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La ecuación:
Ecuación 6x+1=-4x
Ecuación x+y-3=0
Ecuación x^2=-3
Ecuación 9-7(x+3)=5-6x
Expresar {x} en función de y en la ecuación:
-11*x+9*y=-20
5*x-14*y=-15
-10*x+15*y=10
-9*x-6*y=12
Expresiones idénticas
x+ ocho /x- cuarenta y cuatro /x- ocho =2x- cincuenta y seis /(x- cuatro)(x- ocho)
x más 8 dividir por x menos 44 dividir por x menos 8 es igual a 2x menos 56 dividir por (x menos 4)(x menos 8)
x más ocho dividir por x menos cuarenta y cuatro dividir por x menos ocho es igual a 2x menos cincuenta y seis dividir por (x menos cuatro)(x menos ocho)
x+8/x-44/x-8=2x-56/x-4x-8
x+8 dividir por x-44 dividir por x-8=2x-56 dividir por (x-4)(x-8)
Expresiones semejantes
x+8/x-44/x-8=2x+56/(x-4)(x-8)
x+8/x-44/x-8=2x-56/(x+4)(x-8)
x-8/x-44/x-8=2x-56/(x-4)(x-8)
x+8/x+44/x-8=2x-56/(x-4)(x-8)
x+8/x-44/x-8=2x-56/(x-4)(x+8)
x+8/x-44/x+8=2x-56/(x-4)(x-8)

x+8/x-44/x-8=2x-56/(x-4)(x-8) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

    8   44               56         
x + - - -- - 8 = 2*x - -----*(x - 8)
    x   x              x - 4

\left(\left(x + \frac{8}{x}\right) - \frac{44}{x}\right) - 8 = 2 x - \left(x - 8\right) \frac{56}{x - 4}

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

                /                     1                     \     /      /                     1                     \                                                                       \                                                                       
          674*re|-------------------------------------------|     |674*im|-------------------------------------------|              /    /    _________\\               /    /    _________\\|              /    /    _________\\               /    /    _________\\
                |                     ______________________|     |      |                     ______________________|              |    |3*\/ 1903461 ||               |    |3*\/ 1903461 |||              |    |3*\/ 1903461 ||               |    |3*\/ 1903461 ||
                |/          ___\     /            _________ |     |      |/          ___\     /            _________ |              |atan|-------------||               |atan|-------------|||              |atan|-------------||               |atan|-------------||
                ||  1   I*\/ 3 |    /  4598   I*\/ 1903461  |     |      ||  1   I*\/ 3 |    /  4598   I*\/ 1903461  |     _____    |    \     4598    /|     ______    |    \     4598    /||     _____    |    \     4598    /|     ______    |    \     4598    /|
                ||- - - -------|*3 /   ---- + ------------- |     |      ||- - - -------|*3 /   ---- + ------------- |   \/ 337 *sin|-------------------|   \/ 1011 *cos|-------------------||   \/ 337 *cos|-------------------|   \/ 1011 *sin|-------------------|
     52         \\  2      2   / \/     27          9       /     |      \\  2      2   / \/     27          9       /              \         3         /               \         3         /|              \         3         /               \         3         /
x1 = -- + --------------------------------------------------- + I*|--------------------------------------------------- - -------------------------------- - ---------------------------------| - -------------------------------- + ---------------------------------
     3                             9                              \                         9                                           3                                   3                /                  3                                   3

x_{1} = - \frac{\sqrt{337} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} + \frac{674 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}}\right)}}{9} + \frac{\sqrt{1011} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} + \frac{52}{3} + i \left(- \frac{\sqrt{1011} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} - \frac{\sqrt{337} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} + \frac{674 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}}\right)}}{9}\right)

