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C-Dizzle · Posted: Mon Oct 10, 2011 11:14 am Post subject: Quadratic inequalities.

6x^2+7x>3

I know the answer is x>1/3 and x<-3/2 but I;m not sure how to get there.

I assume it's x(6x+7)>3 or x(6x+7)-3+0 But I'm not sure what to do after that.

Channel GannoK · pffrt Reputation: 130 Joined: 12 Apr 2008 Posts: 608

It's literally the same exact thing for solving equations, except when you have to switch from a negative to a positive, or vice versa, you change the sign from > to < and etc.

C-Dizzle · Posted: Mon Oct 10, 2011 11:24 am Post subject:

Yeah, I'm used to factorising like (6x+Z)(x+Y) That didn't work so I just messed around with the numbers and got: (3x-1)(2x+3) which gives me the correct X values. Teacher didn't teach us that we could split the 6x up. (What I said probably doesn't make the slightest bit of sense but I understand now ^_^) Pretty much - Tried new way not taught in class and it worked, go me.

Anarchy · Posted: Mon Oct 10, 2011 11:56 am Post subject:

C-Dizzle · Posted: Mon Oct 10, 2011 12:07 pm Post subject:

SGL · Posted: Mon Oct 10, 2011 1:13 pm Post subject: Re: Quadratic inequalities.

Channel GannoK · pffrt Reputation: 130 Joined: 12 Apr 2008 Posts: 608

I'd help you but I'm on my phone. Sorry.

C-Dizzle · Posted: Mon Oct 10, 2011 1:32 pm Post subject:

I've already sorted it out.

Slugsnack · Posted: Mon Oct 10, 2011 1:44 pm Post subject:

visualise how it would be graphed. you know how the curve looks different for negative and positive x^2

gogodr · Posted: Mon Oct 10, 2011 1:45 pm Post subject: Re: Quadratic inequalities.

C-Dizzle · Posted: Mon Oct 10, 2011 4:58 pm Post subject: Re: Quadratic inequalities.

emil · Posted: Mon Oct 10, 2011 6:51 pm Post subject:

Evil_Intentions · Posted: Mon Oct 10, 2011 7:10 pm Post subject:

>
Greater than

<
less than

This is going to sound stupid, but it helps me

GreatOR

Less thAND

So if your answers are say, -2 and 3, and it was greatOR, your answer would be x<-2 OR x>3

if it was less thAND, your answer would be -2<x<3

In greatOR, the answer is on the outside of the two numbers graphically, and on the inside in less thAND

...for quadratic inequalities of course. I use something completely different for higher degrees

Phox · Posted: Mon Oct 10, 2011 8:26 pm Post subject:

Channel GannoK · pffrt Reputation: 130 Joined: 12 Apr 2008 Posts: 608

Llulul. Just wait till you have to use imaginary numbers. Shit gets confusing.

a(+/-) bi. Fucking hated it in algebra. Precalc sucks pretty bad too