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La ecuación:
Ecuación x/3/7=9/14
Ecuación x^2=2-x
Ecuación 25*x^2-1=0
Ecuación (x-2740)/20=360
Expresar {x} en función de y en la ecuación:
-14*x+15*y=19
-2*x-10*y=20
19*x-5*y=12
-2*x+1*y=-8
Expresiones idénticas
6 dos 5x^ cuatro + tres 6 cero 0x^3+7580x^2+6916x+ dos mil trescientos doce =0
625x en el grado 4 más 3600x al cubo más 7580x al cuadrado más 6916x más 2312 es igual a 0
6 dos 5x en el grado cuatro más tres 6 cero 0x al cubo más 7580x al cuadrado más 6916x más dos mil trescientos doce es igual a 0
625x4+3600x3+7580x2+6916x+2312=0
625x⁴+3600x³+7580x²+6916x+2312=0
625x en el grado 4+3600x en el grado 3+7580x en el grado 2+6916x+2312=0
625x^4+3600x^3+7580x^2+6916x+2312=O
Expresiones semejantes
625x^4-3600x^3+7580x^2+6916x+2312=0
625x^4+3600x^3+7580x^2+6916x-2312=0
625x^4+3600x^3-7580x^2+6916x+2312=0
625x^4+3600x^3+7580x^2-6916x+2312=0

625x^4+3600x^3+7580x^2+6916x+2312=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

     4         3         2                    
625*x  + 3600*x  + 7580*x  + 6916*x + 2312 = 0

\left(6916 x + \left(7580 x^{2} + \left(625 x^{4} + 3600 x^{3}\right)\right)\right) + 2312 = 0

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

x1 = -2

x_{1} = -2

                  /                     1                     \                                /        /                     1                     \                                                            \                                 
            196*re|-------------------------------------------|        /    /     ______\\     |  196*im|-------------------------------------------|        /    /     ______\\              /    /     ______\\|              /    /     ______\\
                  |                     ______________________|        |    |15*\/ 1455 ||     |        |                     ______________________|        |    |15*\/ 1455 ||              |    |15*\/ 1455 |||              |    |15*\/ 1455 ||
                  |/          ___\     /               ______ |        |atan|-----------||     |        |/          ___\     /               ______ |        |atan|-----------||              |atan|-----------|||              |atan|-----------||
                  ||  1   I*\/ 3 |    /   2494   6*I*\/ 1455  |        |    \    1247   /|     |        ||  1   I*\/ 3 |    /   2494   6*I*\/ 1455  |        |    \    1247   /|       ___    |    \    1247   /||       ___    |    \    1247   /|
                  ||- - - -------|*3 /   ----- + ------------ |   7*cos|-----------------|     |        ||- - - -------|*3 /   ----- + ------------ |   7*sin|-----------------|   7*\/ 3 *cos|-----------------||   7*\/ 3 *sin|-----------------|
       94         \\  2      2   / \/    15625       3125     /        \        3        /     |        \\  2      2   / \/    15625       3125     /        \        3        /              \        3        /|              \        3        /
x2 = - -- - --------------------------------------------------- + ------------------------ + I*|- --------------------------------------------------- + ------------------------ + ------------------------------| - ------------------------------
       75                           1875                                     75                \                          1875                                     75                            75              /                 75

x_{2} = - \frac{94}{75} - \frac{7 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{196 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + \frac{7 \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + i \left(- \frac{196 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + \frac{7 \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75}\right)

