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La ecuación:
Ecuación x-4/3+x+1/4=3
Ecuación 2x^2+13x=0
Ecuación -1,9ⅹ²=0
Ecuación x+x/2=12
Expresar {x} en función de y en la ecuación:
-13*x-12*y=-11
-13*x+13*y=-20
-10*x-18*y=14
17*x-3*y=3
Expresiones idénticas
-x^ tres - dos *x^ dos + treinta y dos *x+ diecinueve = cero
menos x al cubo menos 2 multiplicar por x al cuadrado más 32 multiplicar por x más 19 es igual a 0
menos x en el grado tres menos dos multiplicar por x en el grado dos más treinta y dos multiplicar por x más diecinueve es igual a cero
-x3-2*x2+32*x+19=0
-x³-2*x²+32*x+19=0
-x en el grado 3-2*x en el grado 2+32*x+19=0
-x^3-2x^2+32x+19=0
-x3-2x2+32x+19=0
-x^3-2*x^2+32*x+19=O
Expresiones semejantes
-x^3-2*x^2+32*x-19=0
x^3-2*x^2+32*x+19=0
-x^3+2*x^2+32*x+19=0
-x^3-2*x^2-32*x+19=0

-x^3-2x^2+32x+19=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

   3      2                
- x  - 2*x  + 32*x + 19 = 0

\left(32 x + \left(- x^{3} - 2 x^{2}\right)\right) + 19 = 0

Simplificar

Teorema de Cardano-Vieta

reescribamos la ecuación

\left(32 x + \left(- x^{3} - 2 x^{2}\right)\right) + 19 = 0

a x^{3} + b x^{2} + c x + d = 0

como ecuación cúbica reducida

x^{3} + \frac{b x^{2}}{a} + \frac{c x}{a} + \frac{d}{a} = 0

x^{3} + 2 x^{2} - 32 x - 19 = 0

p x^{2} + q x + v + x^{3} = 0

donde

p = \frac{b}{a}

p = 2

q = \frac{c}{a}

q = -32

v = \frac{d}{a}

v = -19

Fórmulas de Cardano-Vieta

x_{1} + x_{2} + x_{3} = - p

x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = q

x_{1} x_{2} x_{3} = v

x_{1} + x_{2} + x_{3} = -2

x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = -32

x_{1} x_{2} x_{3} = -19

Suma y producto de raíces [src]

