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La ecuación:
Ecuación 5*x=32+x
Ecuación 4*x-8=x+1
Ecuación 3*x^2+13*x-10=0
Ecuación 8-x^2=0
Expresar {x} en función de y en la ecuación:
-6*x+11*y=-5
-15*x+7*y=1
-11*x-11*y=4
11*x-9*y=-4
Expresiones idénticas
log uno 0x/ dos *log uno 0x+1+ dos *log10x+1/log10x= dos
logaritmo de 10x dividir por 2 multiplicar por logaritmo de 10x más 1 más 2 multiplicar por logaritmo de 10x más 1 dividir por logaritmo de 10x es igual a 2
logaritmo de uno 0x dividir por dos multiplicar por logaritmo de uno 0x más 1 más dos multiplicar por logaritmo de 10x más 1 dividir por logaritmo de 10x es igual a dos
log10x/2log10x+1+2log10x+1/log10x=2
log10x dividir por 2*log10x+1+2*log10x+1 dividir por log10x=2
Expresiones semejantes
log10x/2*log10x-1+2*log10x+1/log10x=2
log10x/2*log10x+1+2*log10x-1/log10x=2
log10x/2*log10x+1-2*log10x+1/log10x=2

log10x/2log10x+1+2log10x+1/log10x=2 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

log(10*x)                                   1        
---------*log(10*x) + 1 + 2*log(10*x) + --------- = 2
    2                                   log(10*x)

$$\left(\left(\frac{\log{\left(10 x \right)}}{2} \log{\left(10 x \right)} + 1\right) + 2 \log{\left(10 x \right)}\right) + \frac{1}{\log{\left(10 x \right)}} = 2$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

                                                                          _________________                                        _________________                                                                                    
                                                                       3 /           _____                                      3 /           _____                                                                                     
                                                                   4   \/  127 + 3*\/ 609               11                  4   \/  127 + 3*\/ 609               11                                                                     
                                                                 - - + -------------------- + ----------------------      - - + -------------------- + ----------------------                                                           
        /           _________________                         \    3            6                  _________________        3            6                  _________________    /           _________________                         \
        |    ___ 3 /           _____                ___       |                                 3 /           _____                                      3 /           _____     |    ___ 3 /           _____                ___       |
        |  \/ 3 *\/  127 + 3*\/ 609            11*\/ 3        |                               3*\/  127 + 3*\/ 609                                     3*\/  127 + 3*\/ 609      |  \/ 3 *\/  127 + 3*\/ 609            11*\/ 3        |
     cos|- -------------------------- + ----------------------|*e                                                      I*e                                                   *sin|- -------------------------- + ----------------------|
        |              6                     _________________|                                                                                                                  |              6                     _________________|
        |                                 3 /           _____ |                                                                                                                  |                                 3 /           _____ |
        \                               3*\/  127 + 3*\/ 609  /                                                                                                                  \                               3*\/  127 + 3*\/ 609  /
x1 = --------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------
                                                            10                                                                                                                 10

$$x_{1} = \frac{e^{- \frac{4}{3} + \frac{11}{3 \sqrt[3]{3 \sqrt{609} + 127}} + \frac{\sqrt[3]{3 \sqrt{609} + 127}}{6}} \cos{\left(- \frac{\sqrt{3} \sqrt[3]{3 \sqrt{609} + 127}}{6} + \frac{11 \sqrt{3}}{3 \sqrt[3]{3 \sqrt{609} + 127}} \right)}}{10} + \frac{i e^{- \frac{4}{3} + \frac{11}{3 \sqrt[3]{3 \sqrt{609} + 127}} + \frac{\sqrt[3]{3 \sqrt{609} + 127}}{6}} \sin{\left(- \frac{\sqrt{3} \sqrt[3]{3 \sqrt{609} + 127}}{6} + \frac{11 \sqrt{3}}{3 \sqrt[3]{3 \sqrt{609} + 127}} \right)}}{10}$$

                                                                          _________________                                        _________________                                                                                    
                                                                       3 /           _____                                      3 /           _____                                                                                     
                                                                   4   \/  127 + 3*\/ 609               11                  4   \/  127 + 3*\/ 609               11                                                                     
                                                                 - - + -------------------- + ----------------------      - - + -------------------- + ----------------------                                                           
        /           _________________                         \    3            6                  _________________        3            6                  _________________    /           _________________                         \
        |    ___ 3 /           _____                ___       |                                 3 /           _____                                      3 /           _____     |    ___ 3 /           _____                ___       |
        |  \/ 3 *\/  127 + 3*\/ 609            11*\/ 3        |                               3*\/  127 + 3*\/ 609                                     3*\/  127 + 3*\/ 609      |  \/ 3 *\/  127 + 3*\/ 609            11*\/ 3        |
     cos|- -------------------------- + ----------------------|*e                                                      I*e                                                   *sin|- -------------------------- + ----------------------|
        |              6                     _________________|                                                                                                                  |              6                     _________________|
        |                                 3 /           _____ |                                                                                                                  |                                 3 /           _____ |
        \                               3*\/  127 + 3*\/ 609  /                                                                                                                  \                               3*\/  127 + 3*\/ 609  /
x2 = --------------------------------------------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------
                                                            10                                                                                                                 10

