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x-(2974,69/(24*x^2))=-42,29 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
      297469    -4229 
x - --------- = ------
            2    100  
    100*24*x          
$$x - \frac{297469}{100 \cdot 24 x^{2}} = - \frac{4229}{100}$$
Gráfica
Respuesta rápida [src]
                         /                              1                              \                                                /             /                              1                              \                                                                                            \                                                 
              17884441*re|-------------------------------------------------------------|           /    /     ___________________\\     |  17884441*im|-------------------------------------------------------------|           /    /     ___________________\\                 /    /     ___________________\\|                 /    /     ___________________\\
                         |                     ________________________________________|           |    |75*\/ 44499380915263057 ||     |             |                     ________________________________________|           |    |75*\/ 44499380915263057 ||                 |    |75*\/ 44499380915263057 |||                 |    |75*\/ 44499380915263057 ||
                         |/          ___\     /                    ___________________ |           |atan|------------------------||     |             |/          ___\     /                    ___________________ |           |atan|------------------------||                 |atan|------------------------|||                 |atan|------------------------||
                         ||  1   I*\/ 3 |    /  9245004733   3*I*\/ 44499380915263057  |           |    \      73960037864       /|     |             ||  1   I*\/ 3 |    /  9245004733   3*I*\/ 44499380915263057  |           |    \      73960037864       /|          ___    |    \      73960037864       /||          ___    |    \      73960037864       /|
                         ||- - - -------|*3 /   ---------- + ------------------------- |   4229*cos|------------------------------|     |             ||- - - -------|*3 /   ---------- + ------------------------- |   4229*sin|------------------------------|   4229*\/ 3 *cos|------------------------------||   4229*\/ 3 *sin|------------------------------|
       4229              \\  2      2   / \/      125000               40000           /           \              3               /     |             \\  2      2   / \/      125000               40000           /           \              3               /                 \              3               /|                 \              3               /
x1 = - ---- - -------------------------------------------------------------------------- + ---------------------------------------- + I*|- -------------------------------------------------------------------------- + ---------------------------------------- + ----------------------------------------------| - ----------------------------------------------
       300                                      30000                                                        600                        \                                    30000                                                        600                                           600                      /                        600                      
$$x_{1} = - \frac{4229}{300} - \frac{4229 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} - \frac{17884441 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}\right)}}{30000} + \frac{4229 \cos{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} + i \left(- \frac{17884441 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}\right)}}{30000} + \frac{4229 \sin{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} + \frac{4229 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600}\right)$$
                         /                              1                              \                                                /             /                              1                              \                                                                                            \                                                 
              17884441*re|-------------------------------------------------------------|           /    /     ___________________\\     |  17884441*im|-------------------------------------------------------------|           /    /     ___________________\\                 /    /     ___________________\\|                 /    /     ___________________\\
                         |                     ________________________________________|           |    |75*\/ 44499380915263057 ||     |             |                     ________________________________________|           |    |75*\/ 44499380915263057 ||                 |    |75*\/ 44499380915263057 |||                 |    |75*\/ 44499380915263057 ||
                         |/          ___\     /                    ___________________ |           |atan|------------------------||     |             |/          ___\     /                    ___________________ |           |atan|------------------------||                 |atan|------------------------|||                 |atan|------------------------||
                         ||  1   I*\/ 3 |    /  9245004733   3*I*\/ 44499380915263057  |           |    \      73960037864       /|     |             ||  1   I*\/ 3 |    /  9245004733   3*I*\/ 44499380915263057  |           |    \      73960037864       /|          ___    |    \      73960037864       /||          ___    |    \      73960037864       /|
                         ||- - + -------|*3 /   ---------- + ------------------------- |   4229*cos|------------------------------|     |             ||- - + -------|*3 /   ---------- + ------------------------- |   4229*sin|------------------------------|   4229*\/ 3 *cos|------------------------------||   4229*\/ 3 *sin|------------------------------|
       4229              \\  2      2   / \/      125000               40000           /           \              3               /     |             \\  2      2   / \/      125000               40000           /           \              3               /                 \              3               /|                 \              3               /
x2 = - ---- - -------------------------------------------------------------------------- + ---------------------------------------- + I*|- -------------------------------------------------------------------------- + ---------------------------------------- - ----------------------------------------------| + ----------------------------------------------
       300                                      30000                                                        600                        \                                    30000                                                        600                                           600                      /                        600                      
$$x_{2} = - \frac{4229}{300} + \frac{4229 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} + \frac{4229 \cos{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} - \frac{17884441 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}\right)}}{30000} + i \left(- \frac{4229 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} + \frac{4229 \sin{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} - \frac{17884441 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}\right)}}{30000}\right)$$
