A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing


  • 5 years ago

its says solve the euation allgebraically. Check for extraneous solutions. The equation is 2 - 3/x+4 = 12/x^2+4x

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok, so we want to remove the denominators here, and convert this into something we can nicely solve algebraically. The best way to do this is to multiply by a common denominator, a term which has all of the individual denominators as terms. In this case, that would be (x^2+4x), which can also be written x(x+4). If we multiply each term by x(x+4) we get: 2x(x+4) - 3x=12 2x^2 + 8x -3x -12 =0 2x^2 + 5x -12 =0 Now factor the result. (2x-3)(x+4)=0 x COULD be 3/2 and/or -4. We need to check as there could be extraneous roots. We try substituting x=3/2 and x=-4 in to the original equation. For x=-4, we see how the result gives us something which does not exist, a number over 0. x=3/2 makes both sides of the equation true, so it is a correct answer.

  2. 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...


  • 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.