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La ecuación:
Ecuación x^4=(x-56)^2
Ecuación 6x-2x+1=5
Ecuación 3*sin(x)=0
Ecuación 3/(x-5)+8/x=2
Expresar {x} en función de y en la ecuación:
-17*x+2*y=-4
-18*x-14*y=12
11*x-2*y=-9
-2*x-15*y=-1
Expresiones idénticas
x-(dos mil novecientos setenta y cuatro , sesenta y nueve /(veinticuatro *x^ dos))=- cincuenta y cinco , doscientos siete
x menos (2974,69 dividir por (24 multiplicar por x al cuadrado )) es igual a menos 55,207
x menos (dos mil novecientos setenta y cuatro , sesenta y nueve dividir por (veinticuatro multiplicar por x en el grado dos)) es igual a menos cincuenta y cinco , doscientos siete
x-(2974,69/(24*x2))=-55,207
x-2974,69/24*x2=-55,207
x-(2974,69/(24*x²))=-55,207
x-(2974,69/(24*x en el grado 2))=-55,207
x-(2974,69/(24x^2))=-55,207
x-(2974,69/(24x2))=-55,207
x-2974,69/24x2=-55,207
x-2974,69/24x^2=-55,207
x-(2974,69 dividir por (24*x^2))=-55,207
Expresiones semejantes
x-(2974,69/(24*x^2))=+55,207
x+(2974,69/(24*x^2))=-55,207

x-(2974,69/(24*x^2))=-55,207 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

      297469    -55207 
x - --------- = -------
            2     1000 
    100*24*x

x - \frac{297469}{100 \cdot 24 x^{2}} = - \frac{55207}{1000}

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

                            /                                  1                                  \                                                      /               /                                  1                                  \                                                                                                        \                                                       
               3047812849*re|---------------------------------------------------------------------|            /    /        _____________________\\     |  3047812849*im|---------------------------------------------------------------------|            /    /        _____________________\\                  /    /        _____________________\\|                  /    /        _____________________\\
                            |                     ________________________________________________|            |    |10500*\/ 5081983841178380915 ||     |               |                     ________________________________________________|            |    |10500*\/ 5081983841178380915 ||                  |    |10500*\/ 5081983841178380915 |||                  |    |10500*\/ 5081983841178380915 ||
                            |/          ___\     /                          _____________________ |            |atan|-----------------------------||     |               |/          ___\     /                          _____________________ |            |atan|-----------------------------||                  |atan|-----------------------------|||                  |atan|-----------------------------||
                            ||  1   I*\/ 3 |    /  166587340829743   21*I*\/ 5081983841178380915  |            |    \       166587340829743       /|     |               ||  1   I*\/ 3 |    /  166587340829743   21*I*\/ 5081983841178380915  |            |    \       166587340829743       /|           ___    |    \       166587340829743       /||           ___    |    \       166587340829743       /|
                            ||- - - -------|*3 /   --------------- + ---------------------------- |   55207*cos|-----------------------------------|     |               ||- - - -------|*3 /   --------------- + ---------------------------- |   55207*sin|-----------------------------------|   55207*\/ 3 *cos|-----------------------------------||   55207*\/ 3 *sin|-----------------------------------|
       55207                \\  2      2   / \/       1000000000               2000000            /            \                 3                 /     |               \\  2      2   / \/       1000000000               2000000            /            \                 3                 /                  \                 3                 /|                  \                 3                 /
x1 = - ----- - ------------------------------------------------------------------------------------ + ---------------------------------------------- + I*|- ------------------------------------------------------------------------------------ + ---------------------------------------------- + ----------------------------------------------------| - ----------------------------------------------------
        3000                                         3000000                                                               6000                          \                                        3000000                                                               6000                                                6000                        /                           6000

x_{1} = - \frac{55207}{3000} - \frac{55207 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} - \frac{3047812849 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + \frac{55207 \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + i \left(- \frac{3047812849 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + \frac{55207 \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000}\right)