$$x_{2} = \frac{e^{- \frac{4}{3} + \frac{11}{3 \sqrt[3]{3 \sqrt{609} + 127}} + \frac{\sqrt[3]{3 \sqrt{609} + 127}}{6}} \cos{\left(- \frac{\sqrt{3} \sqrt[3]{3 \sqrt{609} + 127}}{6} + \frac{11 \sqrt{3}}{3 \sqrt[3]{3 \sqrt{609} + 127}} \right)}}{10} - \frac{i e^{- \frac{4}{3} + \frac{11}{3 \sqrt[3]{3 \sqrt{609} + 127}} + \frac{\sqrt[3]{3 \sqrt{609} + 127}}{6}} \sin{\left(- \frac{\sqrt{3} \sqrt[3]{3 \sqrt{609} + 127}}{6} + \frac{11 \sqrt{3}}{3 \sqrt[3]{3 \sqrt{609} + 127}} \right)}}{10}$$

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               /                        3   \/   \54 - 54*log(10) + 2*(4 + 3*log(10))  + 27*log (10) + 108*log (10) - (36 + 27*log(10))*\-2 + 3*log (10) + 8*log(10)//  - 4*\6 + (4 + 3*log(10))  - 24*log(10) - 9*log (10)/                        2       27*log (10)   (36 + 27*log(10))*\-2 + 3*log (10) + 8*log(10)/                                                                                                                                                                                                                                                                                                                    
            3 /     27 + (4 + 3*log(10))  + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - 27*log(10) + 54*log (10) + ----------- - -----------------------------------------------                                                                                                                                                        2                     2                                                                                                                                     
        4   \/                                                                                                                      2                                                                                                                            2                               2                                                                                                                                                            6 + (4 + 3*log(10))  - 24*log(10) - 9*log (10)                                                                                                                                 
      - - - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
        3                                                                                                                                                         3                                                                                                                                                                   _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
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                                                                                                                                                                                                                                                                                                                                  /                        3   \/   \54 - 54*log(10) + 2*(4 + 3*log(10))  + 27*log (10) + 108*log (10) - (36 + 27*log(10))*\-2 + 3*log (10) + 8*log(10)//  - 4*\6 + (4 + 3*log(10))  - 24*log(10) - 9*log (10)/                        2       27*log (10)   (36 + 27*log(10))*\-2 + 3*log (10) + 8*log(10)/ 
                                                                                                                                                                                                                                                                                                                             3*3 /     27 + (4 + 3*log(10))  + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - 27*log(10) + 54*log (10) + ----------- - ----------------------------------------------- 
                                                                                                                                                                                                                                                                                                                               \/                                                                                                                      2                                                                                                                            2                               2                        
     e                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       
x3 = ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                                                                                                                                                        10

$$x_{3} = \frac{e^{- \frac{\sqrt[3]{- \frac{\left(36 + 27 \log{\left(10 \right)}\right) \left(-2 + 3 \log{\left(10 \right)}^{2} + 8 \log{\left(10 \right)}\right)}{2} - 27 \log{\left(10 \right)} + 27 + \frac{\sqrt{- 4 \left(- 24 \log{\left(10 \right)} - 9 \log{\left(10 \right)}^{2} + 6 + \left(4 + 3 \log{\left(10 \right)}\right)^{2}\right)^{3} + \left(- \left(36 + 27 \log{\left(10 \right)}\right) \left(-2 + 3 \log{\left(10 \right)}^{2} + 8 \log{\left(10 \right)}\right) - 54 \log{\left(10 \right)} + 54 + 27 \log{\left(10 \right)}^{3} + 108 \log{\left(10 \right)}^{2} + 2 \left(4 + 3 \log{\left(10 \right)}\right)^{3}\right)^{2}}}{2} + \frac{27 \log{\left(10 \right)}^{3}}{2} + 54 \log{\left(10 \right)}^{2} + \left(4 + 3 \log{\left(10 \right)}\right)^{3}}}{3} - \frac{4}{3} - \frac{- 24 \log{\left(10 \right)} - 9 \log{\left(10 \right)}^{2} + 6 + \left(4 + 3 \log{\left(10 \right)}\right)^{2}}{3 \sqrt[3]{- \frac{\left(36 + 27 \log{\left(10 \right)}\right) \left(-2 + 3 \log{\left(10 \right)}^{2} + 8 \log{\left(10 \right)}\right)}{2} - 27 \log{\left(10 \right)} + 27 + \frac{\sqrt{- 4 \left(- 24 \log{\left(10 \right)} - 9 \log{\left(10 \right)}^{2} + 6 + \left(4 + 3 \log{\left(10 \right)}\right)^{2}\right)^{3} + \left(- \left(36 + 27 \log{\left(10 \right)}\right) \left(-2 + 3 \log{\left(10 \right)}^{2} + 8 \log{\left(10 \right)}\right) - 54 \log{\left(10 \right)} + 54 + 27 \log{\left(10 \right)}^{3} + 108 \log{\left(10 \right)}^{2} + 2 \left(4 + 3 \log{\left(10 \right)}\right)^{3}\right)^{2}}}{2} + \frac{27 \log{\left(10 \right)}^{3}}{2} + 54 \log{\left(10 \right)}^{2} + \left(4 + 3 \log{\left(10 \right)}\right)^{3}}}}}{10}$$

