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(49.63/2)*x^2-(22/6)*x^3+(21/2)*(x-2.6)^2=123.37 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
               3                2        
 4963  2   11*x    21*(x - 13/5)    12337
-----*x  - ----- + -------------- = -----
100*2        3           2           100 
$$\frac{21 \left(x - \frac{13}{5}\right)^{2}}{2} + \left(- \frac{11 x^{3}}{3} + \frac{4963}{2 \cdot 100} x^{2}\right) = \frac{12337}{100}$$
Gráfica
Respuesta rápida [src]
                       /                             1                              \     /           /                             1                              \                                                                                                      \                                                                                                      
            25861969*re|------------------------------------------------------------|     |25861969*im|------------------------------------------------------------|                   /    /        ________________\\                   /    /        ________________\\|                   /    /        ________________\\                   /    /        ________________\\
                       |                     _______________________________________|     |           |                     _______________________________________|                   |    |28600*\/ 20568737929542 ||                   |    |28600*\/ 20568737929542 |||                   |    |28600*\/ 20568737929542 ||                   |    |28600*\/ 20568737929542 ||
                       |/          ___\     /                      ________________ |     |           |/          ___\     /                      ________________ |                   |atan|------------------------||                   |atan|------------------------|||                   |atan|------------------------||                   |atan|------------------------||
                       ||  1   I*\/ 3 |    /  21752051047   13*I*\/ 20568737929542  |     |           ||  1   I*\/ 3 |    /  21752051047   13*I*\/ 20568737929542  |     __________    |    \      21752051047       /|     __________    |    \      21752051047       /||     __________    |    \      21752051047       /|     __________    |    \      21752051047       /|
                       ||- - - -------|*3 /   ----------- + ----------------------- |     |           ||- - - -------|*3 /   ----------- + ----------------------- |   \/ 25861969 *sin|------------------------------|   \/ 77585907 *cos|------------------------------||   \/ 25861969 *cos|------------------------------|   \/ 77585907 *sin|------------------------------|
     7063              \\  2      2   / \/    10648000000           4840000         /     |           \\  2      2   / \/    10648000000           4840000         /                   \              3               /                   \              3               /|                   \              3               /                   \              3               /
x1 = ---- + ------------------------------------------------------------------------- + I*|------------------------------------------------------------------------- - ------------------------------------------------ - ------------------------------------------------| - ------------------------------------------------ + ------------------------------------------------
     2200                                    4840000                                      \                                 4840000                                                          4400                                               4400                      /                         4400                                               4400                      
$$x_{1} = - \frac{\sqrt{25861969} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{25861969 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} + \frac{\sqrt{77585907} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{7063}{2200} + i \left(- \frac{\sqrt{77585907} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} - \frac{\sqrt{25861969} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{25861969 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000}\right)$$
                       /                             1                              \     /           /                             1                              \                                                                                                      \                                                                                                      
            25861969*re|------------------------------------------------------------|     |25861969*im|------------------------------------------------------------|                   /    /        ________________\\                   /    /        ________________\\|                   /    /        ________________\\                   /    /        ________________\\
                       |                     _______________________________________|     |           |                     _______________________________________|                   |    |28600*\/ 20568737929542 ||                   |    |28600*\/ 20568737929542 |||                   |    |28600*\/ 20568737929542 ||                   |    |28600*\/ 20568737929542 ||
                       |/          ___\     /                      ________________ |     |           |/          ___\     /                      ________________ |                   |atan|------------------------||                   |atan|------------------------|||                   |atan|------------------------||                   |atan|------------------------||
                       ||  1   I*\/ 3 |    /  21752051047   13*I*\/ 20568737929542  |     |           ||  1   I*\/ 3 |    /  21752051047   13*I*\/ 20568737929542  |     __________    |    \      21752051047       /|     __________    |    \      21752051047       /||     __________    |    \      21752051047       /|     __________    |    \      21752051047       /|
                       ||- - + -------|*3 /   ----------- + ----------------------- |     |           ||- - + -------|*3 /   ----------- + ----------------------- |   \/ 25861969 *sin|------------------------------|   \/ 77585907 *cos|------------------------------||   \/ 25861969 *cos|------------------------------|   \/ 77585907 *sin|------------------------------|
     7063              \\  2      2   / \/    10648000000           4840000         /     |           \\  2      2   / \/    10648000000           4840000         /                   \              3               /                   \              3               /|                   \              3               /                   \              3               /
x2 = ---- + ------------------------------------------------------------------------- + I*|------------------------------------------------------------------------- - ------------------------------------------------ + ------------------------------------------------| - ------------------------------------------------ - ------------------------------------------------
     2200                                    4840000                                      \                                 4840000                                                          4400                                               4400                      /                         4400                                               4400                      