                /                     1                     \     /      /                     1                     \                                                                       \                                                                       
          674*re|-------------------------------------------|     |674*im|-------------------------------------------|              /    /    _________\\               /    /    _________\\|              /    /    _________\\               /    /    _________\\
                |                     ______________________|     |      |                     ______________________|              |    |3*\/ 1903461 ||               |    |3*\/ 1903461 |||              |    |3*\/ 1903461 ||               |    |3*\/ 1903461 ||
                |/          ___\     /            _________ |     |      |/          ___\     /            _________ |              |atan|-------------||               |atan|-------------|||              |atan|-------------||               |atan|-------------||
                ||  1   I*\/ 3 |    /  4598   I*\/ 1903461  |     |      ||  1   I*\/ 3 |    /  4598   I*\/ 1903461  |     _____    |    \     4598    /|     ______    |    \     4598    /||     _____    |    \     4598    /|     ______    |    \     4598    /|
                ||- - + -------|*3 /   ---- + ------------- |     |      ||- - + -------|*3 /   ---- + ------------- |   \/ 337 *sin|-------------------|   \/ 1011 *cos|-------------------||   \/ 337 *cos|-------------------|   \/ 1011 *sin|-------------------|
     52         \\  2      2   / \/     27          9       /     |      \\  2      2   / \/     27          9       /              \         3         /               \         3         /|              \         3         /               \         3         /
x2 = -- + --------------------------------------------------- + I*|--------------------------------------------------- - -------------------------------- + ---------------------------------| - -------------------------------- - ---------------------------------
     3                             9                              \                         9                                           3                                   3                /                  3                                   3

x_{2} = \frac{674 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}}\right)}}{9} - \frac{\sqrt{337} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} - \frac{\sqrt{1011} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} + \frac{52}{3} + i \left(\frac{674 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}}\right)}}{9} - \frac{\sqrt{337} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} + \frac{\sqrt{1011} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3}\right)

                 ______________________                                
                /            _________                                 
     52        /  4598   I*\/ 1903461                  674             
x3 = -- + 2*3 /   ---- + -------------  + -----------------------------
     3      \/     27          9                 ______________________
                                                /            _________ 
                                               /  4598   I*\/ 1903461  
                                          9*3 /   ---- + ------------- 
                                            \/     27          9

x_{3} = \frac{52}{3} + \frac{674}{9 \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}} + 2 \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}

x3 = 52/3 + 674/(9*(4598/27 + sqrt(1903461)*i/9)^(1/3)) + 2*(4598/27 + sqrt(1903461)*i/9)^(1/3)

Suma y producto de raíces [src]

suma

           /                     1                     \     /      /                     1                     \                                                                       \                                                                                     /                     1                     \     /      /                     1                     \                                                                       \                                                                                                                                            
     674*re|-------------------------------------------|     |674*im|-------------------------------------------|              /    /    _________\\               /    /    _________\\|              /    /    _________\\               /    /    _________\\        674*re|-------------------------------------------|     |674*im|-------------------------------------------|              /    /    _________\\               /    /    _________\\|              /    /    _________\\               /    /    _________\\                                                                     
           |                     ______________________|     |      |                     ______________________|              |    |3*\/ 1903461 ||               |    |3*\/ 1903461 |||              |    |3*\/ 1903461 ||               |    |3*\/ 1903461 ||              |                     ______________________|     |      |                     ______________________|              |    |3*\/ 1903461 ||               |    |3*\/ 1903461 |||              |    |3*\/ 1903461 ||               |    |3*\/ 1903461 ||                                                                     
           |/          ___\     /            _________ |     |      |/          ___\     /            _________ |              |atan|-------------||               |atan|-------------|||              |atan|-------------||               |atan|-------------||              |/          ___\     /            _________ |     |      |/          ___\     /            _________ |              |atan|-------------||               |atan|-------------|||              |atan|-------------||               |atan|-------------||                                                                     
           ||  1   I*\/ 3 |    /  4598   I*\/ 1903461  |     |      ||  1   I*\/ 3 |    /  4598   I*\/ 1903461  |     _____    |    \     4598    /|     ______    |    \     4598    /||     _____    |    \     4598    /|     ______    |    \     4598    /|              ||  1   I*\/ 3 |    /  4598   I*\/ 1903461  |     |      ||  1   I*\/ 3 |    /  4598   I*\/ 1903461  |     _____    |    \     4598    /|     ______    |    \     4598    /||     _____    |    \     4598    /|     ______    |    \     4598    /|               ______________________                                
           ||- - - -------|*3 /   ---- + ------------- |     |      ||- - - -------|*3 /   ---- + ------------- |   \/ 337 *sin|-------------------|   \/ 1011 *cos|-------------------||   \/ 337 *cos|-------------------|   \/ 1011 *sin|-------------------|              ||- - + -------|*3 /   ---- + ------------- |     |      ||- - + -------|*3 /   ---- + ------------- |   \/ 337 *sin|-------------------|   \/ 1011 *cos|-------------------||   \/ 337 *cos|-------------------|   \/ 1011 *sin|-------------------|              /            _________                                 
52         \\  2      2   / \/     27          9       /     |      \\  2      2   / \/     27          9       /              \         3         /               \         3         /|              \         3         /               \         3         /   52         \\  2      2   / \/     27          9       /     |      \\  2      2   / \/     27          9       /              \         3         /               \         3         /|              \         3         /               \         3         /   52        /  4598   I*\/ 1903461                  674             
-- + --------------------------------------------------- + I*|--------------------------------------------------- - -------------------------------- - ---------------------------------| - -------------------------------- + --------------------------------- + -- + --------------------------------------------------- + I*|--------------------------------------------------- - -------------------------------- + ---------------------------------| - -------------------------------- - --------------------------------- + -- + 2*3 /   ---- + -------------  + -----------------------------
3                             9                              \                         9                                           3                                   3                /                  3                                   3                   3                             9                              \                         9                                           3                                   3                /                  3                                   3                   3      \/     27          9                 ______________________
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 /            _________ 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                /  4598   I*\/ 1903461  
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           9*3 /   ---- + ------------- 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             \/     27          9