x3 = exp(-(-(36 + 27*log(10))*(-2 + 3*log(10)^2 + 8*log(10))/2 - 27*log(10) + 27 + sqrt(-4*(-24*log(10) - 9*log(10)^2 + 6 + (4 + 3*log(10))^2)^3 + (-(36 + 27*log(10))*(-2 + 3*log(10)^2 + 8*log(10)) - 54*log(10) + 54 + 27*log(10)^3 + 108*log(10)^2 + 2*(4 + 3*log(10))^3)^2)/2 + 27*log(10)^3/2 + 54*log(10)^2 + (4 + 3*log(10))^3)^(1/3)/3 - 4/3 - (-24*log(10) - 9*log(10)^2 + 6 + (4 + 3*log(10))^2)/(3*(-(36 + 27*log(10))*(-2 + 3*log(10)^2 + 8*log(10))/2 - 27*log(10) + 27 + sqrt(-4*(-24*log(10) - 9*log(10)^2 + 6 + (4 + 3*log(10))^2)^3 + (-(36 + 27*log(10))*(-2 + 3*log(10)^2 + 8*log(10)) - 54*log(10) + 54 + 27*log(10)^3 + 108*log(10)^2 + 2*(4 + 3*log(10))^3)^2)/2 + 27*log(10)^3/2 + 54*log(10)^2 + (4 + 3*log(10))^3)^(1/3)))/10

Suma y producto de raíces [src]

