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La ecuación:
Ecuación 3*x^2-x+2=0
Ecuación x^2=-74
Ecuación z^2+z+1=0
Ecuación 90+x-4*10=60
Expresar {x} en función de y en la ecuación:
9*x+14*y=-10
-4*x-8*y=-20
-12*x-10*y=-16
10*x-15*y=16
Suma de la serie:
4/5
Límite de la función:
4/5
Expresiones idénticas
x- cuatro /x- tres + seis /x^ dos = cuatro / cinco
x menos 4 dividir por x menos 3 más 6 dividir por x al cuadrado es igual a 4 dividir por 5
x menos cuatro dividir por x menos tres más seis dividir por x en el grado dos es igual a cuatro dividir por cinco
x-4/x-3+6/x2=4/5
x-4/x-3+6/x²=4/5
x-4/x-3+6/x en el grado 2=4/5
x-4 dividir por x-3+6 dividir por x^2=4 dividir por 5
Expresiones semejantes
x-4/x-3-6/x^2=4/5
2(3y+4)/5-(y-5)/2=5
x-4/x+3+6/x^2=4/5
(x+4)/5-x/3=7
x+4/x-3+6/x^2=4/5

x-4/x-3+6/x^2=4/5 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

    4       6       
x - - - 3 + -- = 4/5
    x        2      
            x

\left(\left(x - \frac{4}{x}\right) - 3\right) + \frac{6}{x^{2}} = \frac{4}{5}

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Suma y producto de raíces [src]

suma

           /                     1                     \     /      /                     1                     \                                                                         \                                                                                       /                     1                     \     /      /                     1                     \                                                                         \                                                                                                                                              
     661*re|-------------------------------------------|     |661*im|-------------------------------------------|              /    /     _________\\               /    /     _________\\|              /    /     _________\\               /    /     _________\\        661*re|-------------------------------------------|     |661*im|-------------------------------------------|              /    /     _________\\               /    /     _________\\|              /    /     _________\\               /    /     _________\\                                                                     
           |                     ______________________|     |      |                     ______________________|              |    |15*\/ 1159485 ||               |    |15*\/ 1159485 |||              |    |15*\/ 1159485 ||               |    |15*\/ 1159485 ||              |                     ______________________|     |      |                     ______________________|              |    |15*\/ 1159485 ||               |    |15*\/ 1159485 |||              |    |15*\/ 1159485 ||               |    |15*\/ 1159485 ||                                                                     
           |/          ___\     /            _________ |     |      |/          ___\     /            _________ |              |atan|--------------||               |atan|--------------|||              |atan|--------------||               |atan|--------------||              |/          ___\     /            _________ |     |      |/          ___\     /            _________ |              |atan|--------------||               |atan|--------------|||              |atan|--------------||               |atan|--------------||                                                                     
           ||  1   I*\/ 3 |    /  5284   I*\/ 1159485  |     |      ||  1   I*\/ 3 |    /  5284   I*\/ 1159485  |     _____    |    \     5284     /|     ______    |    \     5284     /||     _____    |    \     5284     /|     ______    |    \     5284     /|              ||  1   I*\/ 3 |    /  5284   I*\/ 1159485  |     |      ||  1   I*\/ 3 |    /  5284   I*\/ 1159485  |     _____    |    \     5284     /|     ______    |    \     5284     /||     _____    |    \     5284     /|     ______    |    \     5284     /|             ______________________                                  
           ||- - - -------|*3 /   ---- + ------------- |     |      ||- - - -------|*3 /   ---- + ------------- |   \/ 661 *sin|--------------------|   \/ 1983 *cos|--------------------||   \/ 661 *cos|--------------------|   \/ 1983 *sin|--------------------|              ||- - + -------|*3 /   ---- + ------------- |     |      ||- - + -------|*3 /   ---- + ------------- |   \/ 661 *sin|--------------------|   \/ 1983 *cos|--------------------||   \/ 661 *cos|--------------------|   \/ 1983 *sin|--------------------|            /            _________                                   
19         \\  2      2   / \/    3375        225      /     |      \\  2      2   / \/    3375        225      /              \         3          /               \         3          /|              \         3          /               \         3          /   19         \\  2      2   / \/    3375        225      /     |      \\  2      2   / \/    3375        225      /              \         3          /               \         3          /|              \         3          /               \         3          /   19      /  5284   I*\/ 1159485                   661              
-- + --------------------------------------------------- + I*|--------------------------------------------------- - --------------------------------- - ----------------------------------| - --------------------------------- + ---------------------------------- + -- + --------------------------------------------------- + I*|--------------------------------------------------- - --------------------------------- + ----------------------------------| - --------------------------------- - ---------------------------------- + -- + 3 /   ---- + -------------  + -------------------------------
15                           225                             \                        225                                           30                                  30                /                   30                                  30                   15                           225                             \                        225                                           30                                  30                /                   30                                  30                   15   \/    3375        225                  ______________________
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         /            _________ 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        /  5284   I*\/ 1159485  
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 225*3 /   ---- + ------------- 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     \/    3375        225

