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anonymous

  • 5 years ago

2|x|+10=|x|+3

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  1. anonymous
    • 5 years ago
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    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?

  2. anonymous
    • 5 years ago
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    |x|= -x if x<0 & =x if x>=0

  3. anonymous
    • 5 years ago
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    yes i got the same thing :) |x|=-7

  4. anonymous
    • 5 years ago
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    so, basically, x has no solution, right?

  5. anonymous
    • 5 years ago
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    well, thanks for taking your time to help me

  6. anonymous
    • 5 years ago
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    your welcome oktal !

  7. anonymous
    • 5 years ago
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    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 .

  8. anonymous
    • 5 years ago
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    so, basically, if |x| = negative number, x ALWAYS has no solution....

  9. anonymous
    • 5 years ago
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    your explanation is good

  10. anonymous
    • 5 years ago
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    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.

  11. anonymous
    • 5 years ago
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    ok, got that :)

  12. anonymous
    • 5 years ago
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    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).

  13. anonymous
    • 5 years ago
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    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!

  14. anonymous
    • 5 years ago
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    Hope the study's going well. Say hi to BMF!

  15. anonymous
    • 5 years ago
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    =D everything is going fine.. and yeah, I will say Hi to BMF

  16. anonymous
    • 5 years ago
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    btw, some other ppl use BMF to represent a swear word combo, I think you know what that is :)

  17. anonymous
    • 5 years ago
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    haha

  18. anonymous
    • 5 years ago
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    means BIG MF

  19. anonymous
    • 5 years ago
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    but it is just a coinsidense...

  20. anonymous
    • 5 years ago
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    Since your exam covers English, if see a mistake, do you want me to correct it?

  21. anonymous
    • 5 years ago
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    coincidence

  22. anonymous
    • 5 years ago
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    :) thanks, I am really bad at spellings and grammar... still learning

  23. anonymous
    • 5 years ago
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    pfft, you're not bad at all! I only saw one thing!

  24. anonymous
    • 5 years ago
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    well, my written English might be OK, but my spoken is worse because of my accent

  25. anonymous
    • 5 years ago
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    Are you tested in spoken English too?

  26. anonymous
    • 5 years ago
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    Why are you being tested in English at all?

  27. anonymous
    • 5 years ago
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    fortunately, no

  28. anonymous
    • 5 years ago
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    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..

  29. anonymous
    • 5 years ago
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    many ppl from all over the world come here.. from China, japan, USA, UK...

  30. anonymous
    • 5 years ago
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    Ah, nice.

  31. anonymous
    • 5 years ago
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    eventhough the exams are on 12th, which is in few days, I will only get the results in June.

  32. anonymous
    • 5 years ago
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    I've been through something like that. It's hell. Are the exams only run once per year?

  33. anonymous
    • 5 years ago
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    yeah

  34. anonymous
    • 5 years ago
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    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.. :)

  35. anonymous
    • 5 years ago
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    Like what?

  36. anonymous
    • 5 years ago
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    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 :)

  37. anonymous
    • 5 years ago
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    What do you even do in media engineering? Why don't you get into computer science or computer engineering?

  38. anonymous
    • 5 years ago
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    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..

  39. anonymous
    • 5 years ago
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    okay

  40. anonymous
    • 5 years ago
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    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..

  41. anonymous
    • 5 years ago
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    but you don't get bored with computers either

  42. anonymous
    • 5 years ago
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    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?

  43. anonymous
    • 5 years ago
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    Yes, totally. I see your point.

  44. anonymous
    • 5 years ago
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    so that is why I decided to go with something I barely know..

  45. anonymous
    • 5 years ago
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    lol, I see a weird logic to that.

  46. anonymous
    • 5 years ago
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    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

  47. anonymous
    • 5 years ago
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    me*

  48. anonymous
    • 5 years ago
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    So you finished studying for the day? Isn't like 10:25 am or something over there?

  49. anonymous
    • 5 years ago
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    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 :)

  50. anonymous
    • 5 years ago
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    Well, I have my own stuff that needs to get done :( Boring...so, study well...see you later :D

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