$$x_{2} = \frac{25861969 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} - \frac{\sqrt{25861969} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} - \frac{\sqrt{77585907} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{7063}{2200} + i \left(\frac{25861969 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} - \frac{\sqrt{25861969} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{\sqrt{77585907} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400}\right)$$
                 _______________________________________                                                       
                /                      ________________                                                        
     7063      /  21752051047   13*I*\/ 20568737929542                           25861969                      
x3 = ---- + 3 /   ----------- + -----------------------  + ----------------------------------------------------
     2200   \/    10648000000           4840000                         _______________________________________
                                                                       /                      ________________ 
                                                                      /  21752051047   13*I*\/ 20568737929542  
                                                           4840000*3 /   ----------- + ----------------------- 
                                                                   \/    10648000000           4840000         
$$x_{3} = \frac{7063}{2200} + \frac{25861969}{4840000 \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}} + \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}$$
x3 = 7063/2200 + 25861969/(4840000*(21752051047/10648000000 + 13*sqrt(20568737929542)*i/4840000)^(1/3)) + (21752051047/10648000000 + 13*sqrt(20568737929542)*i/4840000)^(1/3)
Suma y producto de raíces [src]
suma
                  /                             1                              \     /           /                             1                              \                                                                                                      \                                                                                                                           /                             1                              \     /           /                             1                              \                                                                                                      \                                                                                                                                                                                                                   
       25861969*re|------------------------------------------------------------|     |25861969*im|------------------------------------------------------------|                   /    /        ________________\\                   /    /        ________________\\|                   /    /        ________________\\                   /    /        ________________\\          25861969*re|------------------------------------------------------------|     |25861969*im|------------------------------------------------------------|                   /    /        ________________\\                   /    /        ________________\\|                   /    /        ________________\\                   /    /        ________________\\                                                                                                             
                  |                     _______________________________________|     |           |                     _______________________________________|                   |    |28600*\/ 20568737929542 ||                   |    |28600*\/ 20568737929542 |||                   |    |28600*\/ 20568737929542 ||                   |    |28600*\/ 20568737929542 ||                     |                     _______________________________________|     |           |                     _______________________________________|                   |    |28600*\/ 20568737929542 ||                   |    |28600*\/ 20568737929542 |||                   |    |28600*\/ 20568737929542 ||                   |    |28600*\/ 20568737929542 ||                                                                                                             
                  |/          ___\     /                      ________________ |     |           |/          ___\     /                      ________________ |                   |atan|------------------------||                   |atan|------------------------|||                   |atan|------------------------||                   |atan|------------------------||                     |/          ___\     /                      ________________ |     |           |/          ___\     /                      ________________ |                   |atan|------------------------||                   |atan|------------------------|||                   |atan|------------------------||                   |atan|------------------------||                                                                                                             
                  ||  1   I*\/ 3 |    /  21752051047   13*I*\/ 20568737929542  |     |           ||  1   I*\/ 3 |    /  21752051047   13*I*\/ 20568737929542  |     __________    |    \      21752051047       /|     __________    |    \      21752051047       /||     __________    |    \      21752051047       /|     __________    |    \      21752051047       /|                     ||  1   I*\/ 3 |    /  21752051047   13*I*\/ 20568737929542  |     |           ||  1   I*\/ 3 |    /  21752051047   13*I*\/ 20568737929542  |     __________    |    \      21752051047       /|     __________    |    \      21752051047       /||     __________    |    \      21752051047       /|     __________    |    \      21752051047       /|               _______________________________________                                                       
                  ||- - - -------|*3 /   ----------- + ----------------------- |     |           ||- - - -------|*3 /   ----------- + ----------------------- |   \/ 25861969 *sin|------------------------------|   \/ 77585907 *cos|------------------------------||   \/ 25861969 *cos|------------------------------|   \/ 77585907 *sin|------------------------------|                     ||- - + -------|*3 /   ----------- + ----------------------- |     |           ||- - + -------|*3 /   ----------- + ----------------------- |   \/ 25861969 *sin|------------------------------|   \/ 77585907 *cos|------------------------------||   \/ 25861969 *cos|------------------------------|   \/ 77585907 *sin|------------------------------|              /                      ________________                                                        
7063              \\  2      2   / \/    10648000000           4840000         /     |           \\  2      2   / \/    10648000000           4840000         /                   \              3               /                   \              3               /|                   \              3               /                   \              3               /   7063              \\  2      2   / \/    10648000000           4840000         /     |           \\  2      2   / \/    10648000000           4840000         /                   \              3               /                   \              3               /|                   \              3               /                   \              3               /   7063      /  21752051047   13*I*\/ 20568737929542                           25861969                      