                            /                                  1                                  \                                                      /               /                                  1                                  \                                                                                                        \                                                       
               3047812849*re|---------------------------------------------------------------------|            /    /        _____________________\\     |  3047812849*im|---------------------------------------------------------------------|            /    /        _____________________\\                  /    /        _____________________\\|                  /    /        _____________________\\
                            |                     ________________________________________________|            |    |10500*\/ 5081983841178380915 ||     |               |                     ________________________________________________|            |    |10500*\/ 5081983841178380915 ||                  |    |10500*\/ 5081983841178380915 |||                  |    |10500*\/ 5081983841178380915 ||
                            |/          ___\     /                          _____________________ |            |atan|-----------------------------||     |               |/          ___\     /                          _____________________ |            |atan|-----------------------------||                  |atan|-----------------------------|||                  |atan|-----------------------------||
                            ||  1   I*\/ 3 |    /  166587340829743   21*I*\/ 5081983841178380915  |            |    \       166587340829743       /|     |               ||  1   I*\/ 3 |    /  166587340829743   21*I*\/ 5081983841178380915  |            |    \       166587340829743       /|           ___    |    \       166587340829743       /||           ___    |    \       166587340829743       /|
                            ||- - + -------|*3 /   --------------- + ---------------------------- |   55207*cos|-----------------------------------|     |               ||- - + -------|*3 /   --------------- + ---------------------------- |   55207*sin|-----------------------------------|   55207*\/ 3 *cos|-----------------------------------||   55207*\/ 3 *sin|-----------------------------------|
       55207                \\  2      2   / \/       1000000000               2000000            /            \                 3                 /     |               \\  2      2   / \/       1000000000               2000000            /            \                 3                 /                  \                 3                 /|                  \                 3                 /
x2 = - ----- - ------------------------------------------------------------------------------------ + ---------------------------------------------- + I*|- ------------------------------------------------------------------------------------ + ---------------------------------------------- - ----------------------------------------------------| + ----------------------------------------------------
        3000                                         3000000                                                               6000                          \                                        3000000                                                               6000                                                6000                        /                           6000

x_{2} = - \frac{55207}{3000} + \frac{55207 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} - \frac{3047812849 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + i \left(- \frac{55207 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} - \frac{3047812849 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000}\right)

                                                                                    ________________________________________________
                                                                                   /                          _____________________ 
                                                                                  /  166587340829743   21*I*\/ 5081983841178380915  
                                                                               3 /   --------------- + ---------------------------- 
       55207                             3047812849                            \/       1000000000               2000000            
x3 = - ----- - ------------------------------------------------------------- - -----------------------------------------------------
        3000                ________________________________________________                             3                          
                           /                          _____________________                                                         
                          /  166587340829743   21*I*\/ 5081983841178380915                                                          
               3000000*3 /   --------------- + ----------------------------                                                         
                       \/       1000000000               2000000

x_{3} = - \frac{55207}{3000} - \frac{\sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}{3} - \frac{3047812849}{3000000 \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}

x3 = -55207/3000 - (166587340829743/1000000000 + 21*sqrt(5081983841178380915)*i/2000000)^(1/3)/3 - 3047812849/(3000000*(166587340829743/1000000000 + 21*sqrt(5081983841178380915)*i/2000000)^(1/3))

Suma y producto de raíces [src]

