Question considering inequalities

[kate]

Can somebody tell me when the inequality
ax² + bx + c ≥ 0,
where a, b, c are real numbers, has one positive and one negative root?

[red_dog]

I think you mean equation, not inequality.
The equation [tex]ax^2+bx+c=0[/tex] has a negative root and a positive root if the product of the roots is negative.
That means [tex]\frac{c}{a}<0[/tex].
Also, the roots must be real and distinct, thus [tex]b^2-4ac>0[/tex]

[dancho]

Yeah I also think that she means equation not inequality.

[David]

I realise that I'm new to this group and don't want to start off on a negative note, but I have been assisting for a long time in several other newsgroups, and am here to tell you that "kate" sends her questions to more than one forum, and never show any personal effort. I like to distinguish between help and do-my-homework.

[kate]

I realise that I'm new to this group and don't want to start off on a negative note, but I have been assisting for a long time in several other newsgroups, and am here to tell you that "kate" sends her questions to more than one forum, and never show any personal effort. I like to distinguish between help and do-my-homework.

And can I ask where else have I post my questions?

[Guest]

Yeah I also think that she means equation not inequality.

[Guest]

Find the values of the parameter a for which the equation
ax² + 5x - 4 = 10
has a negative and a positive root.

[leesajohnson]

Your question is not so clear and I'm unable to understand that what you need to ask here. As already other people mentioned here that question is not correct.