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1÷(x-3)^2-3÷x-3-4=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
   1       3            
-------- - - - 3 - 4 = 0
       2   x            
(x - 3)
((1(x−3)2−3x)−3)−4=0\left(\left(\frac{1}{\left(x - 3\right)^{2}} - \frac{3}{x}\right) - 3\right) - 4 = 0
Simplificar
Gráfica
-15.0-12.5-10.0-7.5-5.0-2.50.02.55.07.515.010.012.5-200000200000
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
                /                      1                      \     /        /                      1                      \                                                                    \                                                                    
          199*re|---------------------------------------------|     |  199*im|---------------------------------------------|              /    /    ________\\              /    /    ________\\|              /    /    ________\\              /    /    ________\\
                |                     ________________________|     |        |                     ________________________|              |    |7*\/ 490971 ||              |    |7*\/ 490971 |||              |    |7*\/ 490971 ||              |    |7*\/ 490971 ||
                |/          ___\     /               ________ |     |        |/          ___\     /               ________ |              |atan|------------||              |atan|------------|||              |atan|------------||              |atan|------------||
                ||  1   I*\/ 3 |    /  25191   3*I*\/ 490971  |     |        ||  1   I*\/ 3 |    /  25191   3*I*\/ 490971  |     _____    |    \    8397    /|     _____    |    \    8397    /||     _____    |    \    8397    /|     _____    |    \    8397    /|
                ||- - - -------|*3 /   ----- + -------------- |     |        ||- - - -------|*3 /   ----- + -------------- |   \/ 199 *cos|------------------|   \/ 597 *sin|------------------||   \/ 199 *sin|------------------|   \/ 597 *cos|------------------|
     13         \\  2      2   / \/     686          98       /     |        \\  2      2   / \/     686          98       /              \        3         /              \        3         /|              \        3         /              \        3         /
x1 = -- - ----------------------------------------------------- + I*|- ----------------------------------------------------- + ------------------------------- + -------------------------------| - ------------------------------- + -------------------------------
     7                              49                              \                            49                                           14                                42              /                  14                                42
x1=−199sin⁡(atan⁡(74909718397)3)14−199re⁡(1(−12−3i2)25191686+3490971i983)49+597cos⁡(atan⁡(74909718397)3)42+137+i(−199im⁡(1(−12−3i2)25191686+3490971i983)49+597sin⁡(atan⁡(74909718397)3)42+199cos⁡(atan⁡(74909718397)3)14)x_{1} = - \frac{\sqrt{199} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14} - \frac{199 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{\sqrt{597} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} + \frac{13}{7} + i \left(- \frac{199 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{\sqrt{597} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} + \frac{\sqrt{199} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14}\right) 
                /                      1                      \     /        /                      1                      \                                                                    \                                                                    
          199*re|---------------------------------------------|     |  199*im|---------------------------------------------|              /    /    ________\\              /    /    ________\\|              /    /    ________\\              /    /    ________\\
                |                     ________________________|     |        |                     ________________________|              |    |7*\/ 490971 ||              |    |7*\/ 490971 |||              |    |7*\/ 490971 ||              |    |7*\/ 490971 ||
                |/          ___\     /               ________ |     |        |/          ___\     /               ________ |              |atan|------------||              |atan|------------|||              |atan|------------||              |atan|------------||
                ||  1   I*\/ 3 |    /  25191   3*I*\/ 490971  |     |        ||  1   I*\/ 3 |    /  25191   3*I*\/ 490971  |     _____    |    \    8397    /|     _____    |    \    8397    /||     _____    |    \    8397    /|     _____    |    \    8397    /|
                ||- - + -------|*3 /   ----- + -------------- |     |        ||- - + -------|*3 /   ----- + -------------- |   \/ 199 *cos|------------------|   \/ 597 *sin|------------------||   \/ 199 *sin|------------------|   \/ 597 *cos|------------------|
     13         \\  2      2   / \/     686          98       /     |        \\  2      2   / \/     686          98       /              \        3         /              \        3         /|              \        3         /              \        3         /
x2 = -- - ----------------------------------------------------- + I*|- ----------------------------------------------------- - ------------------------------- + -------------------------------| + ------------------------------- + -------------------------------
     7                              49                              \                            49                                           14                                42              /                  14                                42
x2=199sin⁡(atan⁡(74909718397)3)14+597cos⁡(atan⁡(74909718397)3)42−199re⁡(1(−12+3i2)25191686+3490971i983)49+137+i(−199cos⁡(atan⁡(74909718397)3)14+597sin⁡(atan⁡(74909718397)3)42−199im⁡(1(−12+3i2)25191686+3490971i983)49)x_{2} = \frac{\sqrt{199} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14} + \frac{\sqrt{597} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} - \frac{199 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{13}{7} + i \left(- \frac{\sqrt{199} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14} + \frac{\sqrt{597} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} - \frac{199 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49}\right) 