suma

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      /                        3   \/   \54 - 54*log(10) + 2*(4 + 3*log(10))  + 27*log (10) + 108*log (10) - (36 + 27*log(10))*\-2 + 3*log (10) + 8*log(10)//  - 4*\6 + (4 + 3*log(10))  - 24*log(10) - 9*log (10)/                        2       27*log (10)   (36 + 27*log(10))*\-2 + 3*log (10) + 8*log(10)/                                                                                                                                                                                                                                                                                                                    
                                                                     _________________                                        _________________                                                                                                                                                            _________________                                        _________________                                                                                              3 /     27 + (4 + 3*log(10))  + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - 27*log(10) + 54*log (10) + ----------- - -----------------------------------------------                                                                                                                                                        2                     2                                                                                                                                     
                                                                  3 /           _____                                      3 /           _____                                                                                                                                                          3 /           _____                                      3 /           _____                                                                                           4   \/                                                                                                                      2                                                                                                                            2                               2                                                                                                                                                            6 + (4 + 3*log(10))  - 24*log(10) - 9*log (10)                                                                                                                                 
                                                              4   \/  127 + 3*\/ 609               11                  4   \/  127 + 3*\/ 609               11                                                                                                                                      4   \/  127 + 3*\/ 609               11                  4   \/  127 + 3*\/ 609               11                                                                         - - - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                            - - + -------------------- + ----------------------      - - + -------------------- + ----------------------                                                                                                                          - - + -------------------- + ----------------------      - - + -------------------- + ----------------------                                                                 3                                                                                                                                                         3                                                                                                                                                                   _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
   /           _________________                         \    3            6                  _________________        3            6                  _________________    /           _________________                         \      /           _________________                         \    3            6                  _________________        3            6                  _________________    /           _________________                         \                                                                                                                                                                                                                                                                                                                                   /                             ______________________________________________________________________________________________________________________________________________________________________________                                                                                            
   |    ___ 3 /           _____                ___       |                                 3 /           _____                                      3 /           _____     |    ___ 3 /           _____                ___       |      |    ___ 3 /           _____                ___       |                                 3 /           _____                                      3 /           _____     |    ___ 3 /           _____                ___       |                                                                                                                                                                                                                                                                                                                                  /                             /                                                                                                                      2                                                     3                                                                                             
   |  \/ 3 *\/  127 + 3*\/ 609            11*\/ 3        |                               3*\/  127 + 3*\/ 609                                     3*\/  127 + 3*\/ 609      |  \/ 3 *\/  127 + 3*\/ 609            11*\/ 3        |      |  \/ 3 *\/  127 + 3*\/ 609            11*\/ 3        |                               3*\/  127 + 3*\/ 609                                     3*\/  127 + 3*\/ 609      |  \/ 3 *\/  127 + 3*\/ 609            11*\/ 3        |                                                                                                                                                                                                                                                                                                                                 /                             /  /                                   3         3              2                         /          2                \\      /                   2                     2    \                                      3                         /          2                \ 
cos|- -------------------------- + ----------------------|*e                                                      I*e                                                   *sin|- -------------------------- + ----------------------|   cos|- -------------------------- + ----------------------|*e                                                      I*e                                                   *sin|- -------------------------- + ----------------------|                                                                                                                                                                                                                                                                                                                                /                        3   \/   \54 - 54*log(10) + 2*(4 + 3*log(10))  + 27*log (10) + 108*log (10) - (36 + 27*log(10))*\-2 + 3*log (10) + 8*log(10)//  - 4*\6 + (4 + 3*log(10))  - 24*log(10) - 9*log (10)/                        2       27*log (10)   (36 + 27*log(10))*\-2 + 3*log (10) + 8*log(10)/ 
   |              6                     _________________|                                                                                                                  |              6                     _________________|      |              6                     _________________|                                                                                                                  |              6                     _________________|                                                                                                                                                                                                                                                                                                                           3*3 /     27 + (4 + 3*log(10))  + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - 27*log(10) + 54*log (10) + ----------- - ----------------------------------------------- 
   |                                 3 /           _____ |                                                                                                                  |                                 3 /           _____ |      |                                 3 /           _____ |                                                                                                                  |                                 3 /           _____ |                                                                                                                                                                                                                                                                                                                             \/                                                                                                                      2                                                                                                                            2                               2                        
   \                               3*\/  127 + 3*\/ 609  /                                                                                                                  \                               3*\/  127 + 3*\/ 609  /      \                               3*\/  127 + 3*\/ 609  /                                                                                                                  \                               3*\/  127 + 3*\/ 609  /   e                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       
--------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                       10                                                                                                                 10                                                                                                                 10                                                                                                                 10                                                                                                                                                                                                                                                                                                                                                                             10