\left(\frac{19}{15} + \frac{661}{225 \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}} + \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}\right) + \left(\left(- \frac{\sqrt{661} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{661 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} + \frac{\sqrt{1983} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{19}{15} + i \left(- \frac{\sqrt{1983} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} - \frac{\sqrt{661} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{661 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225}\right)\right) + \left(\frac{661 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} - \frac{\sqrt{661} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} - \frac{\sqrt{1983} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{19}{15} + i \left(\frac{661 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} - \frac{\sqrt{661} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{\sqrt{1983} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30}\right)\right)\right)

                                                                           /                     1                     \         /                     1                     \     /      /                     1                     \                                                                         \     /      /                     1                     \                                                                         \                                    
                                                                     661*re|-------------------------------------------|   661*re|-------------------------------------------|     |661*im|-------------------------------------------|              /    /     _________\\               /    /     _________\\|     |661*im|-------------------------------------------|              /    /     _________\\               /    /     _________\\|              /    /     _________\\
                                                                           |                     ______________________|         |                     ______________________|     |      |                     ______________________|              |    |15*\/ 1159485 ||               |    |15*\/ 1159485 |||     |      |                     ______________________|              |    |15*\/ 1159485 ||               |    |15*\/ 1159485 |||              |    |15*\/ 1159485 ||
                                                                           |/          ___\     /            _________ |         |/          ___\     /            _________ |     |      |/          ___\     /            _________ |              |atan|--------------||               |atan|--------------|||     |      |/          ___\     /            _________ |              |atan|--------------||               |atan|--------------|||              |atan|--------------||
          ______________________                                           ||  1   I*\/ 3 |    /  5284   I*\/ 1159485  |         ||  1   I*\/ 3 |    /  5284   I*\/ 1159485  |     |      ||  1   I*\/ 3 |    /  5284   I*\/ 1159485  |     _____    |    \     5284     /|     ______    |    \     5284     /||     |      ||  1   I*\/ 3 |    /  5284   I*\/ 1159485  |     _____    |    \     5284     /|     ______    |    \     5284     /||     _____    |    \     5284     /|
         /            _________                                            ||- - + -------|*3 /   ---- + ------------- |         ||- - - -------|*3 /   ---- + ------------- |     |      ||- - + -------|*3 /   ---- + ------------- |   \/ 661 *sin|--------------------|   \/ 1983 *cos|--------------------||     |      ||- - - -------|*3 /   ---- + ------------- |   \/ 661 *sin|--------------------|   \/ 1983 *cos|--------------------||   \/ 661 *cos|--------------------|
19      /  5284   I*\/ 1159485                   661                       \\  2      2   / \/    3375        225      /         \\  2      2   / \/    3375        225      /     |      \\  2      2   / \/    3375        225      /              \         3          /               \         3          /|     |      \\  2      2   / \/    3375        225      /              \         3          /               \         3          /|              \         3          /
-- + 3 /   ---- + -------------  + ------------------------------- + --------------------------------------------------- + --------------------------------------------------- + I*|--------------------------------------------------- - --------------------------------- + ----------------------------------| + I*|--------------------------------------------------- - --------------------------------- - ----------------------------------| - ---------------------------------
5    \/    3375        225                  ______________________                           225                                                   225                             \                        225                                           30                                  30                /     \                        225                                           30                                  30                /                   15               
                                           /            _________                                                                                                                                                                                                                                                                                                                                                                                                                       
                                          /  5284   I*\/ 1159485                                                                                                                                                                                                                                                                                                                                                                                                                        
                                   225*3 /   ---- + -------------                                                                                                                                                                                                                                                                                                                                                                                                                       
                                       \/    3375        225