                  /                     1                     \                                /        /                     1                     \                                                            \                                 
            196*re|-------------------------------------------|        /    /     ______\\     |  196*im|-------------------------------------------|        /    /     ______\\              /    /     ______\\|              /    /     ______\\
                  |                     ______________________|        |    |15*\/ 1455 ||     |        |                     ______________________|        |    |15*\/ 1455 ||              |    |15*\/ 1455 |||              |    |15*\/ 1455 ||
                  |/          ___\     /               ______ |        |atan|-----------||     |        |/          ___\     /               ______ |        |atan|-----------||              |atan|-----------|||              |atan|-----------||
                  ||  1   I*\/ 3 |    /   2494   6*I*\/ 1455  |        |    \    1247   /|     |        ||  1   I*\/ 3 |    /   2494   6*I*\/ 1455  |        |    \    1247   /|       ___    |    \    1247   /||       ___    |    \    1247   /|
                  ||- - + -------|*3 /   ----- + ------------ |   7*cos|-----------------|     |        ||- - + -------|*3 /   ----- + ------------ |   7*sin|-----------------|   7*\/ 3 *cos|-----------------||   7*\/ 3 *sin|-----------------|
       94         \\  2      2   / \/    15625       3125     /        \        3        /     |        \\  2      2   / \/    15625       3125     /        \        3        /              \        3        /|              \        3        /
x3 = - -- - --------------------------------------------------- + ------------------------ + I*|- --------------------------------------------------- + ------------------------ - ------------------------------| + ------------------------------
       75                           1875                                     75                \                          1875                                     75                            75              /                 75

x_{3} = - \frac{94}{75} + \frac{7 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{196 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + i \left(- \frac{7 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{196 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875}\right)

                                                    ______________________
                                                   /               ______ 
                                                  /   2494   6*I*\/ 1455  
                                               3 /   ----- + ------------ 
       94                 196                  \/    15625       3125     
x4 = - -- - -------------------------------- - ---------------------------
       75             ______________________                3             
                     /               ______                               
                    /   2494   6*I*\/ 1455                                
            1875*3 /   ----- + ------------                               
                 \/    15625       3125

x_{4} = - \frac{94}{75} - \frac{\sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}{3} - \frac{196}{1875 \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}

x4 = -94/75 - (2494/15625 + 6*sqrt(1455)*i/3125)^(1/3)/3 - 196/(1875*(2494/15625 + 6*sqrt(1455)*i/3125)^(1/3))

Suma y producto de raíces [src]

suma

                  /                     1                     \                                /        /                     1                     \                                                            \                                                 /                     1                     \                                /        /                     1                     \                                                            \                                                                                                         
            196*re|-------------------------------------------|        /    /     ______\\     |  196*im|-------------------------------------------|        /    /     ______\\              /    /     ______\\|              /    /     ______\\          196*re|-------------------------------------------|        /    /     ______\\     |  196*im|-------------------------------------------|        /    /     ______\\              /    /     ______\\|              /    /     ______\\                                                                        
                  |                     ______________________|        |    |15*\/ 1455 ||     |        |                     ______________________|        |    |15*\/ 1455 ||              |    |15*\/ 1455 |||              |    |15*\/ 1455 ||                |                     ______________________|        |    |15*\/ 1455 ||     |        |                     ______________________|        |    |15*\/ 1455 ||              |    |15*\/ 1455 |||              |    |15*\/ 1455 ||                                                  ______________________
                  |/          ___\     /               ______ |        |atan|-----------||     |        |/          ___\     /               ______ |        |atan|-----------||              |atan|-----------|||              |atan|-----------||                |/          ___\     /               ______ |        |atan|-----------||     |        |/          ___\     /               ______ |        |atan|-----------||              |atan|-----------|||              |atan|-----------||                                                 /               ______ 
                  ||  1   I*\/ 3 |    /   2494   6*I*\/ 1455  |        |    \    1247   /|     |        ||  1   I*\/ 3 |    /   2494   6*I*\/ 1455  |        |    \    1247   /|       ___    |    \    1247   /||       ___    |    \    1247   /|                ||  1   I*\/ 3 |    /   2494   6*I*\/ 1455  |        |    \    1247   /|     |        ||  1   I*\/ 3 |    /   2494   6*I*\/ 1455  |        |    \    1247   /|       ___    |    \    1247   /||       ___    |    \    1247   /|                                                /   2494   6*I*\/ 1455  
                  ||- - - -------|*3 /   ----- + ------------ |   7*cos|-----------------|     |        ||- - - -------|*3 /   ----- + ------------ |   7*sin|-----------------|   7*\/ 3 *cos|-----------------||   7*\/ 3 *sin|-----------------|                ||- - + -------|*3 /   ----- + ------------ |   7*cos|-----------------|     |        ||- - + -------|*3 /   ----- + ------------ |   7*sin|-----------------|   7*\/ 3 *cos|-----------------||   7*\/ 3 *sin|-----------------|                                             3 /   ----- + ------------ 
       94         \\  2      2   / \/    15625       3125     /        \        3        /     |        \\  2      2   / \/    15625       3125     /        \        3        /              \        3        /|              \        3        /     94         \\  2      2   / \/    15625       3125     /        \        3        /     |        \\  2      2   / \/    15625       3125     /        \        3        /              \        3        /|              \        3        /     94                 196                  \/    15625       3125     
-2 + - -- - --------------------------------------------------- + ------------------------ + I*|- --------------------------------------------------- + ------------------------ + ------------------------------| - ------------------------------ + - -- - --------------------------------------------------- + ------------------------ + I*|- --------------------------------------------------- + ------------------------ - ------------------------------| + ------------------------------ + - -- - -------------------------------- - ---------------------------
       75                           1875                                     75                \                          1875                                     75                            75              /                 75                   75                           1875                                     75                \                          1875                                     75                            75              /                 75                   75             ______________________                3             
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       /               ______                               
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      /   2494   6*I*\/ 1455                                
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              1875*3 /   ----- + ------------                               
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   \/    15625       3125

