A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

nosnip

  • one year ago

How to I factorise/solve this equation?

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

    \[y ^{2} - x - 6x ^{2}\]

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

    = 0

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

    Do you know what type of equation it even is so I can google it?

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

    you can rearrange it \[y^2−x−6x^2 = 0\] \[0 = 6x^2+x-y^2\] so it looks like a quadratic, where \(a= 6\), \(b=1\), \(c=-y^2\) solve with the quadratic formula

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

    ah okay that's I wasn't sure if it was a quadratic :)

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

    (i'm assuming there is no other information give about y)

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

    well it's part of a simultaneous equation? I'm confused because it's a non-calculator question and this seems difficult without a calculator

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

    \[y - 3x + 2 = 0\] \[y ^{2} - x - 6x ^{2} = 0\]

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

    so you have two equations?

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

    What do you get if you solve the first one \[y-3x+2=0\]for \(y\)?

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

    y = 3x + 2

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

    substitute this into the second equation \[y^2−x−6x^2=0\\ \downarrow\\ (3x + 2)^2-x-6x^2 =0\] This is a quadratic equation in \(x\), solve for both values of \(x\)

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

    (after simplifying)

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

    okay give me a second :)

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

    Do you get the quadratic \[3x ^{2} + 11x + 4 = 0\]

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

    almost, but the middle term isn't right

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

    I'm not sure what else it could be?

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

    What did you get for the expansion of \[(3x-2)^2=\]

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

    \[9x ^{2} + 12x +4\]

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

    \[(a-b)^2=a^2-2ab+b^2\]

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

    I'm still not seeing where I went wrong sorry!

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

    the +12 should be -12

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

    ooh yes sorry you're right okay I can do it myself from there thankyou :)

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

    I've got to go out but thatnlyou for your help I will give it a go later

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

    you should now use the quadratic formula on the right (simplified) quadratic equation to get two nice values of x, then back substitute into equation 1, to get the corresponding y's

  26. 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.