- \frac{\sqrt{661} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{15} + \frac{661 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} + \frac{661 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} + \frac{19}{5} + \frac{661}{225 \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}} + i \left(\frac{661 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} - \frac{\sqrt{661} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{\sqrt{1983} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30}\right) + i \left(- \frac{\sqrt{1983} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} - \frac{\sqrt{661} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{661 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225}\right) + \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}

producto

/           /                     1                     \     /      /                     1                     \                                                                         \                                                                         \ /           /                     1                     \     /      /                     1                     \                                                                         \                                                                         \                                                                     
|     661*re|-------------------------------------------|     |661*im|-------------------------------------------|              /    /     _________\\               /    /     _________\\|              /    /     _________\\               /    /     _________\\| |     661*re|-------------------------------------------|     |661*im|-------------------------------------------|              /    /     _________\\               /    /     _________\\|              /    /     _________\\               /    /     _________\\|                                                                     
|           |                     ______________________|     |      |                     ______________________|              |    |15*\/ 1159485 ||               |    |15*\/ 1159485 |||              |    |15*\/ 1159485 ||               |    |15*\/ 1159485 ||| |           |                     ______________________|     |      |                     ______________________|              |    |15*\/ 1159485 ||               |    |15*\/ 1159485 |||              |    |15*\/ 1159485 ||               |    |15*\/ 1159485 |||                                                                     
|           |/          ___\     /            _________ |     |      |/          ___\     /            _________ |              |atan|--------------||               |atan|--------------|||              |atan|--------------||               |atan|--------------||| |           |/          ___\     /            _________ |     |      |/          ___\     /            _________ |              |atan|--------------||               |atan|--------------|||              |atan|--------------||               |atan|--------------|||                                                                     
|           ||  1   I*\/ 3 |    /  5284   I*\/ 1159485  |     |      ||  1   I*\/ 3 |    /  5284   I*\/ 1159485  |     _____    |    \     5284     /|     ______    |    \     5284     /||     _____    |    \     5284     /|     ______    |    \     5284     /|| |           ||  1   I*\/ 3 |    /  5284   I*\/ 1159485  |     |      ||  1   I*\/ 3 |    /  5284   I*\/ 1159485  |     _____    |    \     5284     /|     ______    |    \     5284     /||     _____    |    \     5284     /|     ______    |    \     5284     /|| /          ______________________                                  \
|           ||- - - -------|*3 /   ---- + ------------- |     |      ||- - - -------|*3 /   ---- + ------------- |   \/ 661 *sin|--------------------|   \/ 1983 *cos|--------------------||   \/ 661 *cos|--------------------|   \/ 1983 *sin|--------------------|| |           ||- - + -------|*3 /   ---- + ------------- |     |      ||- - + -------|*3 /   ---- + ------------- |   \/ 661 *sin|--------------------|   \/ 1983 *cos|--------------------||   \/ 661 *cos|--------------------|   \/ 1983 *sin|--------------------|| |         /            _________                                   |
|19         \\  2      2   / \/    3375        225      /     |      \\  2      2   / \/    3375        225      /              \         3          /               \         3          /|              \         3          /               \         3          /| |19         \\  2      2   / \/    3375        225      /     |      \\  2      2   / \/    3375        225      /              \         3          /               \         3          /|              \         3          /               \         3          /| |19      /  5284   I*\/ 1159485                   661              |
|-- + --------------------------------------------------- + I*|--------------------------------------------------- - --------------------------------- - ----------------------------------| - --------------------------------- + ----------------------------------|*|-- + --------------------------------------------------- + I*|--------------------------------------------------- - --------------------------------- + ----------------------------------| - --------------------------------- - ----------------------------------|*|-- + 3 /   ---- + -------------  + -------------------------------|
\15                           225                             \                        225                                           30                                  30                /                   30                                  30                / \15                           225                             \                        225                                           30                                  30                /                   30                                  30                / |15   \/    3375        225                  ______________________|
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              |                                           /            _________ |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              |                                          /  5284   I*\/ 1159485  |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              |                                   225*3 /   ---- + ------------- |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \                                       \/    3375        225      /

