Solve equation

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  1. zed963's Avatar
    • Overlord in Training
    • Posts: 2,136
    Solve equation
    I've been told to solve this equation and put it into surd form.

    x^2-6x+2=0

    I have never done this type of question before. What is the best way to approach and solve this question
  2. duharvalgt's Avatar
    • Exalted Member
    • Location: England
    • Posts: 360
    Re: Solve equation
    Do you know the quadratic formula?
  3. zed963's Avatar
    • Overlord in Training
    • Posts: 2,136
    Re: Solve equation
    Nope
  4. Intriguing Alias's Avatar
    • TSR Idol
    • Location: Yorkshire
    Re: Solve equation
    (Original post by zed963)
    Nope
    Surely you do.

    This one?

     x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}
  5. zed963's Avatar
    • Overlord in Training
    • Posts: 2,136
    Re: Solve equation
    Oh I've seen that on an exam paper formula sheet.
  6. TenOfThem's Avatar
    • TSR Royalty
    Re: Solve equation
    (Original post by zed963)
    I've been told to solve this equation and put it into surd form.

    x^2-6x+2=0

    I have never done this type of question before. What is the best way to approach and solve this question
    Asked by whom
    For what purpose

    There are 2 methods (essentially the same)
    Use the formula as given above
    Complete the square

    If you do not know what either of these are then you cannot do this question


    If your teacher has asked you to do this I suggest they teach you material first
  7. zed963's Avatar
    • Overlord in Training
    • Posts: 2,136
    Re: Solve equation
    (Original post by TenOfThem)
    Asked by whom
    For what purpose

    There are 2 methods (essentially the same)
    Use the formula as given above
    Complete the square

    If you do not know what either of these are then you cannot do this question


    If your teacher has asked you to do this I suggest they teach you material first
    My teacher hasn't taught me this its just in the book that i'm working from.

    And why does everything have to depend on a teacher
  8. nuodai's Avatar
    • PS Helper
    • TSR Legend
    Re: Solve equation
    (Original post by zed963)
    My teacher hasn't taught me this its just in the book that i'm working from.

    And why does everything have to depend on a teacher
    Indeed.

    If you're working through a book then it's almost definitely the case that the question you're being asked can be solved using material introduced in the preceding chapters. If the quadratic formula hasn't been introduced in the book before this question is asked, then it's likely that, at the very least, the method of completing the square has been introduced. So on that assumption, you could complete the square to get the answer.

    If you're still unsure, flick through the book to find out how to solve quadratic equations.
  9. Intriguing Alias's Avatar
    • TSR Idol
    • Location: Yorkshire
    Re: Solve equation
    (Original post by zed963)
    My teacher hasn't taught me this its just in the book that i'm working from.

    And why does everything have to depend on a teacher
    If you don't want to depend on a teacher then surely you need to actually read the bit in the book that teaches this bit. If it's asking questions without previously explaining how to tackle these questions I suggest you get a new textbook.
  10. TenOfThem's Avatar
    • TSR Royalty
    Re: Solve equation
    (Original post by zed963)

    And why does everything have to depend on a teacher

    What alternative do you suggest

    Do you think it is better asking on here rather than asking a teacher
  11. steve2005's Avatar
    • TSR Demigod
    • Location: LONDON
    Re: Solve equation
    (Original post by zed963)
    My teacher hasn't taught me this its just in the book that i'm working from.

    And why does everything have to depend on a teacher
    In your first post you said "I've been told to solve this equation and put it into surd form"

    So who TOLD you?
  12. Intriguing Alias's Avatar
    • TSR Idol
    • Location: Yorkshire
    Re: Solve equation
    (Original post by steve2005)
    In your first post you said "I've been told to solve this equation and put it into surd form"

    So who TOLD you?
    I think by told he means the question in the book says 'solve this equation and write your answer in surd form'.
  13. steve2005's Avatar
    • TSR Demigod
    • Location: LONDON
    Re: Solve equation
    (Original post by zed963)
    I've been told to solve this equation and put it into surd form.

    x^2-6x+2=0

    I have never done this type of question before. What is the best way to approach and solve this question
    I suggest you buy a textbook or take out a library book.
  14. steve2005's Avatar
    • TSR Demigod
    • Location: LONDON
    Re: Solve equation
    (Original post by hassi94)
    I think by told he means the question in the book says 'solve this equation and write your answer in surd form'.
    He is using various phrases to get us to teach him. He seems keen but unfortunately not keen enough to use a textbook or google.
  15. ThatPerson's Avatar
    • Peer Of The TSR Realm
    • Posts: 1,435
    Re: Solve equation
    (Original post by zed963)
    My teacher hasn't taught me this its just in the book that i'm working from.

    And why does everything have to depend on a teacher
    For the quadratic formula you have A, B and C, and they are in the form:

     ax^2+bx+c

    Maybe that will help. For if there is no number, just  X^2 for example, take the number as 1.
    Last edited by ThatPerson; 02-05-2012 at 22:02.
  16. Intriguing Alias's Avatar
    • TSR Idol
    • Location: Yorkshire
    Re: Solve equation
    (Original post by steve2005)
    He is using various phrases to get us to teach him. He seems keen but unfortunately not keen enough to use a textbook or google.
    I know, I agree that he needs to be a bit more independent or use his teacher.


    After all OP, this forum is for helping people when they struggle; not for outright teaching things. If you had read up about the quadratic equation but got stuck on this question then that's fine. But it's like you're not trying.
  17. Transcendence's Avatar
    • Adored and Respected Member
    • Posts: 427
    Re: Solve equation
    x²-6x+2=0

    x²-6x=-2

    x²-6x = (x-3)²-9 <--- since (x-3)² = x²-6x+9, you have to take 9.
    ------------------------------ Notice: (x-3)²... half of the 6 from x²-6x.
    (x-3)² -9=-2 <---- Equate this back to x²-6x=-2

    (x-3)²=7

    (x-3)=±√7

    x=3±√7

    So; x=3+√7 or x=3-√7
    Last edited by Transcendence; 02-05-2012 at 22:17.
  18. Intriguing Alias's Avatar
    • TSR Idol
    • Location: Yorkshire
    Re: Solve equation
    (Original post by Transcendence)
    x²-6x+2=0

    x²-6x = (x-3)²-9

    (x-3)² -9=-2

    (x-3)²=7

    (x-3)=±7

    x=3±7

    x=10 or x=-4
    Please don't give full solutions; and definitely don't give incorrect ones.
  19. zed963's Avatar
    • Overlord in Training
    • Posts: 2,136
    Re: Solve equation
  20. raheem94's Avatar
    • TSR Demigod
    • Posts: 5,512
    Re: Solve equation
    You are trying to learn concepts from scratch on TSR, it will be better if you watch video tutorials, to understand this stuff.

    If you get a difficult question that you can't solve, then you should come here for help.

    By the way, which chapter is this question from?
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