                                                                         ________________________________________
                                                                        /                    ___________________ 
                                                                       /  9245004733   3*I*\/ 44499380915263057  
                                                                    3 /   ---------- + ------------------------- 
       4229                         17884441                        \/      125000               40000           
x3 = - ---- - --------------------------------------------------- - ---------------------------------------------
       300               ________________________________________                         3                      
                        /                    ___________________                                                 
                       /  9245004733   3*I*\/ 44499380915263057                                                  
              30000*3 /   ---------- + -------------------------                                                 
                    \/      125000               40000                                                           
$$x_{3} = - \frac{4229}{300} - \frac{\sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}{3} - \frac{17884441}{30000 \sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}$$
x3 = -4229/300 - (9245004733/125000 + 3*sqrt(44499380915263057)*i/40000)^(1/3)/3 - 17884441/(30000*(9245004733/125000 + 3*sqrt(44499380915263057)*i/40000)^(1/3))
Suma y producto de raíces [src]
suma
                    /                              1                              \                                                /             /                              1                              \                                                                                            \                                                                        /                              1                              \                                                /             /                              1                              \                                                                                            \                                                                                                                                                                
         17884441*re|-------------------------------------------------------------|           /    /     ___________________\\     |  17884441*im|-------------------------------------------------------------|           /    /     ___________________\\                 /    /     ___________________\\|                 /    /     ___________________\\            17884441*re|-------------------------------------------------------------|           /    /     ___________________\\     |  17884441*im|-------------------------------------------------------------|           /    /     ___________________\\                 /    /     ___________________\\|                 /    /     ___________________\\                                                                                                               
                    |                     ________________________________________|           |    |75*\/ 44499380915263057 ||     |             |                     ________________________________________|           |    |75*\/ 44499380915263057 ||                 |    |75*\/ 44499380915263057 |||                 |    |75*\/ 44499380915263057 ||                       |                     ________________________________________|           |    |75*\/ 44499380915263057 ||     |             |                     ________________________________________|           |    |75*\/ 44499380915263057 ||                 |    |75*\/ 44499380915263057 |||                 |    |75*\/ 44499380915263057 ||                                                                       ________________________________________
                    |/          ___\     /                    ___________________ |           |atan|------------------------||     |             |/          ___\     /                    ___________________ |           |atan|------------------------||                 |atan|------------------------|||                 |atan|------------------------||                       |/          ___\     /                    ___________________ |           |atan|------------------------||     |             |/          ___\     /                    ___________________ |           |atan|------------------------||                 |atan|------------------------|||                 |atan|------------------------||                                                                      /                    ___________________ 
                    ||  1   I*\/ 3 |    /  9245004733   3*I*\/ 44499380915263057  |           |    \      73960037864       /|     |             ||  1   I*\/ 3 |    /  9245004733   3*I*\/ 44499380915263057  |           |    \      73960037864       /|          ___    |    \      73960037864       /||          ___    |    \      73960037864       /|                       ||  1   I*\/ 3 |    /  9245004733   3*I*\/ 44499380915263057  |           |    \      73960037864       /|     |             ||  1   I*\/ 3 |    /  9245004733   3*I*\/ 44499380915263057  |           |    \      73960037864       /|          ___    |    \      73960037864       /||          ___    |    \      73960037864       /|                                                                     /  9245004733   3*I*\/ 44499380915263057  
                    ||- - - -------|*3 /   ---------- + ------------------------- |   4229*cos|------------------------------|     |             ||- - - -------|*3 /   ---------- + ------------------------- |   4229*sin|------------------------------|   4229*\/ 3 *cos|------------------------------||   4229*\/ 3 *sin|------------------------------|                       ||- - + -------|*3 /   ---------- + ------------------------- |   4229*cos|------------------------------|     |             ||- - + -------|*3 /   ---------- + ------------------------- |   4229*sin|------------------------------|   4229*\/ 3 *cos|------------------------------||   4229*\/ 3 *sin|------------------------------|                                                                  3 /   ---------- + ------------------------- 
  4229              \\  2      2   / \/      125000               40000           /           \              3               /     |             \\  2      2   / \/      125000               40000           /           \              3               /                 \              3               /|                 \              3               /     4229              \\  2      2   / \/      125000               40000           /           \              3               /     |             \\  2      2   / \/      125000               40000           /           \              3               /                 \              3               /|                 \              3               /     4229                         17884441                        \/      125000               40000           
