Pre Calculus Proof?

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thread starter BabysAreFood Sep 02 2009 + PM | QUOTE | PERMALINK | REPORT

I need help with this problem. I got stuck trying to prove it. a.If a<b, what additional assumptions on a and b will guarantee that a^2<b^2? b. Prove your assertion. The assumptions I ended up with were "a>0 and b>0" (so a and b won't be negative) or -a>-b. The thing is, I don't know how to prove this. Can anyone help me?

TheBeatles 09/02/09 + PM | QUOTE | PERMALINK | REPORT

Go to Yahoo Answers. MYANSWER: e=mc^2

DUCKKKKs 09/02/09 + PM | QUOTE | PERMALINK | REPORT

Getting Basil to do your homework eh?

Kharma Sep 02 2009 + PM | QUOTE | PERMALINK | REPORT

I'm pretty sure it has to do with absolute value. The absolute value of "a" has to be less than the absolute value of "b" in order to guarantee that a^2 < b^2. EDIT: This is because you have to consider both positive AND negative numbers. Technically, "a" can be -4, and "b" can be -3. That would mean a^2 would be greater than b^2, so the absolute value restriction is needed. Hopefully I answered that correctly, or you can go over it with your teacher if this is wrong. XD

xIdentity 09/02/09 + PM | QUOTE | PERMALINK | REPORT

DUCKKKKs : Getting Basil to do your homework eh? It's what ALL the cool kids do, duhhh.

BabysAreFood 09/02/09 + PM | QUOTE | PERMALINK | REPORT

Kharma : I'm pretty sure it has to do with absolute value. The absolute value of "a" has to be less than the absolute value of "b" in order to guarantee that a^2 < b^2. According to our teacher, we're not allowed to use things we haven't learned yet during the school year. So even though we know about absolute value, we're not allowed to use it until we get to that part. Instead I'm stuck with the basic order theorems.

Kharma 09/02/09 + PM | QUOTE | PERMALINK | REPORT

BabysAreFood : According to our teacher, we're not allowed to use things we haven't learned yet during the school year. So even though we know about absolute value, we're not allowed to use it until we get to that part. Instead I'm stuck with the basic order theorems. Oh. Then I think maybe a > 0 and b > 0 is the right answer then? XD

Macchiato 09/02/09 + PM | QUOTE | PERMALINK | REPORT

DUCKKKKs : Getting Basil to do your homework eh? Basil = almost all asians. Basil= active. Asians = good at math. Asians = reliable. Basil = great source of help when it comes to math.

Kharma 09/02/09 + PM | QUOTE | PERMALINK | REPORT

Macchiato : Basil = almost all asians. Basil= active. Asians = good at math. Asians = reliable. Basil = great source of help when it comes to math. I think I'm one of those people now... :P