                                                  ________________________
                                                 /               ________ 
                                                /  25191   3*I*\/ 490971  
                                             3 /   ----- + -------------- 
     13                 199                  \/     686          98       
x3 = -- - -------------------------------- - -----------------------------
     7            ________________________                 3              
                 /               ________                                 
                /  25191   3*I*\/ 490971                                  
          49*3 /   ----- + --------------                                 
             \/     686          98
x3=137−25191686+3490971i9833−1994925191686+3490971i983x_{3} = \frac{13}{7} - \frac{\sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}{3} - \frac{199}{49 \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}} 
x3 = 13/7 - (25191/686 + 3*sqrt(490971)*i/98)^(1/3)/3 - 199/(49*(25191/686 + 3*sqrt(490971)*i/98)^(1/3))
Suma y producto de raíces [src] 
suma
           /                      1                      \     /        /                      1                      \                                                                    \                                                                                  /                      1                      \     /        /                      1                      \                                                                    \                                                                                                                                            
     199*re|---------------------------------------------|     |  199*im|---------------------------------------------|              /    /    ________\\              /    /    ________\\|              /    /    ________\\              /    /    ________\\        199*re|---------------------------------------------|     |  199*im|---------------------------------------------|              /    /    ________\\              /    /    ________\\|              /    /    ________\\              /    /    ________\\                                                                        
           |                     ________________________|     |        |                     ________________________|              |    |7*\/ 490971 ||              |    |7*\/ 490971 |||              |    |7*\/ 490971 ||              |    |7*\/ 490971 ||              |                     ________________________|     |        |                     ________________________|              |    |7*\/ 490971 ||              |    |7*\/ 490971 |||              |    |7*\/ 490971 ||              |    |7*\/ 490971 ||                                                ________________________
           |/          ___\     /               ________ |     |        |/          ___\     /               ________ |              |atan|------------||              |atan|------------|||              |atan|------------||              |atan|------------||              |/          ___\     /               ________ |     |        |/          ___\     /               ________ |              |atan|------------||              |atan|------------|||              |atan|------------||              |atan|------------||                                               /               ________ 
           ||  1   I*\/ 3 |    /  25191   3*I*\/ 490971  |     |        ||  1   I*\/ 3 |    /  25191   3*I*\/ 490971  |     _____    |    \    8397    /|     _____    |    \    8397    /||     _____    |    \    8397    /|     _____    |    \    8397    /|              ||  1   I*\/ 3 |    /  25191   3*I*\/ 490971  |     |        ||  1   I*\/ 3 |    /  25191   3*I*\/ 490971  |     _____    |    \    8397    /|     _____    |    \    8397    /||     _____    |    \    8397    /|     _____    |    \    8397    /|                                              /  25191   3*I*\/ 490971  
           ||- - - -------|*3 /   ----- + -------------- |     |        ||- - - -------|*3 /   ----- + -------------- |   \/ 199 *cos|------------------|   \/ 597 *sin|------------------||   \/ 199 *sin|------------------|   \/ 597 *cos|------------------|              ||- - + -------|*3 /   ----- + -------------- |     |        ||- - + -------|*3 /   ----- + -------------- |   \/ 199 *cos|------------------|   \/ 597 *sin|------------------||   \/ 199 *sin|------------------|   \/ 597 *cos|------------------|                                           3 /   ----- + -------------- 
13         \\  2      2   / \/     686          98       /     |        \\  2      2   / \/     686          98       /              \        3         /              \        3         /|              \        3         /              \        3         /   13         \\  2      2   / \/     686          98       /     |        \\  2      2   / \/     686          98       /              \        3         /              \        3         /|              \        3         /              \        3         /   13                 199                  \/     686          98       
-- - ----------------------------------------------------- + I*|- ----------------------------------------------------- + ------------------------------- + -------------------------------| - ------------------------------- + ------------------------------- + -- - ----------------------------------------------------- + I*|- ----------------------------------------------------- - ------------------------------- + -------------------------------| + ------------------------------- + ------------------------------- + -- - -------------------------------- - -----------------------------
7                              49                              \                            49                                           14                                42              /                  14                                42                 7                              49                              \                            49                                           14                                42              /                  14                                42                 7            ________________________                 3              