\left(- \frac{\sqrt{661} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{661 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} + \frac{\sqrt{1983} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{19}{15} + i \left(- \frac{\sqrt{1983} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} - \frac{\sqrt{661} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{661 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225}\right)\right) \left(\frac{661 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} - \frac{\sqrt{661} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} - \frac{\sqrt{1983} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{19}{15} + i \left(\frac{661 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} - \frac{\sqrt{661} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{\sqrt{1983} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30}\right)\right) \left(\frac{19}{15} + \frac{661}{225 \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}} + \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}\right)

                                                                         /               /      /     _________\\                 /    /     _________\\\
                                                                         |               |      |15*\/ 1159485 ||                 |    |15*\/ 1159485 |||
/         _________________________ /        _________________________\\ |               |2*atan|--------------||                 |atan|--------------|||
|      3 /               _________  |     3 /               _________ || |               |      \     5284     /|        _____    |    \     5284     /||
\661 + \/  5284 + 15*I*\/ 1159485  *\19 + \/  5284 + 15*I*\/ 1159485  //*|-300 + 1322*cos|----------------------| - 38*\/ 661 *cos|--------------------||
                                                                         \               \          3           /                 \         3          //
---------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                    _________________________                                                            
                                                                 3 /               _________                                                             
                                                            3375*\/  5284 + 15*I*\/ 1159485

\frac{\left(661 + \left(19 + \sqrt[3]{5284 + 15 \sqrt{1159485} i}\right) \sqrt[3]{5284 + 15 \sqrt{1159485} i}\right) \left(- 38 \sqrt{661} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)} - 300 + 1322 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}\right)}{3375 \sqrt[3]{5284 + 15 \sqrt{1159485} i}}

(661 + (5284 + 15*i*sqrt(1159485))^(1/3)*(19 + (5284 + 15*i*sqrt(1159485))^(1/3)))*(-300 + 1322*cos(2*atan(15*sqrt(1159485)/5284)/3) - 38*sqrt(661)*cos(atan(15*sqrt(1159485)/5284)/3))/(3375*(5284 + 15*i*sqrt(1159485))^(1/3))

Respuesta rápida [src]

                /                     1                     \     /      /                     1                     \                                                                         \                                                                         
          661*re|-------------------------------------------|     |661*im|-------------------------------------------|              /    /     _________\\               /    /     _________\\|              /    /     _________\\               /    /     _________\\
                |                     ______________________|     |      |                     ______________________|              |    |15*\/ 1159485 ||               |    |15*\/ 1159485 |||              |    |15*\/ 1159485 ||               |    |15*\/ 1159485 ||
                |/          ___\     /            _________ |     |      |/          ___\     /            _________ |              |atan|--------------||               |atan|--------------|||              |atan|--------------||               |atan|--------------||
                ||  1   I*\/ 3 |    /  5284   I*\/ 1159485  |     |      ||  1   I*\/ 3 |    /  5284   I*\/ 1159485  |     _____    |    \     5284     /|     ______    |    \     5284     /||     _____    |    \     5284     /|     ______    |    \     5284     /|
                ||- - - -------|*3 /   ---- + ------------- |     |      ||- - - -------|*3 /   ---- + ------------- |   \/ 661 *sin|--------------------|   \/ 1983 *cos|--------------------||   \/ 661 *cos|--------------------|   \/ 1983 *sin|--------------------|
     19         \\  2      2   / \/    3375        225      /     |      \\  2      2   / \/    3375        225      /              \         3          /               \         3          /|              \         3          /               \         3          /
x1 = -- + --------------------------------------------------- + I*|--------------------------------------------------- - --------------------------------- - ----------------------------------| - --------------------------------- + ----------------------------------
     15                           225                             \                        225                                           30                                  30                /                   30                                  30