suma

            /                    1                     \                                 /        /                    1                     \                                                              \                                                 /                    1                     \                                 /        /                    1                     \                                                              \                                                                                                    
      100*re|------------------------------------------|        /    /    ________\\     |  100*im|------------------------------------------|        /    /    ________\\              /    /    ________\\|              /    /    ________\\         100*re|------------------------------------------|        /    /    ________\\     |  100*im|------------------------------------------|        /    /    ________\\              /    /    ________\\|              /    /    ________\\                                                                  
            |                     _____________________|        |    |3*\/ 443751 ||     |        |                     _____________________|        |    |3*\/ 443751 ||              |    |3*\/ 443751 |||              |    |3*\/ 443751 ||               |                     _____________________|        |    |3*\/ 443751 ||     |        |                     _____________________|        |    |3*\/ 443751 ||              |    |3*\/ 443751 |||              |    |3*\/ 443751 ||                                             _____________________
            |/          ___\     /            ________ |        |atan|------------||     |        |/          ___\     /            ________ |        |atan|------------||              |atan|------------|||              |atan|------------||               |/          ___\     /            ________ |        |atan|------------||     |        |/          ___\     /            ________ |        |atan|------------||              |atan|------------|||              |atan|------------||                                            /            ________ 
            ||  1   I*\/ 3 |    /  79   3*I*\/ 443751  |        |    \     79     /|     |        ||  1   I*\/ 3 |    /  79   3*I*\/ 443751  |        |    \     79     /|       ___    |    \     79     /||       ___    |    \     79     /|               ||  1   I*\/ 3 |    /  79   3*I*\/ 443751  |        |    \     79     /|     |        ||  1   I*\/ 3 |    /  79   3*I*\/ 443751  |        |    \     79     /|       ___    |    \     79     /||       ___    |    \     79     /|                                           /  79   3*I*\/ 443751  
            ||- - - -------|*3 /   -- + -------------- |   5*cos|------------------|     |        ||- - - -------|*3 /   -- + -------------- |   5*sin|------------------|   5*\/ 3 *cos|------------------||   5*\/ 3 *sin|------------------|               ||- - + -------|*3 /   -- + -------------- |   5*cos|------------------|     |        ||- - + -------|*3 /   -- + -------------- |   5*sin|------------------|   5*\/ 3 *cos|------------------||   5*\/ 3 *sin|------------------|                                        3 /   -- + -------------- 
  2         \\  2      2   / \/    2          2        /        \        3         /     |        \\  2      2   / \/    2          2        /        \        3         /              \        3         /|              \        3         /     2         \\  2      2   / \/    2          2        /        \        3         /     |        \\  2      2   / \/    2          2        /        \        3         /              \        3         /|              \        3         /     2               100                \/    2          2        
- - - -------------------------------------------------- + ------------------------- + I*|- -------------------------------------------------- + ------------------------- + -------------------------------| - ------------------------------- + - - - -------------------------------------------------- + ------------------------- + I*|- -------------------------------------------------- + ------------------------- - -------------------------------| + ------------------------------- + - - - ---------------------------- - --------------------------
  3                           3                                        3                 \                          3                                        3                              3               /                  3                    3                           3                                        3                 \                          3                                        3                              3               /                  3                    3          _____________________               3             
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                /            ________                              
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               /  79   3*I*\/ 443751                               
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          3*3 /   -- + --------------                              
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            \/    2          2

\left(\left(- \frac{2}{3} + \frac{5 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} + \frac{5 \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} - \frac{100 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}\right)}}{3} + i \left(- \frac{5 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} + \frac{5 \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} - \frac{100 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}\right)}}{3}\right)\right) + \left(- \frac{5 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} - \frac{2}{3} - \frac{100 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}\right)}}{3} + \frac{5 \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} + i \left(- \frac{100 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}\right)}}{3} + \frac{5 \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} + \frac{5 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3}\right)\right)\right) + \left(- \frac{2}{3} - \frac{\sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}{3} - \frac{100}{3 \sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}\right)

                                          /                    1                     \         /                    1                     \                                                               /        /                    1                     \                                                              \     /        /                    1                     \                                                              \
                                    100*re|------------------------------------------|   100*re|------------------------------------------|                                      /    /    ________\\     |  100*im|------------------------------------------|        /    /    ________\\              /    /    ________\\|     |  100*im|------------------------------------------|        /    /    ________\\              /    /    ________\\|
                                          |                     _____________________|         |                     _____________________|        _____________________         |    |3*\/ 443751 ||     |        |                     _____________________|        |    |3*\/ 443751 ||              |    |3*\/ 443751 |||     |        |                     _____________________|        |    |3*\/ 443751 ||              |    |3*\/ 443751 |||
                                          |/          ___\     /            ________ |         |/          ___\     /            ________ |       /            ________          |atan|------------||     |        |/          ___\     /            ________ |        |atan|------------||              |atan|------------|||     |        |/          ___\     /            ________ |        |atan|------------||              |atan|------------|||
                                          ||  1   I*\/ 3 |    /  79   3*I*\/ 443751  |         ||  1   I*\/ 3 |    /  79   3*I*\/ 443751  |      /  79   3*I*\/ 443751           |    \     79     /|     |        ||  1   I*\/ 3 |    /  79   3*I*\/ 443751  |        |    \     79     /|       ___    |    \     79     /||     |        ||  1   I*\/ 3 |    /  79   3*I*\/ 443751  |        |    \     79     /|       ___    |    \     79     /||
                                          ||- - + -------|*3 /   -- + -------------- |         ||- - - -------|*3 /   -- + -------------- |   3 /   -- + --------------    10*cos|------------------|     |        ||- - + -------|*3 /   -- + -------------- |   5*sin|------------------|   5*\/ 3 *cos|------------------||     |        ||- - - -------|*3 /   -- + -------------- |   5*sin|------------------|   5*\/ 3 *cos|------------------||
                 100                      \\  2      2   / \/    2          2        /         \\  2      2   / \/    2          2        /   \/    2          2                 \        3         /     |        \\  2      2   / \/    2          2        /        \        3         /              \        3         /|     |        \\  2      2   / \/    2          2        /        \        3         /              \        3         /|
-2 - ---------------------------- - -------------------------------------------------- - -------------------------------------------------- - -------------------------- + -------------------------- + I*|- -------------------------------------------------- + ------------------------- - -------------------------------| + I*|- -------------------------------------------------- + ------------------------- + -------------------------------|
            _____________________                           3                                                    3                                        3                            3                  \                          3                                        3                              3               /     \                          3                                        3                              3               /
           /            ________                                                                                                                                                                                                                                                                                                                                                                                                                       
          /  79   3*I*\/ 443751                                                                                                                                                                                                                                                                                                                                                                                                                        
     3*3 /   -- + --------------                                                                                                                                                                                                                                                                                                                                                                                                                       
       \/    2          2