$$\frac{e^{- \frac{\sqrt[3]{- \frac{\left(36 + 27 \log{\left(10 \right)}\right) \left(-2 + 3 \log{\left(10 \right)}^{2} + 8 \log{\left(10 \right)}\right)}{2} - 27 \log{\left(10 \right)} + 27 + \frac{\sqrt{- 4 \left(- 24 \log{\left(10 \right)} - 9 \log{\left(10 \right)}^{2} + 6 + \left(4 + 3 \log{\left(10 \right)}\right)^{2}\right)^{3} + \left(- \left(36 + 27 \log{\left(10 \right)}\right) \left(-2 + 3 \log{\left(10 \right)}^{2} + 8 \log{\left(10 \right)}\right) - 54 \log{\left(10 \right)} + 54 + 27 \log{\left(10 \right)}^{3} + 108 \log{\left(10 \right)}^{2} + 2 \left(4 + 3 \log{\left(10 \right)}\right)^{3}\right)^{2}}}{2} + \frac{27 \log{\left(10 \right)}^{3}}{2} + 54 \log{\left(10 \right)}^{2} + \left(4 + 3 \log{\left(10 \right)}\right)^{3}}}{3} - \frac{4}{3} - \frac{- 24 \log{\left(10 \right)} - 9 \log{\left(10 \right)}^{2} + 6 + \left(4 + 3 \log{\left(10 \right)}\right)^{2}}{3 \sqrt[3]{- \frac{\left(36 + 27 \log{\left(10 \right)}\right) \left(-2 + 3 \log{\left(10 \right)}^{2} + 8 \log{\left(10 \right)}\right)}{2} - 27 \log{\left(10 \right)} + 27 + \frac{\sqrt{- 4 \left(- 24 \log{\left(10 \right)} - 9 \log{\left(10 \right)}^{2} + 6 + \left(4 + 3 \log{\left(10 \right)}\right)^{2}\right)^{3} + \left(- \left(36 + 27 \log{\left(10 \right)}\right) \left(-2 + 3 \log{\left(10 \right)}^{2} + 8 \log{\left(10 \right)}\right) - 54 \log{\left(10 \right)} + 54 + 27 \log{\left(10 \right)}^{3} + 108 \log{\left(10 \right)}^{2} + 2 \left(4 + 3 \log{\left(10 \right)}\right)^{3}\right)^{2}}}{2} + \frac{27 \log{\left(10 \right)}^{3}}{2} + 54 \log{\left(10 \right)}^{2} + \left(4 + 3 \log{\left(10 \right)}\right)^{3}}}}}{10} + \left(\left(\frac{e^{- \frac{4}{3} + \frac{11}{3 \sqrt[3]{3 \sqrt{609} + 127}} + \frac{\sqrt[3]{3 \sqrt{609} + 127}}{6}} \cos{\left(- \frac{\sqrt{3} \sqrt[3]{3 \sqrt{609} + 127}}{6} + \frac{11 \sqrt{3}}{3 \sqrt[3]{3 \sqrt{609} + 127}} \right)}}{10} + \frac{i e^{- \frac{4}{3} + \frac{11}{3 \sqrt[3]{3 \sqrt{609} + 127}} + \frac{\sqrt[3]{3 \sqrt{609} + 127}}{6}} \sin{\left(- \frac{\sqrt{3} \sqrt[3]{3 \sqrt{609} + 127}}{6} + \frac{11 \sqrt{3}}{3 \sqrt[3]{3 \sqrt{609} + 127}} \right)}}{10}\right) + \left(\frac{e^{- \frac{4}{3} + \frac{11}{3 \sqrt[3]{3 \sqrt{609} + 127}} + \frac{\sqrt[3]{3 \sqrt{609} + 127}}{6}} \cos{\left(- \frac{\sqrt{3} \sqrt[3]{3 \sqrt{609} + 127}}{6} + \frac{11 \sqrt{3}}{3 \sqrt[3]{3 \sqrt{609} + 127}} \right)}}{10} - \frac{i e^{- \frac{4}{3} + \frac{11}{3 \sqrt[3]{3 \sqrt{609} + 127}} + \frac{\sqrt[3]{3 \sqrt{609} + 127}}{6}} \sin{\left(- \frac{\sqrt{3} \sqrt[3]{3 \sqrt{609} + 127}}{6} + \frac{11 \sqrt{3}}{3 \sqrt[3]{3 \sqrt{609} + 127}} \right)}}{10}\right)\right)$$

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           /                             /  /                                   3         3              2                         /          2                \\      /                   2                     2    \                                      3                         /          2                \                                                                                                                                                                                                                                                                                                                                                                                                                                      
          /                        3   \/   \54 - 54*log(10) + 2*(4 + 3*log(10))  + 27*log (10) + 108*log (10) - (36 + 27*log(10))*\-2 + 3*log (10) + 8*log(10)//  - 4*\6 + (4 + 3*log(10))  - 24*log(10) - 9*log (10)/                        2       27*log (10)   (36 + 27*log(10))*\-2 + 3*log (10) + 8*log(10)/                                                                                                                                                                                                                                                                                                                                                                                                                                      
       3 /     27 + (4 + 3*log(10))  + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - 27*log(10) + 54*log (10) + ----------- - -----------------------------------------------                                                                                                                                                        2                     2                                                                                                                                                                                                             _________________                         
   4   \/                                                                                                                      2                                                                                                                            2                               2                                                                                                                                                            6 + (4 + 3*log(10))  - 24*log(10) - 9*log (10)                                                                                                                                                                                                      3 /           _____                          
 - - - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------                                                                 4   \/  127 + 3*\/ 609               11          
   3                                                                                                                                                         3                                                                                                                                                                   _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________                                                               - - + -------------------- + ----------------------
                                                                                                                                                                                                                                                                                                                                /                             ______________________________________________________________________________________________________________________________________________________________________________                                                                                                  /           _________________                         \    3            6                  _________________
                                                                                                                                                                                                                                                                                                                               /                             /                                                                                                                      2                                                     3                                                                                                   |    ___ 3 /           _____                ___       |                                 3 /           _____ 
                                                                                                                                                                                                                                                                                                                              /                             /  /                                   3         3              2                         /          2                \\      /                   2                     2    \                                      3                         /          2                \       |  \/ 3 *\/  127 + 3*\/ 609            11*\/ 3        |                               3*\/  127 + 3*\/ 609  
                                                                                                                                                                                                                                                                                                                             /                        3   \/   \54 - 54*log(10) + 2*(4 + 3*log(10))  + 27*log (10) + 108*log (10) - (36 + 27*log(10))*\-2 + 3*log (10) + 8*log(10)//  - 4*\6 + (4 + 3*log(10))  - 24*log(10) - 9*log (10)/                        2       27*log (10)   (36 + 27*log(10))*\-2 + 3*log (10) + 8*log(10)/    cos|- -------------------------- + ----------------------|*e                                                   
                                                                                                                                                                                                                                                                                                                        3*3 /     27 + (4 + 3*log(10))  + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - 27*log(10) + 54*log (10) + ----------- - -----------------------------------------------       |              6                     _________________|                                                     
                                                                                                                                                                                                                                                                                                                          \/                                                                                                                      2                                                                                                                            2                               2                              |                                 3 /           _____ |                                                     
e                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             \                               3*\/  127 + 3*\/ 609  /                                                     
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                                                                                                                                                   10                                                                                                                                                                                                                                                                                                                                                                             5

