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exp((x^2-13*x-42*j)*ln(x^2-7*x-11*j))=1 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
 / 2              \    / 2             \    
 \x  - 13*x - 42*I/*log\x  - 7*x - 11*I/    
e                                        = 1
e((x2−13x)−42i)log⁡((x2−7x)−11i)=1e^{\left(\left(x^{2} - 13 x\right) - 42 i\right) \log{\left(\left(x^{2} - 7 x\right) - 11 i \right)}} = 1
Simplificar
Gráfica
Respuesta rápida [src] 
                     /    /44\\                 /    /44\\
                     |atan|--||                 |atan|--||
         4 ______    |    \53/|     4 ______    |    \53/|
         \/ 4745 *cos|--------|   I*\/ 4745 *sin|--------|
     7               \   2    /                 \   2    /
x1 = - - ---------------------- - ------------------------
     2             2                         2
x1=−47454cos⁡(atan⁡(4453)2)2+72−47454isin⁡(atan⁡(4453)2)2x_{1} = - \frac{\sqrt[4]{4745} \cos{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2} + \frac{7}{2} - \frac{\sqrt[4]{4745} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2} 
                     /    /44\\                 /    /44\\
                     |atan|--||                 |atan|--||
         4 ______    |    \53/|     4 ______    |    \53/|
         \/ 4745 *cos|--------|   I*\/ 4745 *sin|--------|
     7               \   2    /                 \   2    /
x2 = - + ---------------------- + ------------------------
     2             2                         2
x2=72+47454cos⁡(atan⁡(4453)2)2+47454isin⁡(atan⁡(4453)2)2x_{2} = \frac{7}{2} + \frac{\sqrt[4]{4745} \cos{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{4745} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2} 
                       /    /168\\                  /    /168\\
                       |atan|---||                  |atan|---||
          4 _______    |    \169/|     4 _______    |    \169/|
          \/ 56785 *cos|---------|   I*\/ 56785 *sin|---------|
     13                \    2    /                  \    2    /
x3 = -- - ------------------------ - --------------------------
     2               2                           2
x3=−567854cos⁡(atan⁡(168169)2)2+132−567854isin⁡(atan⁡(168169)2)2x_{3} = - \frac{\sqrt[4]{56785} \cos{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2} + \frac{13}{2} - \frac{\sqrt[4]{56785} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2} 
                       /    /168\\                  /    /168\\
                       |atan|---||                  |atan|---||
          4 _______    |    \169/|     4 _______    |    \169/|
          \/ 56785 *cos|---------|   I*\/ 56785 *sin|---------|
     13                \    2    /                  \    2    /
x4 = -- + ------------------------ + --------------------------
     2               2                           2
x4=132+567854cos⁡(atan⁡(168169)2)2+567854isin⁡(atan⁡(168169)2)2x_{4} = \frac{13}{2} + \frac{\sqrt[4]{56785} \cos{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{56785} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2} 
x4 = 13/2 + 56785^(1/4)*cos(atan(168/169)/2)/2 + 56785^(1/4)*i*sin(atan(168/169)/2)/2
Suma y producto de raíces [src] 
suma
                /    /44\\                 /    /44\\                   /    /44\\                 /    /44\\                     /    /168\\                  /    /168\\                     /    /168\\                  /    /168\\
                |atan|--||                 |atan|--||                   |atan|--||                 |atan|--||                     |atan|---||                  |atan|---||                     |atan|---||                  |atan|---||
    4 ______    |    \53/|     4 ______    |    \53/|       4 ______    |    \53/|     4 ______    |    \53/|        4 _______    |    \169/|     4 _______    |    \169/|        4 _______    |    \169/|     4 _______    |    \169/|
    \/ 4745 *cos|--------|   I*\/ 4745 *sin|--------|       \/ 4745 *cos|--------|   I*\/ 4745 *sin|--------|        \/ 56785 *cos|---------|   I*\/ 56785 *sin|---------|        \/ 56785 *cos|---------|   I*\/ 56785 *sin|---------|
7               \   2    /                 \   2    /   7               \   2    /                 \   2    /   13                \    2    /                  \    2    /   13                \    2    /                  \    2    /
