mathmath333
  • mathmath333
solve for \(x\).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
mathmath333
  • mathmath333
\(\large \color{black}{\begin{align} \sqrt{x^2}
anonymous
  • anonymous
Need help @mathmath333 ^.^
anonymous
  • anonymous
If you think im new and dont know much about OS this is my alt account .-. my original is @just_one_last_goodbye

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anonymous
  • anonymous
Let's take a look... ^_^
anonymous
  • anonymous
but @mathmath333 I'm being monitored by mods and cant give a direct answer so please stay I need your participation
anonymous
  • anonymous
First we need to find the "real region" of the problem
anonymous
  • anonymous
\[\sqrt{x ^{2}}\] is real to what?
anonymous
  • anonymous
@mathmath333 u there?
anonymous
  • anonymous
what have you got math?
mathmath333
  • mathmath333
i have got \(x>-1/2\) and \(x>0\)
anonymous
  • anonymous
It is real to \[(x ^{2}) \ge 0\]
anonymous
  • anonymous
@mathmath333 thats the answer x > -1/2 is the solution
anonymous
  • anonymous
x>-1/2 covers x>0 also, so answer is x>-1/2
anonymous
  • anonymous
\[[Solution: x > -\frac{ 1 }{ 2 }\] \[[Decimal: x > -0.5]\] \[[Interval Notation: (-\frac{ 1 }{ 2 }, \infty) ]\]
anonymous
  • anonymous
Oh hey @wio huge fan of your extension that you made for OS ^.^ im currently using all of them
mathmath333
  • mathmath333
but the common region between \(x>0.5\) and \(x>0\) so why not \(x>0\)
anonymous
  • anonymous
x>-0.5 not x>0.5
mathmath333
  • mathmath333
yea i mean \(x>-0.5\)
anonymous
  • anonymous
You can split it up: \[ x\lt x+1 \\ -x\lt x+1 \]The first equation will be true for all real \(x\), and so only the second equation matters. That equation leads to: \[ 0\lt 2x+1 \implies -\frac 12 \lt x \]
dan815
  • dan815
|dw:1435865650234:dw|
anonymous
  • anonymous
@Captain_America_Army Glad you like it.
dan815
  • dan815
sqrt(x^2) is another way to write the abs value of x
dan815
  • dan815
|dw:1435865730882:dw|
mathmath333
  • mathmath333
how do u draw that
dan815
  • dan815
draw the y=ABS(x) and the line y=x+1
dan815
  • dan815
like wio mentioned abs(x) can be split into 2 lines -x and x
mathmath333
  • mathmath333
ok thnx every one
anonymous
  • anonymous
Where did the \(0\lt x\) come from?
anonymous
  • anonymous
That was a good question math, why x>-0.5 and not x>0
mathmath333
  • mathmath333
but desmos did this https://www.desmos.com/calculator/lnftaoee2g
dan815
  • dan815
my drawing is so bad actually lol
dan815
  • dan815
they are parallel lines they wont intersect
dan815
  • dan815
but u get the point
mathmath333
  • mathmath333
\(\sqrt{x^2}\implies x>0 ,\ \ and \ \ x<0\)
anonymous
  • anonymous
In my equations, the first one assumes \(0\lt x\) and finds out \(x\in (0, \infty)\). The second one assumes \(x\lt 0\) and finds out \(x\in (-0.5, 0)\).
dan815
  • dan815
|dw:1435866160067:dw|
anonymous
  • anonymous
We union these intervals (because absolute value splitting up of problems is a union). We also check that \(x=0\) works. So our result is \(x\in (-0.5, \infty)\).
anonymous
  • anonymous
thanks wio
anonymous
  • anonymous
o.o working in the middle of OS math legends.... ~honored~
dan815
  • dan815
|dw:1435866195634:dw|
mathmath333
  • mathmath333
i get confused where to choose common region \(\cap\) and where to choose union region \(\cup\)
mathmath333
  • mathmath333
in math questions haha
anonymous
  • anonymous
^ agreed
dan815
  • dan815
i remember when you see a U its union
dan815
  • dan815
and upsinde down U looks kind of like n for n-tersect
dan815
  • dan815
u n
anonymous
  • anonymous
looks like a man with no hair to me .-.
dan815
  • dan815
it actually is n flipped in this font
dan815
  • dan815
180 deg rotation
mathmath333
  • mathmath333
dan i got this https://www.desmos.com/calculator/vlaerg67rk
dan815
  • dan815
yep
anonymous
  • anonymous
Dear math, please stop asking us to find your \(x\), he is gone and he's never coming back. just accept it. xD
anonymous
  • anonymous
~face palm~ smh >.< "math jokes"
mathmath333
  • mathmath333
no he is back
dan815
  • dan815
shes gonna eat \[\pi \] and get fat now
anonymous
  • anonymous
what u gotta say to that Muk xD
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
I am also going to eat a\[\pi z^2 a\]
1 Attachment
anonymous
  • anonymous
~yawn~ so instead of helping people... we are here making math jokes... that are more dry than the desert? nice ladies just nice.... http://www.joesdaily.com/wp-content/uploads/2014/11/joker-clapping.gif
anonymous
  • anonymous
:)) xD
anonymous
  • anonymous
.-. Hey Sexy Lady ~points @mukushla ~ Opa Opa Opa Gangnam style
mathmath333
  • mathmath333
|dw:1435867862718:dw|
anonymous
  • anonymous
.o. @mathmath333 show me how to do that ;-; I've asked everyone and they dont want to show me
anonymous
  • anonymous
That mod "TkHunny" =.= banned me for a week for posting external links
anonymous
  • anonymous
will 10 owl bucks do the job?

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