Nonlinear equations

 

In Maple

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

inputs outputs

• using decompositioni for solving high degree polynomials

  
      solve( x^8 - 8*x^7 + 34*x^6 - 92*x^5 + 175*x^4 - 236*x^3 + 226*x^2 \
             - 140*x + 46 );
  

                    1/2           1/2           1/2           1/2
           1 + 1/2 2    (- 3 + %2)   , 1 - 1/2 2    (- 3 + %2)   ,
  
                        1/2           1/2           1/2           1/2
               1 + 1/2 2    (- 3 - %2)   , 1 - 1/2 2    (- 3 - %2)   ,
  
                        1/2           1/2           1/2           1/2
               1 + 1/2 2    (- 3 + %1)   , 1 - 1/2 2    (- 3 + %1)   ,
  
                        1/2           1/2           1/2           1/2
               1 + 1/2 2    (- 3 - %1)   , 1 - 1/2 2    (- 3 - %1)
  
                                         1/2 1/2
      %1 :=                    (- 3 - 4 3   )
  
                                         1/2 1/2
      %2 :=                    (- 3 + 4 3   )

• multiple use of inversion functions

      solve( log( arccos( arcsin(x^(2/3)-b)- 1)) + 2 );
  

                           3                                    2
                  {x = \_XX1 , b = - sin(cos(exp(-2)) + 1) + \_XX1 }