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Mathematics 20 Online
OpenStudy (anonymous):

jim thompson, can you come here?

OpenStudy (anonymous):

do u need somethin?

OpenStudy (anonymous):

well was wondering how to write in = in the equation coding. like "\[fac{1}{2}\+\4\ =? 4.5\ "

OpenStudy (anonymous):

k nvm i dont know i nvr use, i find it retarded

OpenStudy (anonymous):

it's awesome lol

OpenStudy (anonymous):

\[\frac{it is}{awesome}\]

OpenStudy (anonymous):

yh but it takes long

OpenStudy (anonymous):

\[\frac{does}{it?}\]

jimthompson5910 (jim_thompson5910):

ok I'm here, what's up?

OpenStudy (anonymous):

new one, so I can give you medals.

OpenStudy (anonymous):

but lol, I was asking you to come so I could figure out some code

jimthompson5910 (jim_thompson5910):

ok don't really mind about the medals, what's on your mind code wise?

OpenStudy (anonymous):

I think the "=" in that code looks funny, thought there was a different way to do it. was going to ask you about it.

jimthompson5910 (jim_thompson5910):

show me

jimthompson5910 (jim_thompson5910):

or is it back in that last post?

OpenStudy (anonymous):

I guess I got it. \[=is equals i guess\]

OpenStudy (anonymous):

do they use nbsp for spaces in this code? what language is this anyway?

jimthompson5910 (jim_thompson5910):

LaTex

OpenStudy (anonymous):

lol what

jimthompson5910 (jim_thompson5910):

use a single lone \ for space

jimthompson5910 (jim_thompson5910):

it's a markup language like HTML

jimthompson5910 (jim_thompson5910):

\ [testing the code\ ] ---> \[testing the code\] \ [testing \ the \ code\ ] ---> \[testing \ the \ code\] better to use \textrm instead \ [\textrm{testing the code}\ ] ----> \[\textrm{testing the code}\]

jimthompson5910 (jim_thompson5910):

textrm is a way to display printed text as opposed to mathematical expressions

OpenStudy (anonymous):

cool, I'll brush up on it to help others :)

jimthompson5910 (jim_thompson5910):

great, to learn more, there are tons of LaTex tutorials out on the web

OpenStudy (anonymous):

seems pretty easy to learn..

jimthompson5910 (jim_thompson5910):

you could also try Tex, but LaTex should be more than enough

jimthompson5910 (jim_thompson5910):

yeah it's not too bad

OpenStudy (anonymous):

I play around with lua alot so I'm familiar with code.

jimthompson5910 (jim_thompson5910):

what's that syntax like

OpenStudy (anonymous):

print("helloworld")

OpenStudy (anonymous):

useful for text based games.

jimthompson5910 (jim_thompson5910):

oh so like C?

OpenStudy (anonymous):

c based. way easier, slower, still pretty fast and powerful.

jimthompson5910 (jim_thompson5910):

i "C"....

OpenStudy (anonymous):

but if you know C then you can pick LUA up in about an hour and start OWNING everyone on text based games haha.

jimthompson5910 (jim_thompson5910):

lol cool i know a bit of C

OpenStudy (anonymous):

Yeah I wish there were 89 people on the computer science section at all times. would be awesome.

jimthompson5910 (jim_thompson5910):

I'm sure there are plenty of sites though that specialize in that sort of thing

OpenStudy (anonymous):

nothing as interactive as this.

jimthompson5910 (jim_thompson5910):

true

OpenStudy (anonymous):

this sight is fanflutteringtastic. I predict A+ in precalc next year.

OpenStudy (anonymous):

Anyways, wanna werk my problem ^^?

jimthompson5910 (jim_thompson5910):

sure, what was it again?

jimthompson5910 (jim_thompson5910):

wait one sec while I get it

jimthompson5910 (jim_thompson5910):

\[\frac{1}{x}\ + \frac{1}{2x}\ + \frac{1}{3x}=12\]

jimthompson5910 (jim_thompson5910):

just so it's close by

jimthompson5910 (jim_thompson5910):

multiply EVERY term by the LCD 6x to get \[6 +3+2=72x\]

OpenStudy (anonymous):

oh hold up.

jimthompson5910 (jim_thompson5910):

Now solve like its any other equation 6+3+2=72x 11=72x x=11/72

OpenStudy (anonymous):

I'm so bad at finding LCD. I thought it was (x)(2x)(3x)

OpenStudy (anonymous):

any tips for finding the LCD in this case?

jimthompson5910 (jim_thompson5910):

Answer is \[\large x=\frac{11}{72}\]

OpenStudy (anonymous):

;D thanks. I got another one. wanna see?

jimthompson5910 (jim_thompson5910):

(x)(2x)(3x) = 6x^3 is one common denominator but it is not the LCD

jimthompson5910 (jim_thompson5910):

the LCD can be found by finding the LCD between x and 2x (which is 2x) then finding the LCD between 2x and 3x (which is 6x). So you have to do it in pairs like this, you can't just multiply them out You can do that to get a common denominator (not the LCD though), but things might get messy.