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  /               ________                                 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 /  25191   3*I*\/ 490971                                  
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           49*3 /   ----- + --------------                                 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \/     686          98
((−199sin⁡(atan⁡(74909718397)3)14−199re⁡(1(−12−3i2)25191686+3490971i983)49+597cos⁡(atan⁡(74909718397)3)42+137+i(−199im⁡(1(−12−3i2)25191686+3490971i983)49+597sin⁡(atan⁡(74909718397)3)42+199cos⁡(atan⁡(74909718397)3)14))+(199sin⁡(atan⁡(74909718397)3)14+597cos⁡(atan⁡(74909718397)3)42−199re⁡(1(−12+3i2)25191686+3490971i983)49+137+i(−199cos⁡(atan⁡(74909718397)3)14+597sin⁡(atan⁡(74909718397)3)42−199im⁡(1(−12+3i2)25191686+3490971i983)49)))+(137−25191686+3490971i9833−1994925191686+3490971i983)\left(\left(- \frac{\sqrt{199} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14} - \frac{199 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{\sqrt{597} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} + \frac{13}{7} + i \left(- \frac{199 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{\sqrt{597} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} + \frac{\sqrt{199} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14}\right)\right) + \left(\frac{\sqrt{199} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14} + \frac{\sqrt{597} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} - \frac{199 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{13}{7} + i \left(- \frac{\sqrt{199} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14} + \frac{\sqrt{597} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} - \frac{199 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49}\right)\right)\right) + \left(\frac{13}{7} - \frac{\sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}{3} - \frac{199}{49 \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right) 
=
                                              /                      1                      \         /                      1                      \                                     /        /                      1                      \                                                                    \     /        /                      1                      \                                                                    \                                  
                                        199*re|---------------------------------------------|   199*re|---------------------------------------------|                                     |  199*im|---------------------------------------------|              /    /    ________\\              /    /    ________\\|     |  199*im|---------------------------------------------|              /    /    ________\\              /    /    ________\\|              /    /    ________\\
                                              |                     ________________________|         |                     ________________________|        ________________________     |        |                     ________________________|              |    |7*\/ 490971 ||              |    |7*\/ 490971 |||     |        |                     ________________________|              |    |7*\/ 490971 ||              |    |7*\/ 490971 |||              |    |7*\/ 490971 ||
                                              |/          ___\     /               ________ |         |/          ___\     /               ________ |       /               ________      |        |/          ___\     /               ________ |              |atan|------------||              |atan|------------|||     |        |/          ___\     /               ________ |              |atan|------------||              |atan|------------|||              |atan|------------||
                                              ||  1   I*\/ 3 |    /  25191   3*I*\/ 490971  |         ||  1   I*\/ 3 |    /  25191   3*I*\/ 490971  |      /  25191   3*I*\/ 490971       |        ||  1   I*\/ 3 |    /  25191   3*I*\/ 490971  |     _____    |    \    8397    /|     _____    |    \    8397    /||     |        ||  1   I*\/ 3 |    /  25191   3*I*\/ 490971  |     _____    |    \    8397    /|     _____    |    \    8397    /||     _____    |    \    8397    /|
                                              ||- - + -------|*3 /   ----- + -------------- |         ||- - - -------|*3 /   ----- + -------------- |   3 /   ----- + --------------      |        ||- - + -------|*3 /   ----- + -------------- |   \/ 199 *cos|------------------|   \/ 597 *sin|------------------||     |        ||- - - -------|*3 /   ----- + -------------- |   \/ 199 *cos|------------------|   \/ 597 *sin|------------------||   \/ 597 *cos|------------------|
39                 199                        \\  2      2   / \/     686          98       /         \\  2      2   / \/     686          98       /   \/     686          98            |        \\  2      2   / \/     686          98       /              \        3         /              \        3         /|     |        \\  2      2   / \/     686          98       /              \        3         /              \        3         /|              \        3         /
-- - -------------------------------- - ----------------------------------------------------- - ----------------------------------------------------- - ----------------------------- + I*|- ----------------------------------------------------- - ------------------------------- + -------------------------------| + I*|- ----------------------------------------------------- + ------------------------------- + -------------------------------| + -------------------------------
7            ________________________                             49                                                      49                                          3                   \                            49                                           14                                42              /     \                            49                                           14                                42              /                  21              
