Nonlinear equations

 

In Derive

For comparison with other CAS choose from: Axiom Macsyma Maple Mathematica Reduce

inputs outputs

• solving polynomial equations

      x^3 + 5 x^2 - x + 2
  

       3      2
      x  + 5 x  - x + 2
  
  
               3777     349  1/3     349      3777  1/3    5
      x = -  ------- + -----     -  ----- - -------     - ---
               18       54           54       18           3
  
  
             3777     349  1/3     349      3777  1/3    5         77897
      x =  ------- + -----     +  ----- - -------     - --- + i   -------
             144      432          432      144          3         3456
  
  
                 349  3777  1/6     349  3777     77897  1/6 
              - -----------     -  ----------- + -------     
                   1152               1152        3456       
  
  
             3777     349  1/3     349      3777  1/3    5        
      x =  ------- + -----     +  ----- - -------     - --- + i   
             144      432          432      144          3        
  
  
              349  3777     77897  1/6     77897     349  3777  1/6 
             ----------- + -------     -  ------- - -----------     
                1152        3456           3456        1152

• multiple use of inversion functions

      LOG(ACOS(ASIN(x^(2/3) - b) - 1))
  

                        2/3
      LOG (ACOS (ASIN (x    - b) - 1))
  
  
       1/3
      x    = -  (SIN (COS (1) + 1) + b)
  
  
       1/3
      x    =  (SIN (COS (1) + 1) + b)