A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Falling_In_Katt

  • one year ago

***WILL MEDAL*** Solve this equation by completing the square. 3x^2 - 4x = -2

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

    Do you know the steps to complete the square?

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

    no...

  3. ChillOut
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    All right. Here you go. Divide the whole equation by whatever is multiplying the squared term. In this cae you have to divide everything by 3. By doing this, you have \(x^{2}-\frac{4}{3}x=\frac{-2}{3}\)

  4. ChillOut
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Then you take half of the "x" coefficient (\(\frac{4}{3}\)), square it and add to both sides.

  5. ChillOut
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Which means you will be adding \((\frac{2}{3})^{2}\) to both sides.

  6. ChillOut
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    By doing this, you will have \(x^{2}-\frac{4}{3}x+ \frac{4}{9}=\frac{-2}{3}+\frac{4}{9}\)

  7. ChillOut
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Do you see that the left side can be rewritten as a perfect square?

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

    yes

  9. ChillOut
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    And that's it! Rewrite the left side, simplify the right side and you will *ALMOST* have your answer. Can you finish it?

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

    i can try

  11. ChillOut
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Take your chances :3

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

    Im trying to square the left side and its not working

  13. ChillOut
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Well, rewriting it as a square we have \((x-\frac{2}{3})^{2}\)

  14. ChillOut
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    check?

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

    4/9?

  16. ChillOut
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Reminder that \((a-b)^{2}=a^{2}-2ab+b^{2}\) Moving on... We have \((x-\frac{2}{3})^{2}=\frac{-2}{9}\) and \(x-\frac{2}{3}=±\sqrt{\frac{-2}{9}}\) This problem WILL NOT have answers in the set of reals, ONLY in the set of complex numbers.

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

    Oh. That makes more sense.

  18. ChillOut
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Does it ask for its roots?

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

    No

  20. ChillOut
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Well, then there you have your answer. :D

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

    Thank you

  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.