$$\frac{e^{- \frac{\sqrt[3]{- \frac{\left(36 + 27 \log{\left(10 \right)}\right) \left(-2 + 3 \log{\left(10 \right)}^{2} + 8 \log{\left(10 \right)}\right)}{2} - 27 \log{\left(10 \right)} + 27 + \frac{\sqrt{- 4 \left(- 24 \log{\left(10 \right)} - 9 \log{\left(10 \right)}^{2} + 6 + \left(4 + 3 \log{\left(10 \right)}\right)^{2}\right)^{3} + \left(- \left(36 + 27 \log{\left(10 \right)}\right) \left(-2 + 3 \log{\left(10 \right)}^{2} + 8 \log{\left(10 \right)}\right) - 54 \log{\left(10 \right)} + 54 + 27 \log{\left(10 \right)}^{3} + 108 \log{\left(10 \right)}^{2} + 2 \left(4 + 3 \log{\left(10 \right)}\right)^{3}\right)^{2}}}{2} + \frac{27 \log{\left(10 \right)}^{3}}{2} + 54 \log{\left(10 \right)}^{2} + \left(4 + 3 \log{\left(10 \right)}\right)^{3}}}{3} - \frac{4}{3} - \frac{- 24 \log{\left(10 \right)} - 9 \log{\left(10 \right)}^{2} + 6 + \left(4 + 3 \log{\left(10 \right)}\right)^{2}}{3 \sqrt[3]{- \frac{\left(36 + 27 \log{\left(10 \right)}\right) \left(-2 + 3 \log{\left(10 \right)}^{2} + 8 \log{\left(10 \right)}\right)}{2} - 27 \log{\left(10 \right)} + 27 + \frac{\sqrt{- 4 \left(- 24 \log{\left(10 \right)} - 9 \log{\left(10 \right)}^{2} + 6 + \left(4 + 3 \log{\left(10 \right)}\right)^{2}\right)^{3} + \left(- \left(36 + 27 \log{\left(10 \right)}\right) \left(-2 + 3 \log{\left(10 \right)}^{2} + 8 \log{\left(10 \right)}\right) - 54 \log{\left(10 \right)} + 54 + 27 \log{\left(10 \right)}^{3} + 108 \log{\left(10 \right)}^{2} + 2 \left(4 + 3 \log{\left(10 \right)}\right)^{3}\right)^{2}}}{2} + \frac{27 \log{\left(10 \right)}^{3}}{2} + 54 \log{\left(10 \right)}^{2} + \left(4 + 3 \log{\left(10 \right)}\right)^{3}}}}}{10} + \frac{e^{- \frac{4}{3} + \frac{11}{3 \sqrt[3]{3 \sqrt{609} + 127}} + \frac{\sqrt[3]{3 \sqrt{609} + 127}}{6}} \cos{\left(- \frac{\sqrt{3} \sqrt[3]{3 \sqrt{609} + 127}}{6} + \frac{11 \sqrt{3}}{3 \sqrt[3]{3 \sqrt{609} + 127}} \right)}}{5}$$

