Hey there! Sign in to join this conversationNew here? Join for free

Need help with imaginary number simultaneous equation Watch

Announcements
    • Thread Starter
    Offline

    4
    ReputationRep:
    Name:  image.jpg
Views: 32
Size:  383.3 KB

    Please help solve this it's bugging me a lot

    z^2 - w^2 = -2+16i
    z + iw = 4+4i


    Thanks
    Offline

    15
    ReputationRep:
    (Original post by FlyingPooMan)
    Name:  image.jpg
Views: 32
Size:  383.3 KB

    Please help solve this it's bugging me a lot

    z^2 - w^2 = -2+16i
    z + iw = 4+4i


    Thanks
    Find w in terms of z or z in terms of w in second equation, then sub that expression into the first equation.
    • Thread Starter
    Offline

    4
    ReputationRep:
    (Original post by B_9710)
    Find w in terms of z or z in terms of w in second equation, then sub that expression into the first equation.
    I have tried both and cannot end up with the right answer. I got to z^2 -4z +1 = 4zi -8i
    But I need z in the form of a+bi
    Offline

    1
    ReputationRep:
    (Original post by FlyingPooMan)
    I have tried both and cannot end up with the right answer. I got to z^2 -4z +1 = 4zi -8i
    But I need z in the form of a+bi
    You can rearrange that to get the quadratic z^2 - (4+4i)z + (1+8i) = 0
    You can now complete the square, or use the quadratic formula, to find z, where a=1, b=-(4+4i) and c=(1+8i)
    • Thread Starter
    Offline

    4
    ReputationRep:
    (Original post by ejteb)
    You can rearrange that to get the quadratic z^2 - (4+4i)z + (1+8i) = 0
    You can now complete the square, or use the quadratic formula, to find z, where a=1, b=-(4+4i) and c=(1+8i)
    Thanks man!! I got the right answer it was really clever how you arranged them in quadratic form
 
 
 
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • Poll
    How are your GCSEs going so far?
    Useful resources

    Make your revision easier

    Maths

    Maths Forum posting guidelines

    Not sure where to post? Read the updated guidelines here

    Equations

    How to use LaTex

    Writing equations the easy way

    Student revising

    Study habits of A* students

    Top tips from students who have already aced their exams

    Study Planner

    Create your own Study Planner

    Never miss a deadline again

    Polling station sign

    Thinking about a maths degree?

    Chat with other maths applicants

    Can you help? Study help unanswered threads

    Groups associated with this forum:

    View associated groups
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

    Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

    Quick reply
    Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.