-2 - \frac{100 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}\right)}}{3} - \frac{100 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}\right)}}{3} + \frac{10 \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} - \frac{\sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}{3} + i \left(- \frac{5 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} + \frac{5 \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} - \frac{100 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}\right)}}{3}\right) + i \left(- \frac{100 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}\right)}}{3} + \frac{5 \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} + \frac{5 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3}\right) - \frac{100}{3 \sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}

producto

/            /                    1                     \                                 /        /                    1                     \                                                              \                                  \ /            /                    1                     \                                 /        /                    1                     \                                                              \                                  \                                                                  
|      100*re|------------------------------------------|        /    /    ________\\     |  100*im|------------------------------------------|        /    /    ________\\              /    /    ________\\|              /    /    ________\\| |      100*re|------------------------------------------|        /    /    ________\\     |  100*im|------------------------------------------|        /    /    ________\\              /    /    ________\\|              /    /    ________\\|                                                                  
|            |                     _____________________|        |    |3*\/ 443751 ||     |        |                     _____________________|        |    |3*\/ 443751 ||              |    |3*\/ 443751 |||              |    |3*\/ 443751 ||| |            |                     _____________________|        |    |3*\/ 443751 ||     |        |                     _____________________|        |    |3*\/ 443751 ||              |    |3*\/ 443751 |||              |    |3*\/ 443751 ||| /                                          _____________________\
|            |/          ___\     /            ________ |        |atan|------------||     |        |/          ___\     /            ________ |        |atan|------------||              |atan|------------|||              |atan|------------||| |            |/          ___\     /            ________ |        |atan|------------||     |        |/          ___\     /            ________ |        |atan|------------||              |atan|------------|||              |atan|------------||| |                                         /            ________ |
|            ||  1   I*\/ 3 |    /  79   3*I*\/ 443751  |        |    \     79     /|     |        ||  1   I*\/ 3 |    /  79   3*I*\/ 443751  |        |    \     79     /|       ___    |    \     79     /||       ___    |    \     79     /|| |            ||  1   I*\/ 3 |    /  79   3*I*\/ 443751  |        |    \     79     /|     |        ||  1   I*\/ 3 |    /  79   3*I*\/ 443751  |        |    \     79     /|       ___    |    \     79     /||       ___    |    \     79     /|| |                                        /  79   3*I*\/ 443751  |
|            ||- - - -------|*3 /   -- + -------------- |   5*cos|------------------|     |        ||- - - -------|*3 /   -- + -------------- |   5*sin|------------------|   5*\/ 3 *cos|------------------||   5*\/ 3 *sin|------------------|| |            ||- - + -------|*3 /   -- + -------------- |   5*cos|------------------|     |        ||- - + -------|*3 /   -- + -------------- |   5*sin|------------------|   5*\/ 3 *cos|------------------||   5*\/ 3 *sin|------------------|| |                                     3 /   -- + -------------- |
|  2         \\  2      2   / \/    2          2        /        \        3         /     |        \\  2      2   / \/    2          2        /        \        3         /              \        3         /|              \        3         /| |  2         \\  2      2   / \/    2          2        /        \        3         /     |        \\  2      2   / \/    2          2        /        \        3         /              \        3         /|              \        3         /| |  2               100                \/    2          2        |
|- - - -------------------------------------------------- + ------------------------- + I*|- -------------------------------------------------- + ------------------------- + -------------------------------| - -------------------------------|*|- - - -------------------------------------------------- + ------------------------- + I*|- -------------------------------------------------- + ------------------------- - -------------------------------| + -------------------------------|*|- - - ---------------------------- - --------------------------|
\  3                           3                                        3                 \                          3                                        3                              3               /                  3               / \  3                           3                                        3                 \                          3                                        3                              3               /                  3               / |  3          _____________________               3             |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    |            /            ________                              |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    |           /  79   3*I*\/ 443751                               |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    |      3*3 /   -- + --------------                              |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \        \/    2          2                                     /