producto

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        /                             /                                                                                                                      2                                                     3                                                                                                                                                                                                                                                                                                                                                                                                                
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       /                             /  /                                   3         3              2                         /          2                \\      /                   2                     2    \                                      3                         /          2                \                                                                                                                                                                                                                                                                                                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      /                        3   \/   \54 - 54*log(10) + 2*(4 + 3*log(10))  + 27*log (10) + 108*log (10) - (36 + 27*log(10))*\-2 + 3*log (10) + 8*log(10)//  - 4*\6 + (4 + 3*log(10))  - 24*log(10) - 9*log (10)/                        2       27*log (10)   (36 + 27*log(10))*\-2 + 3*log (10) + 8*log(10)/                                                                                                                                                                                                                                                                                                                    
/                                                                     _________________                                        _________________                                                                                    \ /                                                                     _________________                                        _________________                                                                                    \        3 /     27 + (4 + 3*log(10))  + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - 27*log(10) + 54*log (10) + ----------- - -----------------------------------------------                                                                                                                                                        2                     2                                                                                                                                     
|                                                                  3 /           _____                                      3 /           _____                                                                                     | |                                                                  3 /           _____                                      3 /           _____                                                                                     |    4   \/                                                                                                                      2                                                                                                                            2                               2                                                                                                                                                            6 + (4 + 3*log(10))  - 24*log(10) - 9*log (10)                                                                                                                                 
|                                                              4   \/  127 + 3*\/ 609               11                  4   \/  127 + 3*\/ 609               11                                                                     | |                                                              4   \/  127 + 3*\/ 609               11                  4   \/  127 + 3*\/ 609               11                                                                     |  - - - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
|                                                            - - + -------------------- + ----------------------      - - + -------------------- + ----------------------                                                           | |                                                            - - + -------------------- + ----------------------      - - + -------------------- + ----------------------                                                           |    3                                                                                                                                                         3                                                                                                                                                                   _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
|   /           _________________                         \    3            6                  _________________        3            6                  _________________    /           _________________                         \| |   /           _________________                         \    3            6                  _________________        3            6                  _________________    /           _________________                         \|                                                                                                                                                                                                                                                                                                                                 /                             ______________________________________________________________________________________________________________________________________________________________________________                                                                                            
|   |    ___ 3 /           _____                ___       |                                 3 /           _____                                      3 /           _____     |    ___ 3 /           _____                ___       || |   |    ___ 3 /           _____                ___       |                                 3 /           _____                                      3 /           _____     |    ___ 3 /           _____                ___       ||                                                                                                                                                                                                                                                                                                                                /                             /                                                                                                                      2                                                     3                                                                                             
|   |  \/ 3 *\/  127 + 3*\/ 609            11*\/ 3        |                               3*\/  127 + 3*\/ 609                                     3*\/  127 + 3*\/ 609      |  \/ 3 *\/  127 + 3*\/ 609            11*\/ 3        || |   |  \/ 3 *\/  127 + 3*\/ 609            11*\/ 3        |                               3*\/  127 + 3*\/ 609                                     3*\/  127 + 3*\/ 609      |  \/ 3 *\/  127 + 3*\/ 609            11*\/ 3        ||                                                                                                                                                                                                                                                                                                                               /                             /  /                                   3         3              2                         /          2                \\      /                   2                     2    \                                      3                         /          2                \ 
|cos|- -------------------------- + ----------------------|*e                                                      I*e                                                   *sin|- -------------------------- + ----------------------|| |cos|- -------------------------- + ----------------------|*e                                                      I*e                                                   *sin|- -------------------------- + ----------------------||                                                                                                                                                                                                                                                                                                                              /                        3   \/   \54 - 54*log(10) + 2*(4 + 3*log(10))  + 27*log (10) + 108*log (10) - (36 + 27*log(10))*\-2 + 3*log (10) + 8*log(10)//  - 4*\6 + (4 + 3*log(10))  - 24*log(10) - 9*log (10)/                        2       27*log (10)   (36 + 27*log(10))*\-2 + 3*log (10) + 8*log(10)/ 
|   |              6                     _________________|                                                                                                                  |              6                     _________________|| |   |              6                     _________________|                                                                                                                  |              6                     _________________||                                                                                                                                                                                                                                                                                                                         3*3 /     27 + (4 + 3*log(10))  + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - 27*log(10) + 54*log (10) + ----------- - ----------------------------------------------- 
|   |                                 3 /           _____ |                                                                                                                  |                                 3 /           _____ || |   |                                 3 /           _____ |                                                                                                                  |                                 3 /           _____ ||                                                                                                                                                                                                                                                                                                                           \/                                                                                                                      2                                                                                                                            2                               2                        
|   \                               3*\/  127 + 3*\/ 609  /                                                                                                                  \                               3*\/  127 + 3*\/ 609  /| |   \                               3*\/  127 + 3*\/ 609  /                                                                                                                  \                               3*\/  127 + 3*\/ 609  /| e                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       
|--------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------|*|--------------------------------------------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------------|*----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
\                                                       10                                                                                                                 10                                                       / \                                                       10                                                                                                                 10                                                       /                                                                                                                                                                                                                                                                                                                    10

