A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

.

  • This Question is Closed
  1. Vocaloid
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    well, sometimes when you solve an equation and end up with an "x" value, the x-value doesn't make the equation true when you plug it back in, because it isn't in the domain of the original function in short: an extraneous solution is like a "fake" solution that you find that doesn't make the equation true when you plug it back in

  2. Vocaloid
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    so, looking at our problem, do you know how to solve for x?

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    can you subtract 1/(x+4)?

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i like how i tag @vocaloid and3 other people come xd

  5. Vocaloid
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    well, technically yes, but in this case we want to try a different method this equation doesn't have any real (non-extraneous solutions) but we want to find the "fake" extraneous one

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay then idk

  7. Vocaloid
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    so, we multiply everything by (x+4) to get rid of the denominator

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oohhhhh okay

  9. Vocaloid
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    that gives us 1 + (1/2)(x+4) = 1 can you try solving for x now?

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    First can you subtract the one?

  11. Vocaloid
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    yes, just treat it like a normal equation

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how do you multiply 1/2 by x+4

  13. Vocaloid
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    you don't have to after you subtract 1 from both sides, we have (1/2)(x+4) = 0 now divide both sides by (1/2), what do you get?

  14. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    x+4=0 lol sorry i knew that i don't know why i forgot You get -4 right?

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so its B?

  16. Vocaloid
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    nope, not B, hang with me for a sec ;) x = -4 is called an "extraneous solution" although we got x = -4 as an answer, when we plug x = -4 back into the original equation, we can see that the denominator of the first fraction becomes 0, x = -4 isn't a "real" solution

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh A

  18. Vocaloid
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    right-o

  19. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    can u help me with a few more?

  20. Vocaloid
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    sure, post a new q and tag me

  21. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    k

  22. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.