---- + ------------------------------------------------------------------------- + I*|------------------------------------------------------------------------- - ------------------------------------------------ - ------------------------------------------------| - ------------------------------------------------ + ------------------------------------------------ + ---- + ------------------------------------------------------------------------- + I*|------------------------------------------------------------------------- - ------------------------------------------------ + ------------------------------------------------| - ------------------------------------------------ - ------------------------------------------------ + ---- + 3 /   ----------- + -----------------------  + ----------------------------------------------------
2200                                    4840000                                      \                                 4840000                                                          4400                                               4400                      /                         4400                                               4400                         2200                                    4840000                                      \                                 4840000                                                          4400                                               4400                      /                         4400                                               4400                         2200   \/    10648000000           4840000                         _______________________________________
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                /                      ________________ 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               /  21752051047   13*I*\/ 20568737929542  
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    4840000*3 /   ----------- + ----------------------- 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            \/    10648000000           4840000         
$$\left(\frac{7063}{2200} + \frac{25861969}{4840000 \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}} + \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}\right) + \left(\left(\frac{25861969 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} - \frac{\sqrt{25861969} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} - \frac{\sqrt{77585907} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{7063}{2200} + i \left(\frac{25861969 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} - \frac{\sqrt{25861969} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{\sqrt{77585907} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400}\right)\right) + \left(- \frac{\sqrt{25861969} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{25861969 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} + \frac{\sqrt{77585907} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{7063}{2200} + i \left(- \frac{\sqrt{77585907} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} - \frac{\sqrt{25861969} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{25861969 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000}\right)\right)\right)$$
=
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                                                                                                              25861969*re|------------------------------------------------------------|   25861969*re|------------------------------------------------------------|     |25861969*im|------------------------------------------------------------|                   /    /        ________________\\                   /    /        ________________\\|     |25861969*im|------------------------------------------------------------|                   /    /        ________________\\                   /    /        ________________\\|                   /    /        ________________\\
                                                                                                                         |                     _______________________________________|              |                     _______________________________________|     |           |                     _______________________________________|                   |    |28600*\/ 20568737929542 ||                   |    |28600*\/ 20568737929542 |||     |           |                     _______________________________________|                   |    |28600*\/ 20568737929542 ||                   |    |28600*\/ 20568737929542 |||                   |    |28600*\/ 20568737929542 ||
                                                                                                                         |/          ___\     /                      ________________ |              |/          ___\     /                      ________________ |     |           |/          ___\     /                      ________________ |                   |atan|------------------------||                   |atan|------------------------|||     |           |/          ___\     /                      ________________ |                   |atan|------------------------||                   |atan|------------------------|||                   |atan|------------------------||
             _______________________________________                                                                     ||  1   I*\/ 3 |    /  21752051047   13*I*\/ 20568737929542  |              ||  1   I*\/ 3 |    /  21752051047   13*I*\/ 20568737929542  |     |           ||  1   I*\/ 3 |    /  21752051047   13*I*\/ 20568737929542  |     __________    |    \      21752051047       /|     __________    |    \      21752051047       /||     |           ||  1   I*\/ 3 |    /  21752051047   13*I*\/ 20568737929542  |     __________    |    \      21752051047       /|     __________    |    \      21752051047       /||     __________    |    \      21752051047       /|
            /                      ________________                                                                      ||- - + -------|*3 /   ----------- + ----------------------- |              ||- - - -------|*3 /   ----------- + ----------------------- |     |           ||- - + -------|*3 /   ----------- + ----------------------- |   \/ 25861969 *sin|------------------------------|   \/ 77585907 *cos|------------------------------||     |           ||- - - -------|*3 /   ----------- + ----------------------- |   \/ 25861969 *sin|------------------------------|   \/ 77585907 *cos|------------------------------||   \/ 25861969 *cos|------------------------------|
21189      /  21752051047   13*I*\/ 20568737929542                           25861969                                    \\  2      2   / \/    10648000000           4840000         /              \\  2      2   / \/    10648000000           4840000         /     |           \\  2      2   / \/    10648000000           4840000         /                   \              3               /                   \              3               /|     |           \\  2      2   / \/    10648000000           4840000         /                   \              3               /                   \              3               /|                   \              3               /