- ---- - -------------------------------------------------------------------------- + ---------------------------------------- + I*|- -------------------------------------------------------------------------- + ---------------------------------------- + ----------------------------------------------| - ---------------------------------------------- + - ---- - -------------------------------------------------------------------------- + ---------------------------------------- + I*|- -------------------------------------------------------------------------- + ---------------------------------------- - ----------------------------------------------| + ---------------------------------------------- + - ---- - --------------------------------------------------- - ---------------------------------------------
  300                                      30000                                                        600                        \                                    30000                                                        600                                           600                      /                        600                           300                                      30000                                                        600                        \                                    30000                                                        600                                           600                      /                        600                           300               ________________________________________                         3                      
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     /                    ___________________                                                 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    /  9245004733   3*I*\/ 44499380915263057                                                  
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           30000*3 /   ---------- + -------------------------                                                 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 \/      125000               40000                                                           
$$\left(- \frac{4229}{300} - \frac{\sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}{3} - \frac{17884441}{30000 \sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}\right) + \left(\left(- \frac{4229}{300} - \frac{4229 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} - \frac{17884441 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}\right)}}{30000} + \frac{4229 \cos{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} + i \left(- \frac{17884441 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}\right)}}{30000} + \frac{4229 \sin{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} + \frac{4229 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600}\right)\right) + \left(- \frac{4229}{300} + \frac{4229 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} + \frac{4229 \cos{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} - \frac{17884441 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}\right)}}{30000} + i \left(- \frac{4229 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} + \frac{4229 \sin{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} - \frac{17884441 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}\right)}}{30000}\right)\right)\right)$$
=
                                                                          /                              1                              \              /                              1                              \                                                                                                /             /                              1                              \                                                                                            \     /             /                              1                              \                                                                                            \
                                                               17884441*re|-------------------------------------------------------------|   17884441*re|-------------------------------------------------------------|                                                           /    /     ___________________\\     |  17884441*im|-------------------------------------------------------------|           /    /     ___________________\\                 /    /     ___________________\\|     |  17884441*im|-------------------------------------------------------------|           /    /     ___________________\\                 /    /     ___________________\\|
                                                                          |                     ________________________________________|              |                     ________________________________________|        ________________________________________           |    |75*\/ 44499380915263057 ||     |             |                     ________________________________________|           |    |75*\/ 44499380915263057 ||                 |    |75*\/ 44499380915263057 |||     |             |                     ________________________________________|           |    |75*\/ 44499380915263057 ||                 |    |75*\/ 44499380915263057 |||
                                                                          |/          ___\     /                    ___________________ |              |/          ___\     /                    ___________________ |       /                    ___________________            |atan|------------------------||     |             |/          ___\     /                    ___________________ |           |atan|------------------------||                 |atan|------------------------|||     |             |/          ___\     /                    ___________________ |           |atan|------------------------||                 |atan|------------------------|||
                                                                          ||  1   I*\/ 3 |    /  9245004733   3*I*\/ 44499380915263057  |              ||  1   I*\/ 3 |    /  9245004733   3*I*\/ 44499380915263057  |      /  9245004733   3*I*\/ 44499380915263057             |    \      73960037864       /|     |             ||  1   I*\/ 3 |    /  9245004733   3*I*\/ 44499380915263057  |           |    \      73960037864       /|          ___    |    \      73960037864       /||     |             ||  1   I*\/ 3 |    /  9245004733   3*I*\/ 44499380915263057  |           |    \      73960037864       /|          ___    |    \      73960037864       /||
                                                                          ||- - + -------|*3 /   ---------- + ------------------------- |              ||- - - -------|*3 /   ---------- + ------------------------- |   3 /   ---------- + -------------------------    4229*cos|------------------------------|     |             ||- - + -------|*3 /   ---------- + ------------------------- |   4229*sin|------------------------------|   4229*\/ 3 *cos|------------------------------||     |             ||- - - -------|*3 /   ---------- + ------------------------- |   4229*sin|------------------------------|   4229*\/ 3 *cos|------------------------------||