- - ---------------------- - ------------------------ + - + ---------------------- + ------------------------ + -- - ------------------------ - -------------------------- + -- + ------------------------ + --------------------------
2             2                         2               2             2                         2               2               2                           2                2               2                           2
((−567854cos⁡(atan⁡(168169)2)2+132−567854isin⁡(atan⁡(168169)2)2)+((−47454cos⁡(atan⁡(4453)2)2+72−47454isin⁡(atan⁡(4453)2)2)+(72+47454cos⁡(atan⁡(4453)2)2+47454isin⁡(atan⁡(4453)2)2)))+(132+567854cos⁡(atan⁡(168169)2)2+567854isin⁡(atan⁡(168169)2)2)\left(\left(- \frac{\sqrt[4]{56785} \cos{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2} + \frac{13}{2} - \frac{\sqrt[4]{56785} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2}\right) + \left(\left(- \frac{\sqrt[4]{4745} \cos{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2} + \frac{7}{2} - \frac{\sqrt[4]{4745} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2}\right) + \left(\frac{7}{2} + \frac{\sqrt[4]{4745} \cos{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{4745} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2}\right)\right)\right) + \left(\frac{13}{2} + \frac{\sqrt[4]{56785} \cos{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{56785} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2}\right) 
=
20
2020 
producto
/                /    /44\\                 /    /44\\\ /                /    /44\\                 /    /44\\\ /                  /    /168\\                  /    /168\\\ /                  /    /168\\                  /    /168\\\
|                |atan|--||                 |atan|--||| |                |atan|--||                 |atan|--||| |                  |atan|---||                  |atan|---||| |                  |atan|---||                  |atan|---|||
|    4 ______    |    \53/|     4 ______    |    \53/|| |    4 ______    |    \53/|     4 ______    |    \53/|| |     4 _______    |    \169/|     4 _______    |    \169/|| |     4 _______    |    \169/|     4 _______    |    \169/||
|    \/ 4745 *cos|--------|   I*\/ 4745 *sin|--------|| |    \/ 4745 *cos|--------|   I*\/ 4745 *sin|--------|| |     \/ 56785 *cos|---------|   I*\/ 56785 *sin|---------|| |     \/ 56785 *cos|---------|   I*\/ 56785 *sin|---------||
|7               \   2    /                 \   2    /| |7               \   2    /                 \   2    /| |13                \    2    /                  \    2    /| |13                \    2    /                  \    2    /|
|- - ---------------------- - ------------------------|*|- + ---------------------- + ------------------------|*|-- - ------------------------ - --------------------------|*|-- + ------------------------ + --------------------------|
\2             2                         2            / \2             2                         2            / \2               2                           2             / \2               2                           2             /
(72+47454cos⁡(atan⁡(4453)2)2+47454isin⁡(atan⁡(4453)2)2)(−47454cos⁡(atan⁡(4453)2)2+72−47454isin⁡(atan⁡(4453)2)2)(−567854cos⁡(atan⁡(168169)2)2+132−567854isin⁡(atan⁡(168169)2)2)(132+567854cos⁡(atan⁡(168169)2)2+567854isin⁡(atan⁡(168169)2)2)\left(\frac{7}{2} + \frac{\sqrt[4]{4745} \cos{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{4745} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2}\right) \left(- \frac{\sqrt[4]{4745} \cos{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2} + \frac{7}{2} - \frac{\sqrt[4]{4745} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{44}{53} \right)}}{2} \right)}}{2}\right) \left(- \frac{\sqrt[4]{56785} \cos{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2} + \frac{13}{2} - \frac{\sqrt[4]{56785} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2}\right) \left(\frac{13}{2} + \frac{\sqrt[4]{56785} \cos{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2} + \frac{\sqrt[4]{56785} i \sin{\left(\frac{\operatorname{atan}{\left(\frac{168}{169} \right)}}{2} \right)}}{2}\right) 
=
-462 + 42*I
−462+42i-462 + 42 i 
-462 + 42*i
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