----- + 3 /   ----------- + -----------------------  + ---------------------------------------------------- + ------------------------------------------------------------------------- + ------------------------------------------------------------------------- + I*|------------------------------------------------------------------------- - ------------------------------------------------ + ------------------------------------------------| + I*|------------------------------------------------------------------------- - ------------------------------------------------ - ------------------------------------------------| - ------------------------------------------------
 2200   \/    10648000000           4840000                         _______________________________________                                    4840000                                                                     4840000                                      \                                 4840000                                                          4400                                               4400                      /     \                                 4840000                                                          4400                                               4400                      /                         2200                      
                                                                   /                      ________________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
                                                                  /  21752051047   13*I*\/ 20568737929542                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         
                                                       4840000*3 /   ----------- + -----------------------                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
                                                               \/    10648000000           4840000                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
$$- \frac{\sqrt{25861969} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{2200} + \frac{25861969 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} + \frac{25861969 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} + \frac{21189}{2200} + \frac{25861969}{4840000 \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}} + i \left(- \frac{\sqrt{77585907} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} - \frac{\sqrt{25861969} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{25861969 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000}\right) + i \left(\frac{25861969 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} - \frac{\sqrt{25861969} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{\sqrt{77585907} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400}\right) + \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}$$
producto
/                  /                             1                              \     /           /                             1                              \                                                                                                      \                                                                                                      \ /                  /                             1                              \     /           /                             1                              \                                                                                                      \                                                                                                      \                                                                                                             
|       25861969*re|------------------------------------------------------------|     |25861969*im|------------------------------------------------------------|                   /    /        ________________\\                   /    /        ________________\\|                   /    /        ________________\\                   /    /        ________________\\| |       25861969*re|------------------------------------------------------------|     |25861969*im|------------------------------------------------------------|                   /    /        ________________\\                   /    /        ________________\\|                   /    /        ________________\\                   /    /        ________________\\|                                                                                                             
|                  |                     _______________________________________|     |           |                     _______________________________________|                   |    |28600*\/ 20568737929542 ||                   |    |28600*\/ 20568737929542 |||                   |    |28600*\/ 20568737929542 ||                   |    |28600*\/ 20568737929542 ||| |                  |                     _______________________________________|     |           |                     _______________________________________|                   |    |28600*\/ 20568737929542 ||                   |    |28600*\/ 20568737929542 |||                   |    |28600*\/ 20568737929542 ||                   |    |28600*\/ 20568737929542 |||                                                                                                             
|                  |/          ___\     /                      ________________ |     |           |/          ___\     /                      ________________ |                   |atan|------------------------||                   |atan|------------------------|||                   |atan|------------------------||                   |atan|------------------------||| |                  |/          ___\     /                      ________________ |     |           |/          ___\     /                      ________________ |                   |atan|------------------------||                   |atan|------------------------|||                   |atan|------------------------||                   |atan|------------------------|||                                                                                                             
|                  ||  1   I*\/ 3 |    /  21752051047   13*I*\/ 20568737929542  |     |           ||  1   I*\/ 3 |    /  21752051047   13*I*\/ 20568737929542  |     __________    |    \      21752051047       /|     __________    |    \      21752051047       /||     __________    |    \      21752051047       /|     __________    |    \      21752051047       /|| |                  ||  1   I*\/ 3 |    /  21752051047   13*I*\/ 20568737929542  |     |           ||  1   I*\/ 3 |    /  21752051047   13*I*\/ 20568737929542  |     __________    |    \      21752051047       /|     __________    |    \      21752051047       /||     __________    |    \      21752051047       /|     __________    |    \      21752051047       /|| /            _______________________________________                                                       \
|                  ||- - - -------|*3 /   ----------- + ----------------------- |     |           ||- - - -------|*3 /   ----------- + ----------------------- |   \/ 25861969 *sin|------------------------------|   \/ 77585907 *cos|------------------------------||   \/ 25861969 *cos|------------------------------|   \/ 77585907 *sin|------------------------------|| |                  ||- - + -------|*3 /   ----------- + ----------------------- |     |           ||- - + -------|*3 /   ----------- + ----------------------- |   \/ 25861969 *sin|------------------------------|   \/ 77585907 *cos|------------------------------||   \/ 25861969 *cos|------------------------------|   \/ 77585907 *sin|------------------------------|| |           /                      ________________                                                        |
