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System of nonlinear equations

  1. Aug 12, 2017 #1
    1. The problem statement, all variables and given/known data
    Find all solutions of:

    a + c = 5
    b + d + ac = 5
    ad+ bc = 5
    bd = -6

    2. Relevant equations


    3. The attempt at a solution
    I tried subsitution and end up with a cubic equations. I am pretty sure it can be done easier.
     
  2. jcsd
  3. Aug 12, 2017 #2

    phyzguy

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    Science Advisor

    Why do you think it can be done more simply? I got a 6th order equation. Mathematica came up with 6 solutions, two real and 4 complex. Try showing us your work.
     
  4. Aug 12, 2017 #3
    Because this is written in a high school book. So there must be something we are overlooking.
     
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