\left(\left(- \frac{\sqrt{337} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} + \frac{674 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}}\right)}}{9} + \frac{\sqrt{1011} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} + \frac{52}{3} + i \left(- \frac{\sqrt{1011} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} - \frac{\sqrt{337} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} + \frac{674 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}}\right)}}{9}\right)\right) + \left(\frac{674 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}}\right)}}{9} - \frac{\sqrt{337} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} - \frac{\sqrt{1011} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} + \frac{52}{3} + i \left(\frac{674 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}}\right)}}{9} - \frac{\sqrt{337} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} + \frac{\sqrt{1011} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3}\right)\right)\right) + \left(\frac{52}{3} + \frac{674}{9 \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}} + 2 \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}\right)

                                                                           /                     1                     \         /                     1                     \     /      /                     1                     \                                                                       \     /      /                     1                     \                                                                       \                                     
                                                                     674*re|-------------------------------------------|   674*re|-------------------------------------------|     |674*im|-------------------------------------------|              /    /    _________\\               /    /    _________\\|     |674*im|-------------------------------------------|              /    /    _________\\               /    /    _________\\|                /    /    _________\\
                                                                           |                     ______________________|         |                     ______________________|     |      |                     ______________________|              |    |3*\/ 1903461 ||               |    |3*\/ 1903461 |||     |      |                     ______________________|              |    |3*\/ 1903461 ||               |    |3*\/ 1903461 |||                |    |3*\/ 1903461 ||
                                                                           |/          ___\     /            _________ |         |/          ___\     /            _________ |     |      |/          ___\     /            _________ |              |atan|-------------||               |atan|-------------|||     |      |/          ___\     /            _________ |              |atan|-------------||               |atan|-------------|||                |atan|-------------||
            ______________________                                         ||  1   I*\/ 3 |    /  4598   I*\/ 1903461  |         ||  1   I*\/ 3 |    /  4598   I*\/ 1903461  |     |      ||  1   I*\/ 3 |    /  4598   I*\/ 1903461  |     _____    |    \     4598    /|     ______    |    \     4598    /||     |      ||  1   I*\/ 3 |    /  4598   I*\/ 1903461  |     _____    |    \     4598    /|     ______    |    \     4598    /||       _____    |    \     4598    /|
           /            _________                                          ||- - + -------|*3 /   ---- + ------------- |         ||- - - -------|*3 /   ---- + ------------- |     |      ||- - + -------|*3 /   ---- + ------------- |   \/ 337 *sin|-------------------|   \/ 1011 *cos|-------------------||     |      ||- - - -------|*3 /   ---- + ------------- |   \/ 337 *sin|-------------------|   \/ 1011 *cos|-------------------||   2*\/ 337 *cos|-------------------|
          /  4598   I*\/ 1903461                  674                      \\  2      2   / \/     27          9       /         \\  2      2   / \/     27          9       /     |      \\  2      2   / \/     27          9       /              \         3         /               \         3         /|     |      \\  2      2   / \/     27          9       /              \         3         /               \         3         /|                \         3         /
52 + 2*3 /   ---- + -------------  + ----------------------------- + --------------------------------------------------- + --------------------------------------------------- + I*|--------------------------------------------------- - -------------------------------- + ---------------------------------| + I*|--------------------------------------------------- - -------------------------------- - ---------------------------------| - ----------------------------------
       \/     27          9                 ______________________                            9                                                     9                              \                         9                                           3                                   3                /     \                         9                                           3                                   3                /                   3                 
                                           /            _________                                                                                                                                                                                                                                                                                                                                                                                                                    
                                          /  4598   I*\/ 1903461                                                                                                                                                                                                                                                                                                                                                                                                                     
                                     9*3 /   ---- + -------------                                                                                                                                                                                                                                                                                                                                                                                                                    
                                       \/     27          9