\left(\left(- \frac{94}{75} + \frac{7 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{196 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + i \left(- \frac{7 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{196 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875}\right)\right) + \left(-2 + \left(- \frac{94}{75} - \frac{7 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{196 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + \frac{7 \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + i \left(- \frac{196 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + \frac{7 \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75}\right)\right)\right)\right) + \left(- \frac{94}{75} - \frac{\sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}{3} - \frac{196}{1875 \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)

                                                 /                     1                     \         /                     1                     \                                                               /        /                     1                     \                                                            \     /        /                     1                     \                                                            \
                                           196*re|-------------------------------------------|   196*re|-------------------------------------------|                                       /    /     ______\\     |  196*im|-------------------------------------------|        /    /     ______\\              /    /     ______\\|     |  196*im|-------------------------------------------|        /    /     ______\\              /    /     ______\\|
                                                 |                     ______________________|         |                     ______________________|        ______________________         |    |15*\/ 1455 ||     |        |                     ______________________|        |    |15*\/ 1455 ||              |    |15*\/ 1455 |||     |        |                     ______________________|        |    |15*\/ 1455 ||              |    |15*\/ 1455 |||
                                                 |/          ___\     /               ______ |         |/          ___\     /               ______ |       /               ______          |atan|-----------||     |        |/          ___\     /               ______ |        |atan|-----------||              |atan|-----------|||     |        |/          ___\     /               ______ |        |atan|-----------||              |atan|-----------|||
                                                 ||  1   I*\/ 3 |    /   2494   6*I*\/ 1455  |         ||  1   I*\/ 3 |    /   2494   6*I*\/ 1455  |      /   2494   6*I*\/ 1455           |    \    1247   /|     |        ||  1   I*\/ 3 |    /   2494   6*I*\/ 1455  |        |    \    1247   /|       ___    |    \    1247   /||     |        ||  1   I*\/ 3 |    /   2494   6*I*\/ 1455  |        |    \    1247   /|       ___    |    \    1247   /||
                                                 ||- - + -------|*3 /   ----- + ------------ |         ||- - - -------|*3 /   ----- + ------------ |   3 /   ----- + ------------    14*cos|-----------------|     |        ||- - + -------|*3 /   ----- + ------------ |   7*sin|-----------------|   7*\/ 3 *cos|-----------------||     |        ||- - - -------|*3 /   ----- + ------------ |   7*sin|-----------------|   7*\/ 3 *cos|-----------------||
  144                 196                        \\  2      2   / \/    15625       3125     /         \\  2      2   / \/    15625       3125     /   \/    15625       3125              \        3        /     |        \\  2      2   / \/    15625       3125     /        \        3        /              \        3        /|     |        \\  2      2   / \/    15625       3125     /        \        3        /              \        3        /|
- --- - -------------------------------- - --------------------------------------------------- - --------------------------------------------------- - --------------------------- + ------------------------- + I*|- --------------------------------------------------- + ------------------------ - ------------------------------| + I*|- --------------------------------------------------- + ------------------------ + ------------------------------|
   25             ______________________                           1875                                                  1875                                       3                            75                \                          1875                                     75                            75              /     \                          1875                                     75                            75              /
                 /               ______                                                                                                                                                                                                                                                                                                                                                                                                                       
                /   2494   6*I*\/ 1455                                                                                                                                                                                                                                                                                                                                                                                                                        
        1875*3 /   ----- + ------------                                                                                                                                                                                                                                                                                                                                                                                                                       
             \/    15625       3125