            /               ________                                                                                                                                                                                                                                                                                                                                                                                                                                                       
           /  25191   3*I*\/ 490971                                                                                                                                                                                                                                                                                                                                                                                                                                                        
     49*3 /   ----- + --------------                                                                                                                                                                                                                                                                                                                                                                                                                                                       
        \/     686          98
−199re⁡(1(−12−3i2)25191686+3490971i983)49−199re⁡(1(−12+3i2)25191686+3490971i983)49+597cos⁡(atan⁡(74909718397)3)21+397−25191686+3490971i9833+i(−199im⁡(1(−12−3i2)25191686+3490971i983)49+597sin⁡(atan⁡(74909718397)3)42+199cos⁡(atan⁡(74909718397)3)14)+i(−199cos⁡(atan⁡(74909718397)3)14+597sin⁡(atan⁡(74909718397)3)42−199im⁡(1(−12+3i2)25191686+3490971i983)49)−1994925191686+3490971i983- \frac{199 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} - \frac{199 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{\sqrt{597} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{21} + \frac{39}{7} - \frac{\sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}{3} + i \left(- \frac{199 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{\sqrt{597} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} + \frac{\sqrt{199} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14}\right) + i \left(- \frac{\sqrt{199} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14} + \frac{\sqrt{597} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} - \frac{199 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49}\right) - \frac{199}{49 \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}} 
producto
/           /                      1                      \     /        /                      1                      \                                                                    \                                                                    \ /           /                      1                      \     /        /                      1                      \                                                                    \                                                                    \                                                                        
|     199*re|---------------------------------------------|     |  199*im|---------------------------------------------|              /    /    ________\\              /    /    ________\\|              /    /    ________\\              /    /    ________\\| |     199*re|---------------------------------------------|     |  199*im|---------------------------------------------|              /    /    ________\\              /    /    ________\\|              /    /    ________\\              /    /    ________\\|                                                                        
|           |                     ________________________|     |        |                     ________________________|              |    |7*\/ 490971 ||              |    |7*\/ 490971 |||              |    |7*\/ 490971 ||              |    |7*\/ 490971 ||| |           |                     ________________________|     |        |                     ________________________|              |    |7*\/ 490971 ||              |    |7*\/ 490971 |||              |    |7*\/ 490971 ||              |    |7*\/ 490971 ||| /                                             ________________________\
|           |/          ___\     /               ________ |     |        |/          ___\     /               ________ |              |atan|------------||              |atan|------------|||              |atan|------------||              |atan|------------||| |           |/          ___\     /               ________ |     |        |/          ___\     /               ________ |              |atan|------------||              |atan|------------|||              |atan|------------||              |atan|------------||| |                                            /               ________ |
|           ||  1   I*\/ 3 |    /  25191   3*I*\/ 490971  |     |        ||  1   I*\/ 3 |    /  25191   3*I*\/ 490971  |     _____    |    \    8397    /|     _____    |    \    8397    /||     _____    |    \    8397    /|     _____    |    \    8397    /|| |           ||  1   I*\/ 3 |    /  25191   3*I*\/ 490971  |     |        ||  1   I*\/ 3 |    /  25191   3*I*\/ 490971  |     _____    |    \    8397    /|     _____    |    \    8397    /||     _____    |    \    8397    /|     _____    |    \    8397    /|| |                                           /  25191   3*I*\/ 490971  |
|           ||- - - -------|*3 /   ----- + -------------- |     |        ||- - - -------|*3 /   ----- + -------------- |   \/ 199 *cos|------------------|   \/ 597 *sin|------------------||   \/ 199 *sin|------------------|   \/ 597 *cos|------------------|| |           ||- - + -------|*3 /   ----- + -------------- |     |        ||- - + -------|*3 /   ----- + -------------- |   \/ 199 *cos|------------------|   \/ 597 *sin|------------------||   \/ 199 *sin|------------------|   \/ 597 *cos|------------------|| |                                        3 /   ----- + -------------- |