- \frac{2 \sqrt{337} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} + \frac{674 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}}\right)}}{9} + \frac{674 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}}\right)}}{9} + 52 + \frac{674}{9 \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}} + i \left(\frac{674 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}}\right)}}{9} - \frac{\sqrt{337} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} + \frac{\sqrt{1011} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3}\right) + i \left(- \frac{\sqrt{1011} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} - \frac{\sqrt{337} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} + \frac{674 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}}\right)}}{9}\right) + 2 \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}

producto

/           /                     1                     \     /      /                     1                     \                                                                       \                                                                       \ /           /                     1                     \     /      /                     1                     \                                                                       \                                                                       \                                                                     
|     674*re|-------------------------------------------|     |674*im|-------------------------------------------|              /    /    _________\\               /    /    _________\\|              /    /    _________\\               /    /    _________\\| |     674*re|-------------------------------------------|     |674*im|-------------------------------------------|              /    /    _________\\               /    /    _________\\|              /    /    _________\\               /    /    _________\\|                                                                     
|           |                     ______________________|     |      |                     ______________________|              |    |3*\/ 1903461 ||               |    |3*\/ 1903461 |||              |    |3*\/ 1903461 ||               |    |3*\/ 1903461 ||| |           |                     ______________________|     |      |                     ______________________|              |    |3*\/ 1903461 ||               |    |3*\/ 1903461 |||              |    |3*\/ 1903461 ||               |    |3*\/ 1903461 |||                                                                     
|           |/          ___\     /            _________ |     |      |/          ___\     /            _________ |              |atan|-------------||               |atan|-------------|||              |atan|-------------||               |atan|-------------||| |           |/          ___\     /            _________ |     |      |/          ___\     /            _________ |              |atan|-------------||               |atan|-------------|||              |atan|-------------||               |atan|-------------|||                                                                     
|           ||  1   I*\/ 3 |    /  4598   I*\/ 1903461  |     |      ||  1   I*\/ 3 |    /  4598   I*\/ 1903461  |     _____    |    \     4598    /|     ______    |    \     4598    /||     _____    |    \     4598    /|     ______    |    \     4598    /|| |           ||  1   I*\/ 3 |    /  4598   I*\/ 1903461  |     |      ||  1   I*\/ 3 |    /  4598   I*\/ 1903461  |     _____    |    \     4598    /|     ______    |    \     4598    /||     _____    |    \     4598    /|     ______    |    \     4598    /|| /            ______________________                                \
|           ||- - - -------|*3 /   ---- + ------------- |     |      ||- - - -------|*3 /   ---- + ------------- |   \/ 337 *sin|-------------------|   \/ 1011 *cos|-------------------||   \/ 337 *cos|-------------------|   \/ 1011 *sin|-------------------|| |           ||- - + -------|*3 /   ---- + ------------- |     |      ||- - + -------|*3 /   ---- + ------------- |   \/ 337 *sin|-------------------|   \/ 1011 *cos|-------------------||   \/ 337 *cos|-------------------|   \/ 1011 *sin|-------------------|| |           /            _________                                 |
|52         \\  2      2   / \/     27          9       /     |      \\  2      2   / \/     27          9       /              \         3         /               \         3         /|              \         3         /               \         3         /| |52         \\  2      2   / \/     27          9       /     |      \\  2      2   / \/     27          9       /              \         3         /               \         3         /|              \         3         /               \         3         /| |52        /  4598   I*\/ 1903461                  674             |
|-- + --------------------------------------------------- + I*|--------------------------------------------------- - -------------------------------- - ---------------------------------| - -------------------------------- + ---------------------------------|*|-- + --------------------------------------------------- + I*|--------------------------------------------------- - -------------------------------- + ---------------------------------| - -------------------------------- - ---------------------------------|*|-- + 2*3 /   ---- + -------------  + -----------------------------|
\3                             9                              \                         9                                           3                                   3                /                  3                                   3                / \3                             9                              \                         9                                           3                                   3                /                  3                                   3                / |3      \/     27          9                 ______________________|
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      |                                           /            _________ |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      |                                          /  4598   I*\/ 1903461  |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      |                                     9*3 /   ---- + ------------- |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \                                       \/     27          9       /

