Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

EmmaH

  • 2 years ago

Solve by factoring: 3x^2 + 2x - 1 = 0 {-1, 2/3} {1, -2/3} {-1, 1/3} {1, -1/3}

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

    please explain how i find this

  2. JamesJ
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    well, dividing first by 3, we have \[ x^2 + \frac{2}{3}x - \frac{1}{3} = 0 \] Now, you want factors of -1/3 that add up to 2/3

  3. Hero
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @EmmaH, the steps for solving this are the same as what I showed you in the previous problem.

  4. EmmaH
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    divide what by three?

  5. Hero
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I'll even give you a hint, but you have to solve the rest yourself: Given: \(3x^2 + 2x - 1\) Split the middle term: \(3x^2 + 3x - 1x - 1\) Now factor by grouping

  6. EmmaH
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    (3x^2+3x) + (-1x-1)?

  7. Hero
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Okay, now what's the next step?

  8. Hero
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Do you know how to factor \(3x^2 + 3x\) ?

  9. EmmaH
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    3x(1x+1)

  10. Hero
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes, or simply 3x(x + 1) Writing 1 before the x is not necessary. Now factor (-1x - 1). Let me know what you get.

  11. EmmaH
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ?

  12. JamesJ
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Well, you have a factor of (x+1) above where you wrote 3x(x+1) Can you get a factor of (x+1) out of (-1x - 1) ?

  13. EmmaH
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what do you mean?

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

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.