- \frac{144}{25} - \frac{196 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} - \frac{196 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + \frac{14 \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{\sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}{3} + i \left(- \frac{7 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{196 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875}\right) + i \left(- \frac{196 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + \frac{7 \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75}\right) - \frac{196}{1875 \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}

producto

   /             /                     1                     \                                /        /                     1                     \                                                            \                                 \ /             /                     1                     \                                /        /                     1                     \                                                            \                                 \                                                                        
   |       196*re|-------------------------------------------|        /    /     ______\\     |  196*im|-------------------------------------------|        /    /     ______\\              /    /     ______\\|              /    /     ______\\| |       196*re|-------------------------------------------|        /    /     ______\\     |  196*im|-------------------------------------------|        /    /     ______\\              /    /     ______\\|              /    /     ______\\|                                                                        
   |             |                     ______________________|        |    |15*\/ 1455 ||     |        |                     ______________________|        |    |15*\/ 1455 ||              |    |15*\/ 1455 |||              |    |15*\/ 1455 ||| |             |                     ______________________|        |    |15*\/ 1455 ||     |        |                     ______________________|        |    |15*\/ 1455 ||              |    |15*\/ 1455 |||              |    |15*\/ 1455 ||| /                                               ______________________\
   |             |/          ___\     /               ______ |        |atan|-----------||     |        |/          ___\     /               ______ |        |atan|-----------||              |atan|-----------|||              |atan|-----------||| |             |/          ___\     /               ______ |        |atan|-----------||     |        |/          ___\     /               ______ |        |atan|-----------||              |atan|-----------|||              |atan|-----------||| |                                              /               ______ |
   |             ||  1   I*\/ 3 |    /   2494   6*I*\/ 1455  |        |    \    1247   /|     |        ||  1   I*\/ 3 |    /   2494   6*I*\/ 1455  |        |    \    1247   /|       ___    |    \    1247   /||       ___    |    \    1247   /|| |             ||  1   I*\/ 3 |    /   2494   6*I*\/ 1455  |        |    \    1247   /|     |        ||  1   I*\/ 3 |    /   2494   6*I*\/ 1455  |        |    \    1247   /|       ___    |    \    1247   /||       ___    |    \    1247   /|| |                                             /   2494   6*I*\/ 1455  |
   |             ||- - - -------|*3 /   ----- + ------------ |   7*cos|-----------------|     |        ||- - - -------|*3 /   ----- + ------------ |   7*sin|-----------------|   7*\/ 3 *cos|-----------------||   7*\/ 3 *sin|-----------------|| |             ||- - + -------|*3 /   ----- + ------------ |   7*cos|-----------------|     |        ||- - + -------|*3 /   ----- + ------------ |   7*sin|-----------------|   7*\/ 3 *cos|-----------------||   7*\/ 3 *sin|-----------------|| |                                          3 /   ----- + ------------ |
   |  94         \\  2      2   / \/    15625       3125     /        \        3        /     |        \\  2      2   / \/    15625       3125     /        \        3        /              \        3        /|              \        3        /| |  94         \\  2      2   / \/    15625       3125     /        \        3        /     |        \\  2      2   / \/    15625       3125     /        \        3        /              \        3        /|              \        3        /| |  94                 196                  \/    15625       3125     |
-2*|- -- - --------------------------------------------------- + ------------------------ + I*|- --------------------------------------------------- + ------------------------ + ------------------------------| - ------------------------------|*|- -- - --------------------------------------------------- + ------------------------ + I*|- --------------------------------------------------- + ------------------------ - ------------------------------| + ------------------------------|*|- -- - -------------------------------- - ---------------------------|
   \  75                           1875                                     75                \                          1875                                     75                            75              /                 75              / \  75                           1875                                     75                \                          1875                                     75                            75              /                 75              / |  75             ______________________                3             |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     |                /               ______                               |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     |               /   2494   6*I*\/ 1455                                |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     |       1875*3 /   ----- + ------------                               |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     \            \/    15625       3125                                   /