\left(- \frac{\sqrt{337} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} + \frac{674 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}}\right)}}{9} + \frac{\sqrt{1011} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} + \frac{52}{3} + i \left(- \frac{\sqrt{1011} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} - \frac{\sqrt{337} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} + \frac{674 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}}\right)}}{9}\right)\right) \left(\frac{674 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}}\right)}}{9} - \frac{\sqrt{337} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} - \frac{\sqrt{1011} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} + \frac{52}{3} + i \left(\frac{674 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}}\right)}}{9} - \frac{\sqrt{337} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3} + \frac{\sqrt{1011} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}}{3}\right)\right) \left(\frac{52}{3} + \frac{674}{9 \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}} + 2 \sqrt[3]{\frac{4598}{27} + \frac{\sqrt{1903461} i}{9}}\right)

                                                                         /             /      /    _________\\                 /    /    _________\\\
                                                                         |             |      |3*\/ 1903461 ||                 |    |3*\/ 1903461 |||
  /         ________________________ /        ________________________\\ |             |2*atan|-------------||                 |atan|-------------|||
  |      3 /              _________  |     3 /              _________ || |             |      \     4598    /|        _____    |    \     4598    /||
8*\337 + \/  4598 + 3*I*\/ 1903461  *\26 + \/  4598 + 3*I*\/ 1903461  //*|339 + 674*cos|---------------------| - 52*\/ 337 *cos|-------------------||
                                                                         \             \          3          /                 \         3         //
-----------------------------------------------------------------------------------------------------------------------------------------------------
                                                                  ________________________                                                           
                                                               3 /              _________                                                            
                                                            27*\/  4598 + 3*I*\/ 1903461

\frac{8 \left(337 + \left(26 + \sqrt[3]{4598 + 3 \sqrt{1903461} i}\right) \sqrt[3]{4598 + 3 \sqrt{1903461} i}\right) \left(- 52 \sqrt{337} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)} + 339 + 674 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{3 \sqrt{1903461}}{4598} \right)}}{3} \right)}\right)}{27 \sqrt[3]{4598 + 3 \sqrt{1903461} i}}

8*(337 + (4598 + 3*i*sqrt(1903461))^(1/3)*(26 + (4598 + 3*i*sqrt(1903461))^(1/3)))*(339 + 674*cos(2*atan(3*sqrt(1903461)/4598)/3) - 52*sqrt(337)*cos(atan(3*sqrt(1903461)/4598)/3))/(27*(4598 + 3*i*sqrt(1903461))^(1/3))

Respuesta numérica [src]

x1 = 10.5856115634932 - 0.e-22*i

x2 = 0.331117031489712 + 0.e-22*i

x3 = 41.0832714050171 + 0.e-22*i

x3 = 41.0832714050171 + 0.e-22*i

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