OpenStudy (anonymous):

\[\frac{1}{x-1}+\frac{8}{x²-6x+5)+frac{5}{x-5}\] what is it mad about?

OpenStudy (anonymous):

wait, i don't understand how finding the LCD between x and 2 is relative to 6?

OpenStudy (anonymous):

between x and 2x

jimthompson5910 (jim_thompson5910):

To find the LCD among a group of expressions, you have to find the LCD in pairs. For instance, to find the LCM of 5, 6 and 8, first find the LCD of 5 and 6 (which is 30). Now take the LCM of 30 use it in conjunction with 8 to find that the LCM of 30 and 8 is 120 So the LCM (LCD if it's a denominator) of 5, 6, and 8 is 120

OpenStudy (anonymous):

\[\frac{1}{x-1}+\frac{8}{x²-6x+5}=\frac{5}{x-5}\] there we are.

OpenStudy (anonymous):

Thanks man. That really messed me up in alg 2!

jimthompson5910 (jim_thompson5910):

btw in your last attempt you had +frac{5}{x-5} instead of +\frac{5}{x-5}, just caught that

OpenStudy (anonymous):

so the lcd here, I'm just guessing, is it x²-6x+5?

jimthompson5910 (jim_thompson5910):

good guess

OpenStudy (anonymous):

:D

jimthompson5910 (jim_thompson5910):

x^2-6x+5=(x-1)(x-5), so this is the smallest multiple of both x-1 and x-5

jimthompson5910 (jim_thompson5910):

so multiply everything through by this LCD to get...

OpenStudy (anonymous):

wait the lcm is (x-5)(x-1) .. I'm confused.

OpenStudy (anonymous):

I mean the polynomial and those two binomials are = to one another.. and it would be easier to multiply by (x-5)(x-1)

jimthompson5910 (jim_thompson5910):

yeah if you didn't recognize they were equal or forgot they were, it's better to multiply by (x-5)(x-1) so you can see which pieces cancel out and which stay

OpenStudy (anonymous):

shaman, so we should get,... here let me do it on paper

OpenStudy (anonymous):

hmm would the x²-6x+5 cancle with the LCD?

jimthompson5910 (jim_thompson5910):

yes, that second term will have nothing left over

OpenStudy (anonymous):

so x =1

jimthompson5910 (jim_thompson5910):

that's what you're getting for your final answer?

OpenStudy (anonymous):

>.< don't sound so skeptical; yes.

OpenStudy (anonymous):

because (x-1) cancels in the first term.. leaving (x-5)+8=5(x-1)

OpenStudy (anonymous):

oh...

OpenStudy (anonymous):

hmm..

OpenStudy (anonymous):

gotta multiply the bottom too right?

OpenStudy (anonymous):

could you show me your work lol I'm confused.

OpenStudy (anonymous):

could you show me your work lol I'm confused.

jimthompson5910 (jim_thompson5910):

this is what I got \[\large \frac{1}{x-1}+\frac{8}{x^2-6x+5}=\frac{5}{x-5}\] \[\large (x-5)(x-1)\frac{1}{x-1}+(x-5)(x-1)\frac{8}{x^2-6x+5}=(x-5)(x-1)\frac{5}{x-5}\] \[\large 1(x-5)+8=5(x-1)\] \[\large x-5+8=5x-5\] \[\large x+3=5x-5\] \[\large x-5x=-5-3\] \[\large -4x=-8\] \[\large x=\frac{-8}{-4}\] \[\large x=2\]

OpenStudy (anonymous):

oh I must have just made a lill mistake

jimthompson5910 (jim_thompson5910):

where at?

OpenStudy (anonymous):

I tried to combine like terms. the -5 and 8 on the left

OpenStudy (anonymous):

so i had x - 3 lol

jimthompson5910 (jim_thompson5910):

ah

OpenStudy (anonymous):

anyways man. You rock. You should be paid for this.

jimthompson5910 (jim_thompson5910):

I do (sometimes) lol

OpenStudy (anonymous):

lol. this site should pay you I mean.

jimthompson5910 (jim_thompson5910):

but this is fun so no worries

OpenStudy (anonymous):

IKNOWRIGHT? since when is math fun XD

jimthompson5910 (jim_thompson5910):

if you were paid by medals, then it'll be a popularity contest

OpenStudy (anonymous):

I'd rather do this than play games.

OpenStudy (anonymous):

yeah for sure.

jimthompson5910 (jim_thompson5910):

so idk how paid tutors would work on this site, but I see it happening someday

OpenStudy (anonymous):

I dunno. People reccomended. Or people that spend as much time on here as you do?

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