C4 quick question

Maths and statistics discussion, revision, exam and homework help.

Announcements Posted on
TSR launches Learn Together! - Our new subscription to help improve your learning 16-05-2013
IMPORTANT: You must wait until midnight (morning exams)/4.30AM (afternoon exams) to discuss Edexcel exams and until 1pm/6pm the following day for STEP and IB exams. Please read before posting, including for rules for practical and oral exams. 28-04-2013
Sign in to Reply
  1. Super Mario 64's Avatar
    • Exalted Member
    • Posts: 346
    C4 quick question
    Solve for P

    P^3=21p+20

    What methods could you use?
  2. BabyMaths's Avatar
    • Peer Of The TSR Realm
    • Posts: 1,564
    Re: C4 quick question
    p^3-21p-20=0

    Look at the coeffficients. 1, -21, -20.

    With p=-1 you have -1+21-20=0.

    Next you could divide by p+1.
  3. Transcendence's Avatar
    • Adored and Respected Member
    • Posts: 427
    Re: C4 quick question
    (Original post by BabyMaths)
    p^3-21p-20=0

    Look at the coeffficients. 1, -21, -20.

    With p=-1 you have -1+21-20=0.

    Next you could divide by p+1.
    Or if it wasn't so obvious to find, the first root, you could use the Newton-Raphson method:

    Click image for larger version. 

Name:	99ca3ee7752a4df7bf1c4bbb7c963595.png 
Views:	20 
Size:	797 Bytes 
ID:	158868

    But then once the first root is found, divide through and solve the quadratic.
  4. Super Mario 64's Avatar
    • Exalted Member
    • Posts: 346
    Re: C4 quick question
    (Original post by Transcendence)
    Or if it wasn't so obvious to find, the first root, you could use the Newton-Raphson method:

    Click image for larger version. 

Name:	99ca3ee7752a4df7bf1c4bbb7c963595.png 
Views:	20 
Size:	797 Bytes 
ID:	158868

    But then once the first root is found, divide through and solve the quadratic.
    How do you know when you've found a root with the newton raphson method?
  5. james22's Avatar
    • Peer Of The TSR Realm
    • Posts: 1,980
    Re: C4 quick question
    (Original post by Super Mario 64)
    How do you know when you've found a root with the newton raphson method?
    It doesn't find roots, it approximates them.
  6. Transcendence's Avatar
    • Adored and Respected Member
    • Posts: 427
    Re: C4 quick question
    (Original post by james22)
    It doesn't find roots, it approximates them.
    When the answer on the calculator doesn't change, you've found one though tbh. It will approximate though, like he said.
  7. raheem94's Avatar
    • TSR Demigod
    • Posts: 5,512
    Re: C4 quick question
    (Original post by Super Mario 64)
    How do you know when you've found a root with the newton raphson method?
    Do it by inspection.

    Newton-Raphson is in FP1, if you are doing edexcel, so it isn't required for C4.

    You may like to read about rational root theorem if you struggle to find the obvious root.
  8. raheem94's Avatar
    • TSR Demigod
    • Posts: 5,512
    Re: C4 quick question
    (Original post by Transcendence)
    When the answer on the calculator doesn't change, you've found one though tbh. It will approximate though, like he said.
    It will take too long, its best done by inspection.
  9. Super Mario 64's Avatar
    • Exalted Member
    • Posts: 346
    Re: C4 quick question
    (Original post by raheem94)
    It will take too long, its best done by inspection.
    is inspection basically trial and error?
  10. raheem94's Avatar
    • TSR Demigod
    • Posts: 5,512
    Re: C4 quick question
    (Original post by Super Mario 64)
    is inspection basically trial and error?
    Yes. You can just try in some values and see which one is the factor.

    Or if you have a fx-991es, it can automatically find the roots of a cubic.
  11. Transcendence's Avatar
    • Adored and Respected Member
    • Posts: 427
    Re: C4 quick question
    Are the solutions up?
Sign in to Reply
Share this discussion:  
Article updates
Moderators

We have a brilliant team of more than 60 volunteers looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

Reputation gems:
The Reputation gems seen here indicate how well reputed the user is, red gem indicate negative reputation and green indicates a good rep.
Post rating score:
These scores show if a post has been positively or negatively rated by our members.