Page 48 - Complex numbers
P. 48

Example 13:

        Find  the  complex  roots  of  the  following  cubic

        equations.

                       3
                                    2
            1. 3.84   − 2.65   − 7.17   + 7.097
                                       2
                          3
            2. −5.35   + 1.59   − 2.79   − 4.33
                                   2
                     3
            3. 8.2   − 6.43   + 9.70   + 3.27
                   3
                            2
            4. 4   − 8   + 6   − 2
        To solve cubic equations, enter ((MODE)54), then
        enter the coefficients.


                                2
                   3
        1  3.84   − 2.65   − 7.17   + 7.097
          3.84=z2.65=z7.

                      17=7.097=


                 =                    =n                     =n






        You  will  observe  there  is  one  real  root  and  two

        complex roots. As with the quadratic roots, they occur
        as  conjugate  pairs.  You  will  also  notice  the  high

        precision of the root values, it would very difficult to

        perform these calculations manually, but very easy for



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