suma

                       /                                  1                                  \                                                      /               /                                  1                                  \                                                                                                        \                                                                                 /                                  1                                  \                                                      /               /                                  1                                  \                                                                                                        \                                                                                                                                                                                         
          3047812849*re|---------------------------------------------------------------------|            /    /        _____________________\\     |  3047812849*im|---------------------------------------------------------------------|            /    /        _____________________\\                  /    /        _____________________\\|                  /    /        _____________________\\             3047812849*re|---------------------------------------------------------------------|            /    /        _____________________\\     |  3047812849*im|---------------------------------------------------------------------|            /    /        _____________________\\                  /    /        _____________________\\|                  /    /        _____________________\\                                                                                                                                  
                       |                     ________________________________________________|            |    |10500*\/ 5081983841178380915 ||     |               |                     ________________________________________________|            |    |10500*\/ 5081983841178380915 ||                  |    |10500*\/ 5081983841178380915 |||                  |    |10500*\/ 5081983841178380915 ||                          |                     ________________________________________________|            |    |10500*\/ 5081983841178380915 ||     |               |                     ________________________________________________|            |    |10500*\/ 5081983841178380915 ||                  |    |10500*\/ 5081983841178380915 |||                  |    |10500*\/ 5081983841178380915 ||                                                                                  ________________________________________________
                       |/          ___\     /                          _____________________ |            |atan|-----------------------------||     |               |/          ___\     /                          _____________________ |            |atan|-----------------------------||                  |atan|-----------------------------|||                  |atan|-----------------------------||                          |/          ___\     /                          _____________________ |            |atan|-----------------------------||     |               |/          ___\     /                          _____________________ |            |atan|-----------------------------||                  |atan|-----------------------------|||                  |atan|-----------------------------||                                                                                 /                          _____________________ 
                       ||  1   I*\/ 3 |    /  166587340829743   21*I*\/ 5081983841178380915  |            |    \       166587340829743       /|     |               ||  1   I*\/ 3 |    /  166587340829743   21*I*\/ 5081983841178380915  |            |    \       166587340829743       /|           ___    |    \       166587340829743       /||           ___    |    \       166587340829743       /|                          ||  1   I*\/ 3 |    /  166587340829743   21*I*\/ 5081983841178380915  |            |    \       166587340829743       /|     |               ||  1   I*\/ 3 |    /  166587340829743   21*I*\/ 5081983841178380915  |            |    \       166587340829743       /|           ___    |    \       166587340829743       /||           ___    |    \       166587340829743       /|                                                                                /  166587340829743   21*I*\/ 5081983841178380915  
                       ||- - - -------|*3 /   --------------- + ---------------------------- |   55207*cos|-----------------------------------|     |               ||- - - -------|*3 /   --------------- + ---------------------------- |   55207*sin|-----------------------------------|   55207*\/ 3 *cos|-----------------------------------||   55207*\/ 3 *sin|-----------------------------------|                          ||- - + -------|*3 /   --------------- + ---------------------------- |   55207*cos|-----------------------------------|     |               ||- - + -------|*3 /   --------------- + ---------------------------- |   55207*sin|-----------------------------------|   55207*\/ 3 *cos|-----------------------------------||   55207*\/ 3 *sin|-----------------------------------|                                                                             3 /   --------------- + ---------------------------- 
  55207                \\  2      2   / \/       1000000000               2000000            /            \                 3                 /     |               \\  2      2   / \/       1000000000               2000000            /            \                 3                 /                  \                 3                 /|                  \                 3                 /     55207                \\  2      2   / \/       1000000000               2000000            /            \                 3                 /     |               \\  2      2   / \/       1000000000               2000000            /            \                 3                 /                  \                 3                 /|                  \                 3                 /     55207                             3047812849                            \/       1000000000               2000000            
- ----- - ------------------------------------------------------------------------------------ + ---------------------------------------------- + I*|- ------------------------------------------------------------------------------------ + ---------------------------------------------- + ----------------------------------------------------| - ---------------------------------------------------- + - ----- - ------------------------------------------------------------------------------------ + ---------------------------------------------- + I*|- ------------------------------------------------------------------------------------ + ---------------------------------------------- - ----------------------------------------------------| + ---------------------------------------------------- + - ----- - ------------------------------------------------------------- - -----------------------------------------------------
   3000                                         3000000                                                               6000                          \                                        3000000                                                               6000                                                6000                        /                           6000                              3000                                         3000000                                                               6000                          \                                        3000000                                                               6000                                                6000                        /                           6000                              3000                ________________________________________________                             3                          
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  /                          _____________________                                                         
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 /  166587340829743   21*I*\/ 5081983841178380915                                                          
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      3000000*3 /   --------------- + ----------------------------                                                         
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \/       1000000000               2000000