- 2 \left(- \frac{94}{75} - \frac{7 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{196 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + \frac{7 \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + i \left(- \frac{196 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + \frac{7 \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75}\right)\right) \left(- \frac{94}{75} + \frac{7 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{196 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875} + i \left(- \frac{7 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} + \frac{7 \sin{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)}}{75} - \frac{196 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)}}{1875}\right)\right) \left(- \frac{94}{75} - \frac{\sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}{3} - \frac{196}{1875 \sqrt[3]{\frac{2494}{15625} + \frac{6 \sqrt{1455} i}{3125}}}\right)

                                                                        /               /    /     ______\\          /      /     ______\\\
                                                                        |               |    |15*\/ 1455 ||          |      |15*\/ 1455 |||
     /         ______________________ /        ______________________\\ |               |atan|-----------||          |2*atan|-----------|||
 2/3 |      3 /               ______  |     3 /               ______ || |               |    \    1247   /|          |      \    1247   /||
2   *\196 + \/  2494 + 30*I*\/ 1455  *\94 + \/  2494 + 30*I*\/ 1455  //*|8640 - 2632*cos|-----------------| + 392*cos|-------------------||
                                                                        \               \        3        /          \         3         //
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                                                      421875*\/  1247 + 15*I*\/ 1455

\frac{2^{\frac{2}{3}} \left(196 + \left(94 + \sqrt[3]{2494 + 30 \sqrt{1455} i}\right) \sqrt[3]{2494 + 30 \sqrt{1455} i}\right) \left(- 2632 \cos{\left(\frac{\operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)} + 392 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{15 \sqrt{1455}}{1247} \right)}}{3} \right)} + 8640\right)}{421875 \sqrt[3]{1247 + 15 \sqrt{1455} i}}

2^(2/3)*(196 + (2494 + 30*i*sqrt(1455))^(1/3)*(94 + (2494 + 30*i*sqrt(1455))^(1/3)))*(8640 - 2632*cos(atan(15*sqrt(1455)/1247)/3) + 392*cos(2*atan(15*sqrt(1455)/1247)/3))/(421875*(1247 + 15*i*sqrt(1455))^(1/3))

Respuesta numérica [src]

x1 = -1.02238013695128

x2 = -1.11478473760844

x3 = -2.0

x4 = -1.62283512544027

x4 = -1.62283512544027

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