意实数X,不等式X平方-X+1分之3X平方+PX小于等于6成立?

2025-04-13 09:43:22
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回答1:

x^2-x+1=(x-1/2)^2+3/4>0 (3x^2+px)/(x^2-x+1)<=6 3x^2+px<=6x^2-6x+6 3x^2-(p+6)x+6>=0 (p+6)^2-72<=0 (p+6)^2<=2*36 -6-6√2<=p<=-6+6√2