  4229                         17884441                                   \\  2      2   / \/      125000               40000           /              \\  2      2   / \/      125000               40000           /   \/      125000               40000                      \              3               /     |             \\  2      2   / \/      125000               40000           /           \              3               /                 \              3               /|     |             \\  2      2   / \/      125000               40000           /           \              3               /                 \              3               /|
- ---- - --------------------------------------------------- - -------------------------------------------------------------------------- - -------------------------------------------------------------------------- - --------------------------------------------- + ---------------------------------------- + I*|- -------------------------------------------------------------------------- + ---------------------------------------- - ----------------------------------------------| + I*|- -------------------------------------------------------------------------- + ---------------------------------------- + ----------------------------------------------|
  100               ________________________________________                                     30000                                                                        30000                                                            3                                           300                        \                                    30000                                                        600                                           600                      /     \                                    30000                                                        600                                           600                      /
                   /                    ___________________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
                  /  9245004733   3*I*\/ 44499380915263057                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     
         30000*3 /   ---------- + -------------------------                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
               \/      125000               40000                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
$$- \frac{4229}{100} - \frac{17884441 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}\right)}}{30000} - \frac{17884441 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}\right)}}{30000} + \frac{4229 \cos{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{300} - \frac{\sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}{3} + i \left(- \frac{4229 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} + \frac{4229 \sin{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} - \frac{17884441 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}\right)}}{30000}\right) + i \left(- \frac{17884441 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}\right)}}{30000} + \frac{4229 \sin{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} + \frac{4229 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600}\right) - \frac{17884441}{30000 \sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}$$
producto
/                    /                              1                              \                                                /             /                              1                              \                                                                                            \                                                 \ /                    /                              1                              \                                                /             /                              1                              \                                                                                            \                                                 \                                                                                                               
|         17884441*re|-------------------------------------------------------------|           /    /     ___________________\\     |  17884441*im|-------------------------------------------------------------|           /    /     ___________________\\                 /    /     ___________________\\|                 /    /     ___________________\\| |         17884441*re|-------------------------------------------------------------|           /    /     ___________________\\     |  17884441*im|-------------------------------------------------------------|           /    /     ___________________\\                 /    /     ___________________\\|                 /    /     ___________________\\|                                                                                                               
|                    |                     ________________________________________|           |    |75*\/ 44499380915263057 ||     |             |                     ________________________________________|           |    |75*\/ 44499380915263057 ||                 |    |75*\/ 44499380915263057 |||                 |    |75*\/ 44499380915263057 ||| |                    |                     ________________________________________|           |    |75*\/ 44499380915263057 ||     |             |                     ________________________________________|           |    |75*\/ 44499380915263057 ||                 |    |75*\/ 44499380915263057 |||                 |    |75*\/ 44499380915263057 ||| /                                                                    ________________________________________\
|                    |/          ___\     /                    ___________________ |           |atan|------------------------||     |             |/          ___\     /                    ___________________ |           |atan|------------------------||                 |atan|------------------------|||                 |atan|------------------------||| |                    |/          ___\     /                    ___________________ |           |atan|------------------------||     |             |/          ___\     /                    ___________________ |           |atan|------------------------||                 |atan|------------------------|||                 |atan|------------------------||| |                                                                   /                    ___________________ |
|                    ||  1   I*\/ 3 |    /  9245004733   3*I*\/ 44499380915263057  |           |    \      73960037864       /|     |             ||  1   I*\/ 3 |    /  9245004733   3*I*\/ 44499380915263057  |           |    \      73960037864       /|          ___    |    \      73960037864       /||          ___    |    \      73960037864       /|| |                    ||  1   I*\/ 3 |    /  9245004733   3*I*\/ 44499380915263057  |           |    \      73960037864       /|     |             ||  1   I*\/ 3 |    /  9245004733   3*I*\/ 44499380915263057  |           |    \      73960037864       /|          ___    |    \      73960037864       /||          ___    |    \      73960037864       /|| |                                                                  /  9245004733   3*I*\/ 44499380915263057  |