|7063              \\  2      2   / \/    10648000000           4840000         /     |           \\  2      2   / \/    10648000000           4840000         /                   \              3               /                   \              3               /|                   \              3               /                   \              3               /| |7063              \\  2      2   / \/    10648000000           4840000         /     |           \\  2      2   / \/    10648000000           4840000         /                   \              3               /                   \              3               /|                   \              3               /                   \              3               /| |7063      /  21752051047   13*I*\/ 20568737929542                           25861969                      |
|---- + ------------------------------------------------------------------------- + I*|------------------------------------------------------------------------- - ------------------------------------------------ - ------------------------------------------------| - ------------------------------------------------ + ------------------------------------------------|*|---- + ------------------------------------------------------------------------- + I*|------------------------------------------------------------------------- - ------------------------------------------------ + ------------------------------------------------| - ------------------------------------------------ - ------------------------------------------------|*|---- + 3 /   ----------- + -----------------------  + ----------------------------------------------------|
\2200                                    4840000                                      \                                 4840000                                                          4400                                               4400                      /                         4400                                               4400                      / \2200                                    4840000                                      \                                 4840000                                                          4400                                               4400                      /                         4400                                               4400                      / |2200   \/    10648000000           4840000                         _______________________________________|
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              |                                                                  /                      ________________ |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              |                                                                 /  21752051047   13*I*\/ 20568737929542  |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              |                                                      4840000*3 /   ----------- + ----------------------- |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \                                                              \/    10648000000           4840000         /
$$\left(- \frac{\sqrt{25861969} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{25861969 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} + \frac{\sqrt{77585907} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{7063}{2200} + i \left(- \frac{\sqrt{77585907} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} - \frac{\sqrt{25861969} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{25861969 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000}\right)\right) \left(\frac{25861969 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} - \frac{\sqrt{25861969} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} - \frac{\sqrt{77585907} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{7063}{2200} + i \left(\frac{25861969 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}}\right)}}{4840000} - \frac{\sqrt{25861969} \sin{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400} + \frac{\sqrt{77585907} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}}{4400}\right)\right) \left(\frac{7063}{2200} + \frac{25861969}{4840000 \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}} + \sqrt[3]{\frac{21752051047}{10648000000} + \frac{13 \sqrt{20568737929542} i}{4840000}}\right)$$
=
                                                                                                                  /                       /      /        ________________\\                         /    /        ________________\\\
                                                                                                                  |                       |      |28600*\/ 20568737929542 ||                         |    |28600*\/ 20568737929542 |||
/              __________________________________________ /          __________________________________________\\ |                       |2*atan|------------------------||                         |atan|------------------------|||
|           3 /                         ________________  |       3 /                         ________________ || |                       |      \      21752051047       /|           __________    |    \      21752051047       /||
\25861969 + \/  21752051047 + 28600*I*\/ 20568737929542  *\7063 + \/  21752051047 + 28600*I*\/ 20568737929542  //*|24024000 + 51723938*cos|--------------------------------| - 14126*\/ 25861969 *cos|------------------------------||
                                                                                                                  \                       \               3                /                         \              3               //
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                                                                                                  3 /                         ________________                                                                                        
                                                                                      10648000000*\/  21752051047 + 28600*I*\/ 20568737929542                                                                                         
$$\frac{\left(25861969 + \left(7063 + \sqrt[3]{21752051047 + 28600 \sqrt{20568737929542} i}\right) \sqrt[3]{21752051047 + 28600 \sqrt{20568737929542} i}\right) \left(- 14126 \sqrt{25861969} \cos{\left(\frac{\operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)} + 24024000 + 51723938 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{28600 \sqrt{20568737929542}}{21752051047} \right)}}{3} \right)}\right)}{10648000000 \sqrt[3]{21752051047 + 28600 \sqrt{20568737929542} i}}$$
(25861969 + (21752051047 + 28600*i*sqrt(20568737929542))^(1/3)*(7063 + (21752051047 + 28600*i*sqrt(20568737929542))^(1/3)))*(24024000 + 51723938*cos(2*atan(28600*sqrt(20568737929542)/21752051047)/3) - 14126*sqrt(25861969)*cos(atan(28600*sqrt(20568737929542)/21752051047)/3))/(10648000000*(21752051047 + 28600*i*sqrt(20568737929542))^(1/3))
Respuesta numérica [src]
x1 = -0.659213334678267
x2 = 2.95453543063743
x3 = 7.33604154040447
x3 = 7.33604154040447