$$\left(\frac{e^{- \frac{4}{3} + \frac{11}{3 \sqrt[3]{3 \sqrt{609} + 127}} + \frac{\sqrt[3]{3 \sqrt{609} + 127}}{6}} \cos{\left(- \frac{\sqrt{3} \sqrt[3]{3 \sqrt{609} + 127}}{6} + \frac{11 \sqrt{3}}{3 \sqrt[3]{3 \sqrt{609} + 127}} \right)}}{10} - \frac{i e^{- \frac{4}{3} + \frac{11}{3 \sqrt[3]{3 \sqrt{609} + 127}} + \frac{\sqrt[3]{3 \sqrt{609} + 127}}{6}} \sin{\left(- \frac{\sqrt{3} \sqrt[3]{3 \sqrt{609} + 127}}{6} + \frac{11 \sqrt{3}}{3 \sqrt[3]{3 \sqrt{609} + 127}} \right)}}{10}\right) \left(\frac{e^{- \frac{4}{3} + \frac{11}{3 \sqrt[3]{3 \sqrt{609} + 127}} + \frac{\sqrt[3]{3 \sqrt{609} + 127}}{6}} \cos{\left(- \frac{\sqrt{3} \sqrt[3]{3 \sqrt{609} + 127}}{6} + \frac{11 \sqrt{3}}{3 \sqrt[3]{3 \sqrt{609} + 127}} \right)}}{10} + \frac{i e^{- \frac{4}{3} + \frac{11}{3 \sqrt[3]{3 \sqrt{609} + 127}} + \frac{\sqrt[3]{3 \sqrt{609} + 127}}{6}} \sin{\left(- \frac{\sqrt{3} \sqrt[3]{3 \sqrt{609} + 127}}{6} + \frac{11 \sqrt{3}}{3 \sqrt[3]{3 \sqrt{609} + 127}} \right)}}{10}\right) \frac{e^{- \frac{\sqrt[3]{- \frac{\left(36 + 27 \log{\left(10 \right)}\right) \left(-2 + 3 \log{\left(10 \right)}^{2} + 8 \log{\left(10 \right)}\right)}{2} - 27 \log{\left(10 \right)} + 27 + \frac{\sqrt{- 4 \left(- 24 \log{\left(10 \right)} - 9 \log{\left(10 \right)}^{2} + 6 + \left(4 + 3 \log{\left(10 \right)}\right)^{2}\right)^{3} + \left(- \left(36 + 27 \log{\left(10 \right)}\right) \left(-2 + 3 \log{\left(10 \right)}^{2} + 8 \log{\left(10 \right)}\right) - 54 \log{\left(10 \right)} + 54 + 27 \log{\left(10 \right)}^{3} + 108 \log{\left(10 \right)}^{2} + 2 \left(4 + 3 \log{\left(10 \right)}\right)^{3}\right)^{2}}}{2} + \frac{27 \log{\left(10 \right)}^{3}}{2} + 54 \log{\left(10 \right)}^{2} + \left(4 + 3 \log{\left(10 \right)}\right)^{3}}}{3} - \frac{4}{3} - \frac{- 24 \log{\left(10 \right)} - 9 \log{\left(10 \right)}^{2} + 6 + \left(4 + 3 \log{\left(10 \right)}\right)^{2}}{3 \sqrt[3]{- \frac{\left(36 + 27 \log{\left(10 \right)}\right) \left(-2 + 3 \log{\left(10 \right)}^{2} + 8 \log{\left(10 \right)}\right)}{2} - 27 \log{\left(10 \right)} + 27 + \frac{\sqrt{- 4 \left(- 24 \log{\left(10 \right)} - 9 \log{\left(10 \right)}^{2} + 6 + \left(4 + 3 \log{\left(10 \right)}\right)^{2}\right)^{3} + \left(- \left(36 + 27 \log{\left(10 \right)}\right) \left(-2 + 3 \log{\left(10 \right)}^{2} + 8 \log{\left(10 \right)}\right) - 54 \log{\left(10 \right)} + 54 + 27 \log{\left(10 \right)}^{3} + 108 \log{\left(10 \right)}^{2} + 2 \left(4 + 3 \log{\left(10 \right)}\right)^{3}\right)^{2}}}{2} + \frac{27 \log{\left(10 \right)}^{3}}{2} + 54 \log{\left(10 \right)}^{2} + \left(4 + 3 \log{\left(10 \right)}\right)^{3}}}}}{10}$$

 -4 
e   
----
1000

$$\frac{1}{1000 e^{4}}$$

exp(-4)/1000

Respuesta numérica [src]

x1 = 0.107482813477456 - 0.0746380605784572*i

x2 = 0.107482813477456 + 0.0746380605784572*i

x3 = 0.00106962658919564

x3 = 0.00106962658919564

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