anonymous
  • anonymous
2|x|+10=|x|+3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
I tried to solve it, but I get to |x|=-7 as far as I remember, absolute value laws say that if absolute value |x| results to a negative number in an equation, then x does not have solution. Am I right or am I forgeting something?
anonymous
  • anonymous
|x|= -x if x<0 & =x if x>=0
anonymous
  • anonymous
yes i got the same thing :) |x|=-7

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anonymous
  • anonymous
so, basically, x has no solution, right?
anonymous
  • anonymous
well, thanks for taking your time to help me
anonymous
  • anonymous
your welcome oktal !
anonymous
  • anonymous
oktal, you're right when you get -7...this system has no solution...that's a solution in itself :) Also, you can see this if you plot \[y=2|x|+10\]and\[y=|x|+3\]They'll never meet at a point, which means there'll never be a x-value that will give you a y-value (and therefore solution) they will share .
anonymous
  • anonymous
so, basically, if |x| = negative number, x ALWAYS has no solution....
anonymous
  • anonymous
your explanation is good
anonymous
  • anonymous
Yeah, well, you can check also by using the definition of |x|, which is\[|x|=\sqrt{x^2}\]If you use that definition, you'll end up with\[2\sqrt{x^2}+10=\sqrt{x^2}+3 \rightarrow \sqrt{x^2}=-7\]which is rubbish IF x is real.
anonymous
  • anonymous
ok, got that :)
anonymous
  • anonymous
AND...if you continue to assume there is a solution, then after squaring both sides,\[x^2=49 \rightarrow x= \pm 7\]If you now sub. each of these results into the left-hand side, you get\[2|\pm 7|+10=24\]and in the right:\[|\pm 7|+3=10\]which means the LHS and RHS do not agree...i.e. you end up with a contradiction if you assume this thing has a solution. You have no option, the, but to reject the assumption that there is a solution (since that's the only assumption you've made).
anonymous
  • anonymous
Bit more complicated than needed, but |x| is never less than 0, so |x|=-7 should be a red flag. Also - PLOT IT if you have time!
anonymous
  • anonymous
Hope the study's going well. Say hi to BMF!
anonymous
  • anonymous
=D everything is going fine.. and yeah, I will say Hi to BMF
anonymous
  • anonymous
btw, some other ppl use BMF to represent a swear word combo, I think you know what that is :)
anonymous
  • anonymous
haha
anonymous
  • anonymous
means BIG MF
anonymous
  • anonymous
but it is just a coinsidense...
anonymous
  • anonymous
Since your exam covers English, if see a mistake, do you want me to correct it?
anonymous
  • anonymous
coincidence
anonymous
  • anonymous
:) thanks, I am really bad at spellings and grammar... still learning
anonymous
  • anonymous
pfft, you're not bad at all! I only saw one thing!
anonymous
  • anonymous
well, my written English might be OK, but my spoken is worse because of my accent
anonymous
  • anonymous
Are you tested in spoken English too?
anonymous
  • anonymous
Why are you being tested in English at all?
anonymous
  • anonymous
fortunately, no
anonymous
  • anonymous
because this university is located in Non-English speaking country, Finland, hence they need to be sure that all students know English as education in this uni is in Eng..
anonymous
  • anonymous
many ppl from all over the world come here.. from China, japan, USA, UK...
anonymous
  • anonymous
Ah, nice.
anonymous
  • anonymous
eventhough the exams are on 12th, which is in few days, I will only get the results in June.
anonymous
  • anonymous
I've been through something like that. It's hell. Are the exams only run once per year?
anonymous
  • anonymous
yeah
anonymous
  • anonymous
and hell, now I dont even know if I did the best choice by choosing Media Engineering ... I am starting to think maybe I should have taken something else.. :)
anonymous
  • anonymous
Like what?
anonymous
  • anonymous
like some more technical field, like Computer Science, or even Electronics Engineering.. because I have been doing CS and electronics all my life, but then I chose Media Engineering as it pays better :)
anonymous
  • anonymous
What do you even do in media engineering? Why don't you get into computer science or computer engineering?
anonymous
  • anonymous
well, in media engineering you do stuff like special effects for movies, you work in music studios with equipment, you build/manage TV studio equipment, you can also get into advertisement, like design TV advertisement videos... I think you get an idea, Media Engineering deals with visual presentation of info/entertainment.... something like that..
anonymous
  • anonymous
okay
anonymous
  • anonymous
and the good thing about it is that every time the job is different, so you dont really get bored, it involves lots of creativity..
anonymous
  • anonymous
but you don't get bored with computers either
anonymous
  • anonymous
yeah, if I do what ever I want with them I dont get bored, but if I had to write code for some company day after day, sont you think it can get monotonous?
anonymous
  • anonymous
Yes, totally. I see your point.
anonymous
  • anonymous
so that is why I decided to go with something I barely know..
anonymous
  • anonymous
lol, I see a weird logic to that.
anonymous
  • anonymous
and, I like challenges, so it is kind of exciting to apply for something I know nothing about... gives my a feeling of challenge, uncertainity, mental adventure LOL =D
anonymous
  • anonymous
me*
anonymous
  • anonymous
So you finished studying for the day? Isn't like 10:25 am or something over there?
anonymous
  • anonymous
yeah, 10:25... and actually I am solving problems right now... so i do two things at the same time, helps to develop my multitasking skills :)
anonymous
  • anonymous
Well, I have my own stuff that needs to get done :( Boring...so, study well...see you later :D

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