|13         \\  2      2   / \/     686          98       /     |        \\  2      2   / \/     686          98       /              \        3         /              \        3         /|              \        3         /              \        3         /| |13         \\  2      2   / \/     686          98       /     |        \\  2      2   / \/     686          98       /              \        3         /              \        3         /|              \        3         /              \        3         /| |13                 199                  \/     686          98       |
|-- - ----------------------------------------------------- + I*|- ----------------------------------------------------- + ------------------------------- + -------------------------------| - ------------------------------- + -------------------------------|*|-- - ----------------------------------------------------- + I*|- ----------------------------------------------------- - ------------------------------- + -------------------------------| + ------------------------------- + -------------------------------|*|-- - -------------------------------- - -----------------------------|
\7                              49                              \                            49                                           14                                42              /                  14                                42              / \7                              49                              \                            49                                           14                                42              /                  14                                42              / |7            ________________________                 3              |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      |            /               ________                                 |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      |           /  25191   3*I*\/ 490971                                  |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      |     49*3 /   ----- + --------------                                 |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \        \/     686          98                                       /
(−199sin⁡(atan⁡(74909718397)3)14−199re⁡(1(−12−3i2)25191686+3490971i983)49+597cos⁡(atan⁡(74909718397)3)42+137+i(−199im⁡(1(−12−3i2)25191686+3490971i983)49+597sin⁡(atan⁡(74909718397)3)42+199cos⁡(atan⁡(74909718397)3)14))(199sin⁡(atan⁡(74909718397)3)14+597cos⁡(atan⁡(74909718397)3)42−199re⁡(1(−12+3i2)25191686+3490971i983)49+137+i(−199cos⁡(atan⁡(74909718397)3)14+597sin⁡(atan⁡(74909718397)3)42−199im⁡(1(−12+3i2)25191686+3490971i983)49))(137−25191686+3490971i9833−1994925191686+3490971i983)\left(- \frac{\sqrt{199} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14} - \frac{199 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{\sqrt{597} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} + \frac{13}{7} + i \left(- \frac{199 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{\sqrt{597} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} + \frac{\sqrt{199} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14}\right)\right) \left(\frac{\sqrt{199} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14} + \frac{\sqrt{597} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} - \frac{199 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49} + \frac{13}{7} + i \left(- \frac{\sqrt{199} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{14} + \frac{\sqrt{597} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}}{42} - \frac{199 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right)}}{49}\right)\right) \left(\frac{13}{7} - \frac{\sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}{3} - \frac{199}{49 \sqrt[3]{\frac{25191}{686} + \frac{3 \sqrt{490971} i}{98}}}\right) 
=
                                                                                           /               /      /    ________\\                  /    /    ________\\\ 
                                                                                           |               |      |7*\/ 490971 ||                  |    |7*\/ 490971 ||| 
      /                _________________________ /             _________________________\\ |               |2*atan|------------||                  |atan|------------||| 
  2/3 |     3 ___   3 /                ________  |      2/3 3 /                ________ || |               |      \    8397    /|         _____    |    \    8397    /|| 
-3   *\1194*\/ 2  - \/  25191 + 21*I*\/ 490971  *\78 - 2   *\/  25191 + 21*I*\/ 490971  //*|3696 + 4776*cos|--------------------| + 312*\/ 597 *cos|------------------|| 
                                                                                           \               \         3          /                  \        3         // 
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                              _______________________                                                                    
                                                                           3 /              ________                                                                     
                                                                    222264*\/  8397 + 7*I*\/ 490971
−323(119423−(78−22325191+21490971i3)25191+21490971i3)(3696+4776cos⁡(2atan⁡(74909718397)3)+312597cos⁡(atan⁡(74909718397)3))2222648397+7490971i3- \frac{3^{\frac{2}{3}} \left(1194 \sqrt[3]{2} - \left(78 - 2^{\frac{2}{3}} \sqrt[3]{25191 + 21 \sqrt{490971} i}\right) \sqrt[3]{25191 + 21 \sqrt{490971} i}\right) \left(3696 + 4776 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)} + 312 \sqrt{597} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{490971}}{8397} \right)}}{3} \right)}\right)}{222264 \sqrt[3]{8397 + 7 \sqrt{490971} i}} 
-3^(2/3)*(1194*2^(1/3) - (25191 + 21*i*sqrt(490971))^(1/3)*(78 - 2^(2/3)*(25191 + 21*i*sqrt(490971))^(1/3)))*(3696 + 4776*cos(2*atan(7*sqrt(490971)/8397)/3) + 312*sqrt(597)*cos(atan(7*sqrt(490971)/8397)/3))/(222264*(8397 + 7*i*sqrt(490971))^(1/3))
Respuesta numérica [src] 
x1 = 2.64933556712786 + 0.e-22*i
x2 = 3.35592051444797 - 0.e-23*i
x3 = -0.433827510147265 + 0.e-21*i
x3 = -0.433827510147265 + 0.e-21*i
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