Prelim 2015 Chit Chat Thread (1 Viewer)

WrittenLoveLetters · Jul 23, 2015

rand_althor said:
$\begin{align*}\textup{For x-intercepts, let }y&=0\\2x^3-3x^2+5&=0 \\2x^3+2-3x^2+3&=0 \\2(x^3+1)-3(x^2-1)&=0 \\2(x+1)(x^2-x+1)-3(x-1)(x+1)&=0 \\(x+1)[2(x^2-x+1)-3(x-1)]&=0 \\(x+1)(2x^2-2x+2-3x+3)&=0 \\(x+1)(2x^2-5x+5)&=0 \\\textup{For }2x^2-5x+5 \,\Delta<0\textup{, therefore there are no real roots.} \\\textup{Thus the only solution is }x=-1.\end{align*}$

Oh wow, never thought of splitting the number, now I learnt something new

DatAtarLyfe · Jul 23, 2015

rand_althor said:
$\begin{align*}\textup{For x-intercepts, let }y&=0\\2x^3-3x^2+5&=0 \\2x^3+2-3x^2+3&=0 \\2(x^3+1)-3(x^2-1)&=0 \\2(x+1)(x^2-x+1)-3(x-1)(x+1)&=0 \\(x+1)[2(x^2-x+1)-3(x-1)]&=0 \\(x+1)(2x^2-2x+2-3x+3)&=0 \\(x+1)(2x^2-5x+5)&=0 \\\textup{For }2x^2-5x+5 \,\Delta<0\textup{, therefore there are no real roots.} \\\textup{Thus the only solution is }x=-1.\end{align*}$

Oh for fucks sake rand, i fully did it, prepared to post a picture and then you came along.
Unbelievable...one day imma beat this sonofabitch

WrittenLoveLetters · Jul 23, 2015

DatAtarLyfe said:
Oh for fucks sake rand, i fully did it, prepared to post a picture and then you came along.
Unbelievable...

GG, how dare you be inferior, you 4U wannabe!

MilkyCat_ · Jul 23, 2015

DatAtarLyfe said:
Oh for fucks sake rand, i fully did it, prepared to post a picture and then you came along.
Unbelievable...

Pics or didn't happen

stellyy · Jul 23, 2015

rand_althor said:
$\begin{align*}\textup{For x-intercepts, let }y&=0\\2x^3-3x^2+5&=0 \\2x^3+2-3x^2+3&=0 \\2(x^3+1)-3(x^2-1)&=0 \\2(x+1)(x^2-x+1)-3(x-1)(x+1)&=0 \\(x+1)[2(x^2-x+1)-3(x-1)]&=0 \\(x+1)(2x^2-2x+2-3x+3)&=0 \\(x+1)(2x^2-5x+5)&=0 \\\textup{For }2x^2-5x+5 \,\Delta<0\textup{, therefore there are no real roots.} \\\textup{Thus the only solution is }x=-1.\end{align*}$

is this something I'm supposed to know by now..? never thought of that method

WrittenLoveLetters · Jul 23, 2015

stellyy said:
is this something I'm supposed to know by now..? never thought of that method

I think we were taught to split and match up, but I never did that with numbers, I did it with x and its coefficient

rand_althor · Jul 23, 2015

stellyy said:
is this something I'm supposed to know by now..? never thought of that method

It isn't really a method you learn (e.g. completing the square). Solving the equation requires you to be able to manipulate an equation, and that is a skill you should have.

WrittenLoveLetters · Jul 23, 2015

rand_althor said:
It isn't really a method you learn (e.g. completing the square). Solving the equation requires you to be able to manipulate an equation, and that is a skill you should have.

Thanks for sharing! It's something pretty new I have never done, nice to see some simple ways to reach the solution

Kittyrules · Jul 23, 2015

rand_althor said:
It isn't really a method you learn (e.g. completing the square). Solving the equation requires you to be able to manipulate an equation, and that is a skill you should have.

would you also be able to answer that question using the remainder theorem? sorry if this is a stupid question but its been a while since i did polynomials

stellyy · Jul 23, 2015

rand_althor said:
It isn't really a method you learn (e.g. completing the square). Solving the equation requires you to be able to manipulate an equation, and that is a skill you should have.

niceeee! thanks for helping me out

stellyy · Jul 23, 2015

Kittyrules said:
would you also be able to answer that question using the remainder theorem? sorry if this is a stupid question but its been a while since i did polynomials

yeah that's what I was thinking! apart from the fact the original question came from calculus sketching

Speed6 · Jul 23, 2015

Who's doing an all nighter? I am, I have a maths exam tomorrow

WrittenLoveLetters · Jul 23, 2015

I wanted to share this thought...something I always think when I see Year 10s thinking they are top shit "Oh god, you don't know what senior school is like, you poor children, please don't get butt raped too hard when you realise Year 11 is easier than Year 12"

WrittenLoveLetters · Jul 23, 2015

Speed6 said:
Who's doing an all nighter? I am, I have a maths exam tomorrow

I might, I have double frees tomorrow morning and no maths exam! Good luck

Get off BOS

Graceuf · Jul 23, 2015

Speed6 said:
Who's doing an all nighter? I am, I have a maths exam tomorrow

Don't have exams until week 9!

Assignments on the other hand...

And they all seem to be due the week of our school snow trip. Good job school!

Speed6 · Jul 23, 2015

WrittenLoveLetters said:
I might, I have double frees tomorrow morning and no maths exam! Good luck Get off BOS

Thanks, see ya tomorrow

rand_althor · Jul 23, 2015

Kittyrules said:
would you also be able to answer that question using the remainder theorem? sorry if this is a stupid question but its been a while since i did polynomials

If you managed to find that x=-1 was a root, then you would need to do long division to finish the factorisation.

Sien · Jul 23, 2015

WrittenLoveLetters said:
I wanted to share this thought...something I always think when I see Year 10s thinking they are top shit "Oh god, you don't know what senior school is like, you poor children, please don't get butt raped too hard when you realise Year 11 is easier than Year 12"

Lol when I see yr10s acting all high and mighty, the urge to backhand slap is stronk

Speed6 said:
Who's doing an all nighter? I am, I have a maths exam tomorrow

That me 1 yr ago, I learnt better time management but it only applies for maths.for some reason lol

Graceuf · Jul 23, 2015

So I found out today that I'm going to have 5 periods of Maths next Thursdsy...

I like Maths but it's going to be a long day.

Sien · Jul 23, 2015

Graceuf said:
So I found out today that I'm going to have 5 periods of Maths next Thursdsy...

I like Maths but it's going to be a long day.

Why? So hardcore

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