Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

kitsune0724

By factoring how do you solve 3x^2/3-11x^1/3-4=0? My teacher doesn't do substitution. please and thank you.

  • one year ago
  • one year ago

  • This Question is Closed
  1. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 1

    (3x^1/3 + 1)(x^1/3 - 4 ) = 0

    • one year ago
  2. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 1

    can you continue?

    • one year ago
  3. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 1

    3x^1/3 + 1 = 0 x^(1/3) = -1/3 x^1/3 - 4 = 0 x^1/3 = 4

    • one year ago
  4. kitsune0724
    Best Response
    You've already chosen the best response.
    Medals 0

    let me see...

    • one year ago
  5. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 1

    hint: x = x(1/3)^3

    • one year ago
  6. kitsune0724
    Best Response
    You've already chosen the best response.
    Medals 0

    (-1/3)^3 or (1/3)^3?

    • one year ago
  7. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 1

    sorry - i didn't write it corruptly (x^(1/3)^ 3 = x^(1/3 * 3) = x^1 = x or in other words you have the cube root of and you cube it - that gives you x so if you cube both sides of the equations you get the value of x e g (x^(1/3)^ 3 =( -1/3)^3 so x = - 1/3^3 = -1/27 thats one of the roots

    • one year ago
  8. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 1

    * correctly

    • one year ago
  9. kitsune0724
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you so much.

    • one year ago
  10. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 1

    note x^(1/3) is same as cube root x

    • one year ago
  11. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 1

    so to find other root you do same thing with x^1/3 = 4

    • one year ago
  12. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 1

    yw

    • one year ago
  13. kitsune0724
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you again. But do you divide x^1/3=4? Like 4/1=4.

    • one year ago
  14. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 1

    just cube both sides of th equation as we did to the first one (x^(1/3)^3 = x 4^3 = 4*4*4 = 64 x = 64

    • one year ago
  15. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 1

    i suggest you review the laws of indices x^a + x^b = x^(a+b) x^a / x^b = x^(a-b) (x^a)^b = x^(a*b) = x^ ab

    • one year ago
  16. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 1

    also |dw:1342632977864:dw|

    • one year ago
  17. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 1

    please ask if you need any more help

    • one year ago
  18. kitsune0724
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you so much.

    • one year ago
  19. cwrw238
    Best Response
    You've already chosen the best response.
    Medals 1

    yw

    • one year ago
  20. kitsune0724
    Best Response
    You've already chosen the best response.
    Medals 0

    Could you please help with another problem?

    • one year ago
    • Attachments:

See more questions >>>

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.