\left(\left(- \frac{55207}{3000} - \frac{55207 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} - \frac{3047812849 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + \frac{55207 \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + i \left(- \frac{3047812849 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + \frac{55207 \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000}\right)\right) + \left(- \frac{55207}{3000} + \frac{55207 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} - \frac{3047812849 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + i \left(- \frac{55207 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} - \frac{3047812849 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000}\right)\right)\right) + \left(- \frac{55207}{3000} - \frac{\sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}{3} - \frac{3047812849}{3000000 \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)

                                                                                       /                                  1                                  \                /                                  1                                  \                                                                                                              /               /                                  1                                  \                                                                                                        \     /               /                                  1                                  \                                                                                                        \
                                                                          3047812849*re|---------------------------------------------------------------------|   3047812849*re|---------------------------------------------------------------------|                                                                    /    /        _____________________\\     |  3047812849*im|---------------------------------------------------------------------|            /    /        _____________________\\                  /    /        _____________________\\|     |  3047812849*im|---------------------------------------------------------------------|            /    /        _____________________\\                  /    /        _____________________\\|
                                                                                       |                     ________________________________________________|                |                     ________________________________________________|        ________________________________________________            |    |10500*\/ 5081983841178380915 ||     |               |                     ________________________________________________|            |    |10500*\/ 5081983841178380915 ||                  |    |10500*\/ 5081983841178380915 |||     |               |                     ________________________________________________|            |    |10500*\/ 5081983841178380915 ||                  |    |10500*\/ 5081983841178380915 |||
                                                                                       |/          ___\     /                          _____________________ |                |/          ___\     /                          _____________________ |       /                          _____________________             |atan|-----------------------------||     |               |/          ___\     /                          _____________________ |            |atan|-----------------------------||                  |atan|-----------------------------|||     |               |/          ___\     /                          _____________________ |            |atan|-----------------------------||                  |atan|-----------------------------|||
                                                                                       ||  1   I*\/ 3 |    /  166587340829743   21*I*\/ 5081983841178380915  |                ||  1   I*\/ 3 |    /  166587340829743   21*I*\/ 5081983841178380915  |      /  166587340829743   21*I*\/ 5081983841178380915              |    \       166587340829743       /|     |               ||  1   I*\/ 3 |    /  166587340829743   21*I*\/ 5081983841178380915  |            |    \       166587340829743       /|           ___    |    \       166587340829743       /||     |               ||  1   I*\/ 3 |    /  166587340829743   21*I*\/ 5081983841178380915  |            |    \       166587340829743       /|           ___    |    \       166587340829743       /||
                                                                                       ||- - + -------|*3 /   --------------- + ---------------------------- |                ||- - - -------|*3 /   --------------- + ---------------------------- |   3 /   --------------- + ----------------------------    55207*cos|-----------------------------------|     |               ||- - + -------|*3 /   --------------- + ---------------------------- |   55207*sin|-----------------------------------|   55207*\/ 3 *cos|-----------------------------------||     |               ||- - - -------|*3 /   --------------- + ---------------------------- |   55207*sin|-----------------------------------|   55207*\/ 3 *cos|-----------------------------------||
  55207                             3047812849                                         \\  2      2   / \/       1000000000               2000000            /                \\  2      2   / \/       1000000000               2000000            /   \/       1000000000               2000000                        \                 3                 /     |               \\  2      2   / \/       1000000000               2000000            /            \                 3                 /                  \                 3                 /|     |               \\  2      2   / \/       1000000000               2000000            /            \                 3                 /                  \                 3                 /|
- ----- - ------------------------------------------------------------- - ------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------ - ----------------------------------------------------- + ---------------------------------------------- + I*|- ------------------------------------------------------------------------------------ + ---------------------------------------------- - ----------------------------------------------------| + I*|- ------------------------------------------------------------------------------------ + ---------------------------------------------- + ----------------------------------------------------|
   1000                ________________________________________________                                         3000000                                                                                3000000                                                                    3                                                  3000                          \                                        3000000                                                               6000                                                6000                        /     \                                        3000000                                                               6000                                                6000                        /
                      /                          _____________________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  
                     /  166587340829743   21*I*\/ 5081983841178380915                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   
          3000000*3 /   --------------- + ----------------------------                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  
                  \/       1000000000               2000000