|                    ||- - - -------|*3 /   ---------- + ------------------------- |   4229*cos|------------------------------|     |             ||- - - -------|*3 /   ---------- + ------------------------- |   4229*sin|------------------------------|   4229*\/ 3 *cos|------------------------------||   4229*\/ 3 *sin|------------------------------|| |                    ||- - + -------|*3 /   ---------- + ------------------------- |   4229*cos|------------------------------|     |             ||- - + -------|*3 /   ---------- + ------------------------- |   4229*sin|------------------------------|   4229*\/ 3 *cos|------------------------------||   4229*\/ 3 *sin|------------------------------|| |                                                               3 /   ---------- + ------------------------- |
|  4229              \\  2      2   / \/      125000               40000           /           \              3               /     |             \\  2      2   / \/      125000               40000           /           \              3               /                 \              3               /|                 \              3               /| |  4229              \\  2      2   / \/      125000               40000           /           \              3               /     |             \\  2      2   / \/      125000               40000           /           \              3               /                 \              3               /|                 \              3               /| |  4229                         17884441                        \/      125000               40000           |
|- ---- - -------------------------------------------------------------------------- + ---------------------------------------- + I*|- -------------------------------------------------------------------------- + ---------------------------------------- + ----------------------------------------------| - ----------------------------------------------|*|- ---- - -------------------------------------------------------------------------- + ---------------------------------------- + I*|- -------------------------------------------------------------------------- + ---------------------------------------- - ----------------------------------------------| + ----------------------------------------------|*|- ---- - --------------------------------------------------- - ---------------------------------------------|
\  300                                      30000                                                        600                        \                                    30000                                                        600                                           600                      /                        600                      / \  300                                      30000                                                        600                        \                                    30000                                                        600                                           600                      /                        600                      / |  300               ________________________________________                         3                      |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  |                   /                    ___________________                                                 |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  |                  /  9245004733   3*I*\/ 44499380915263057                                                  |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  |         30000*3 /   ---------- + -------------------------                                                 |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  \               \/      125000               40000                                                           /
$$\left(- \frac{4229}{300} - \frac{4229 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} - \frac{17884441 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}\right)}}{30000} + \frac{4229 \cos{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} + i \left(- \frac{17884441 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}\right)}}{30000} + \frac{4229 \sin{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} + \frac{4229 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600}\right)\right) \left(- \frac{4229}{300} + \frac{4229 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} + \frac{4229 \cos{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} - \frac{17884441 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}\right)}}{30000} + i \left(- \frac{4229 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} + \frac{4229 \sin{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}}{600} - \frac{17884441 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}\right)}}{30000}\right)\right) \left(- \frac{4229}{300} - \frac{\sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}{3} - \frac{17884441}{30000 \sqrt[3]{\frac{9245004733}{125000} + \frac{3 \sqrt{44499380915263057} i}{40000}}}\right)$$
=
                                                                                                                           /     /      /     ___________________\\      /    /     ___________________\\\
                                                                                                                           |     |      |75*\/ 44499380915263057 ||      |    |75*\/ 44499380915263057 |||
         /              __________________________________________ /          __________________________________________\\ |     |2*atan|------------------------||      |atan|------------------------|||
         |           3 /                      ___________________  |       3 /                      ___________________ || |     |      \      73960037864       /|      |    \      73960037864       /||
17884441*\17884441 + \/  73960037864 + 75*I*\/ 44499380915263057  *\4229 + \/  73960037864 + 75*I*\/ 44499380915263057  //*|- cos|--------------------------------| + cos|------------------------------||
                                                                                                                           \     \               3                /      \              3               //
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                                                                                      __________________________________________                                                                          
                                                                                   3 /                      ___________________                                                                           
                                                                          13500000*\/  73960037864 + 75*I*\/ 44499380915263057                                                                            
$$\frac{17884441 \left(17884441 + \left(4229 + \sqrt[3]{73960037864 + 75 \sqrt{44499380915263057} i}\right) \sqrt[3]{73960037864 + 75 \sqrt{44499380915263057} i}\right) \left(- \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)} + \cos{\left(\frac{\operatorname{atan}{\left(\frac{75 \sqrt{44499380915263057}}{73960037864} \right)}}{3} \right)}\right)}{13500000 \sqrt[3]{73960037864 + 75 \sqrt{44499380915263057} i}}$$
17884441*(17884441 + (73960037864 + 75*i*sqrt(44499380915263057))^(1/3)*(4229 + (73960037864 + 75*i*sqrt(44499380915263057))^(1/3)))*(-cos(2*atan(75*sqrt(44499380915263057)/73960037864)/3) + cos(atan(75*sqrt(44499380915263057)/73960037864)/3))/(13500000*(73960037864 + 75*i*sqrt(44499380915263057))^(1/3))
Respuesta numérica [src]
x1 = -42.2204680539301
x2 = 1.67896678928652
x3 = -1.74849873535644
x3 = -1.74849873535644