x_{1} = - \frac{\sqrt{661} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{661 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} + \frac{\sqrt{1983} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{19}{15} + i \left(- \frac{\sqrt{1983} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} - \frac{\sqrt{661} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{661 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225}\right)

                /                     1                     \     /      /                     1                     \                                                                         \                                                                         
          661*re|-------------------------------------------|     |661*im|-------------------------------------------|              /    /     _________\\               /    /     _________\\|              /    /     _________\\               /    /     _________\\
                |                     ______________________|     |      |                     ______________________|              |    |15*\/ 1159485 ||               |    |15*\/ 1159485 |||              |    |15*\/ 1159485 ||               |    |15*\/ 1159485 ||
                |/          ___\     /            _________ |     |      |/          ___\     /            _________ |              |atan|--------------||               |atan|--------------|||              |atan|--------------||               |atan|--------------||
                ||  1   I*\/ 3 |    /  5284   I*\/ 1159485  |     |      ||  1   I*\/ 3 |    /  5284   I*\/ 1159485  |     _____    |    \     5284     /|     ______    |    \     5284     /||     _____    |    \     5284     /|     ______    |    \     5284     /|
                ||- - + -------|*3 /   ---- + ------------- |     |      ||- - + -------|*3 /   ---- + ------------- |   \/ 661 *sin|--------------------|   \/ 1983 *cos|--------------------||   \/ 661 *cos|--------------------|   \/ 1983 *sin|--------------------|
     19         \\  2      2   / \/    3375        225      /     |      \\  2      2   / \/    3375        225      /              \         3          /               \         3          /|              \         3          /               \         3          /
x2 = -- + --------------------------------------------------- + I*|--------------------------------------------------- - --------------------------------- + ----------------------------------| - --------------------------------- - ----------------------------------
     15                           225                             \                        225                                           30                                  30                /                   30                                  30

x_{2} = \frac{661 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} - \frac{\sqrt{661} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} - \frac{\sqrt{1983} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{19}{15} + i \left(\frac{661 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}}\right)}}{225} - \frac{\sqrt{661} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30} + \frac{\sqrt{1983} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1159485}}{5284} \right)}}{3} \right)}}{30}\right)

               ______________________                                  
              /            _________                                   
     19      /  5284   I*\/ 1159485                   661              
x3 = -- + 3 /   ---- + -------------  + -------------------------------
     15   \/    3375        225                  ______________________
                                                /            _________ 
                                               /  5284   I*\/ 1159485  
                                        225*3 /   ---- + ------------- 
                                            \/    3375        225

x_{3} = \frac{19}{15} + \frac{661}{225 \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}} + \sqrt[3]{\frac{5284}{3375} + \frac{\sqrt{1159485} i}{225}}

x3 = 19/15 + 661/(225*(5284/3375 + sqrt(1159485)*i/225)^(1/3)) + (5284/3375 + sqrt(1159485)*i/225)^(1/3)

Respuesta numérica [src]

x1 = 0.906059433302906 + 0.e-20*i

x2 = -1.50528396565638 + 0.e-20*i

x3 = 4.39922453235347 - 0.e-20*i

x3 = 4.39922453235347 - 0.e-20*i

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x-4/x-3+6/x^2=4/5 la ecuación

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