- \frac{55207}{1000} - \frac{3047812849 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} - \frac{3047812849 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + \frac{55207 \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{3000} - \frac{\sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}{3} + i \left(- \frac{55207 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} - \frac{3047812849 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000}\right) + i \left(- \frac{3047812849 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + \frac{55207 \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000}\right) - \frac{3047812849}{3000000 \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}

producto

/                       /                                  1                                  \                                                      /               /                                  1                                  \                                                                                                        \                                                       \ /                       /                                  1                                  \                                                      /               /                                  1                                  \                                                                                                        \                                                       \                                                                                                                                  
|          3047812849*re|---------------------------------------------------------------------|            /    /        _____________________\\     |  3047812849*im|---------------------------------------------------------------------|            /    /        _____________________\\                  /    /        _____________________\\|                  /    /        _____________________\\| |          3047812849*re|---------------------------------------------------------------------|            /    /        _____________________\\     |  3047812849*im|---------------------------------------------------------------------|            /    /        _____________________\\                  /    /        _____________________\\|                  /    /        _____________________\\|                                                                                                                                  
|                       |                     ________________________________________________|            |    |10500*\/ 5081983841178380915 ||     |               |                     ________________________________________________|            |    |10500*\/ 5081983841178380915 ||                  |    |10500*\/ 5081983841178380915 |||                  |    |10500*\/ 5081983841178380915 ||| |                       |                     ________________________________________________|            |    |10500*\/ 5081983841178380915 ||     |               |                     ________________________________________________|            |    |10500*\/ 5081983841178380915 ||                  |    |10500*\/ 5081983841178380915 |||                  |    |10500*\/ 5081983841178380915 ||| /                                                                               ________________________________________________\
|                       |/          ___\     /                          _____________________ |            |atan|-----------------------------||     |               |/          ___\     /                          _____________________ |            |atan|-----------------------------||                  |atan|-----------------------------|||                  |atan|-----------------------------||| |                       |/          ___\     /                          _____________________ |            |atan|-----------------------------||     |               |/          ___\     /                          _____________________ |            |atan|-----------------------------||                  |atan|-----------------------------|||                  |atan|-----------------------------||| |                                                                              /                          _____________________ |
|                       ||  1   I*\/ 3 |    /  166587340829743   21*I*\/ 5081983841178380915  |            |    \       166587340829743       /|     |               ||  1   I*\/ 3 |    /  166587340829743   21*I*\/ 5081983841178380915  |            |    \       166587340829743       /|           ___    |    \       166587340829743       /||           ___    |    \       166587340829743       /|| |                       ||  1   I*\/ 3 |    /  166587340829743   21*I*\/ 5081983841178380915  |            |    \       166587340829743       /|     |               ||  1   I*\/ 3 |    /  166587340829743   21*I*\/ 5081983841178380915  |            |    \       166587340829743       /|           ___    |    \       166587340829743       /||           ___    |    \       166587340829743       /|| |                                                                             /  166587340829743   21*I*\/ 5081983841178380915  |
|                       ||- - - -------|*3 /   --------------- + ---------------------------- |   55207*cos|-----------------------------------|     |               ||- - - -------|*3 /   --------------- + ---------------------------- |   55207*sin|-----------------------------------|   55207*\/ 3 *cos|-----------------------------------||   55207*\/ 3 *sin|-----------------------------------|| |                       ||- - + -------|*3 /   --------------- + ---------------------------- |   55207*cos|-----------------------------------|     |               ||- - + -------|*3 /   --------------- + ---------------------------- |   55207*sin|-----------------------------------|   55207*\/ 3 *cos|-----------------------------------||   55207*\/ 3 *sin|-----------------------------------|| |                                                                          3 /   --------------- + ---------------------------- |
|  55207                \\  2      2   / \/       1000000000               2000000            /            \                 3                 /     |               \\  2      2   / \/       1000000000               2000000            /            \                 3                 /                  \                 3                 /|                  \                 3                 /| |  55207                \\  2      2   / \/       1000000000               2000000            /            \                 3                 /     |               \\  2      2   / \/       1000000000               2000000            /            \                 3                 /                  \                 3                 /|                  \                 3                 /| |  55207                             3047812849                            \/       1000000000               2000000            |
|- ----- - ------------------------------------------------------------------------------------ + ---------------------------------------------- + I*|- ------------------------------------------------------------------------------------ + ---------------------------------------------- + ----------------------------------------------------| - ----------------------------------------------------|*|- ----- - ------------------------------------------------------------------------------------ + ---------------------------------------------- + I*|- ------------------------------------------------------------------------------------ + ---------------------------------------------- - ----------------------------------------------------| + ----------------------------------------------------|*|- ----- - ------------------------------------------------------------- - -----------------------------------------------------|
\   3000                                         3000000                                                               6000                          \                                        3000000                                                               6000                                                6000                        /                           6000                        / \   3000                                         3000000                                                               6000                          \                                        3000000                                                               6000                                                6000                        /                           6000                        / |   3000                ________________________________________________                             3                          |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            |                      /                          _____________________                                                         |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            |                     /  166587340829743   21*I*\/ 5081983841178380915                                                          |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            |          3000000*3 /   --------------- + ----------------------------                                                         |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            \                  \/       1000000000               2000000                                                                    /

\left(- \frac{55207}{3000} - \frac{55207 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} - \frac{3047812849 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + \frac{55207 \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + i \left(- \frac{3047812849 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + \frac{55207 \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000}\right)\right) \left(- \frac{55207}{3000} + \frac{55207 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} - \frac{3047812849 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000} + i \left(- \frac{55207 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} + \frac{55207 \sin{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}}{6000} - \frac{3047812849 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)}}{3000000}\right)\right) \left(- \frac{55207}{3000} - \frac{\sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}{3} - \frac{3047812849}{3000000 \sqrt[3]{\frac{166587340829743}{1000000000} + \frac{21 \sqrt{5081983841178380915} i}{2000000}}}\right)

                                                                                                                                                  /     /      /        _____________________\\      /    /        _____________________\\\
                                                                                                                                                  |     |      |10500*\/ 5081983841178380915 ||      |    |10500*\/ 5081983841178380915 |||
           /                ___________________________________________________ /           ___________________________________________________\\ |     |2*atan|-----------------------------||      |atan|-----------------------------|||
           |             3 /                             _____________________  |        3 /                             _____________________ || |     |      \       166587340829743       /|      |    \       166587340829743       /||
3047812849*\3047812849 + \/  166587340829743 + 10500*I*\/ 5081983841178380915  *\55207 + \/  166587340829743 + 10500*I*\/ 5081983841178380915  //*|- cos|-------------------------------------| + cos|-----------------------------------||
                                                                                                                                                  \     \                  3                  /      \                 3                 //
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                    ___________________________________________________                                                                                    
                                                                                                 3 /                             _____________________                                                                                     
                                                                                     13500000000*\/  166587340829743 + 10500*I*\/ 5081983841178380915

\frac{3047812849 \left(3047812849 + \left(55207 + \sqrt[3]{166587340829743 + 10500 \sqrt{5081983841178380915} i}\right) \sqrt[3]{166587340829743 + 10500 \sqrt{5081983841178380915} i}\right) \left(- \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)} + \cos{\left(\frac{\operatorname{atan}{\left(\frac{10500 \sqrt{5081983841178380915}}{166587340829743} \right)}}{3} \right)}\right)}{13500000000 \sqrt[3]{166587340829743 + 10500 \sqrt{5081983841178380915} i}}

3047812849*(3047812849 + (166587340829743 + 10500*i*sqrt(5081983841178380915))^(1/3)*(55207 + (166587340829743 + 10500*i*sqrt(5081983841178380915))^(1/3)))*(-cos(2*atan(10500*sqrt(5081983841178380915)/166587340829743)/3) + cos(atan(10500*sqrt(5081983841178380915)/166587340829743)/3))/(13500000000*(166587340829743 + 10500*i*sqrt(5081983841178380915))^(1/3))

Respuesta numérica [src]

x1 = -1.5194217142267

x2 = -55.1662729283778

x3 = 1.4786946426045

x3 = 1.4786946426045

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