\left(- \frac{2}{3} + \frac{5 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} + \frac{5 \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} - \frac{100 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}\right)}}{3} + i \left(- \frac{5 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} + \frac{5 \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} - \frac{100 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}\right)}}{3}\right)\right) \left(- \frac{5 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} - \frac{2}{3} - \frac{100 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}\right)}}{3} + \frac{5 \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} + i \left(- \frac{100 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}\right)}}{3} + \frac{5 \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} + \frac{5 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3}\right)\right) \left(- \frac{2}{3} - \frac{\sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}{3} - \frac{100}{3 \sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}\right)

                                                                           /            /      /    ________\\         /    /    ________\\\
                                                                           |            |      |3*\/ 443751 ||         |    |3*\/ 443751 |||
/               _____________________ /            _____________________\\ |            |2*atan|------------||         |atan|------------|||
|    3 ___   3 /            ________  |     2/3 3 /            ________ || |            |      \     79     /|         |    \     79     /||
\200*\/ 2  + \/  79 + 3*I*\/ 443751  *\4 + 2   *\/  79 + 3*I*\/ 443751  //*|96 - 200*cos|--------------------| + 40*cos|------------------||
                                                                           \            \         3          /         \        3         //
--------------------------------------------------------------------------------------------------------------------------------------------
                                                              _____________________                                                         
                                                           3 /            ________                                                          
                                                        54*\/  79 + 3*I*\/ 443751

\frac{\left(200 \sqrt[3]{2} + \left(4 + 2^{\frac{2}{3}} \sqrt[3]{79 + 3 \sqrt{443751} i}\right) \sqrt[3]{79 + 3 \sqrt{443751} i}\right) \left(- 200 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)} + 40 \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)} + 96\right)}{54 \sqrt[3]{79 + 3 \sqrt{443751} i}}

(200*2^(1/3) + (79 + 3*i*sqrt(443751))^(1/3)*(4 + 2^(2/3)*(79 + 3*i*sqrt(443751))^(1/3)))*(96 - 200*cos(2*atan(3*sqrt(443751)/79)/3) + 40*cos(atan(3*sqrt(443751)/79)/3))/(54*(79 + 3*i*sqrt(443751))^(1/3))

Respuesta rápida [src]

                 /                    1                     \                                 /        /                    1                     \                                                              \                                  
           100*re|------------------------------------------|        /    /    ________\\     |  100*im|------------------------------------------|        /    /    ________\\              /    /    ________\\|              /    /    ________\\
                 |                     _____________________|        |    |3*\/ 443751 ||     |        |                     _____________________|        |    |3*\/ 443751 ||              |    |3*\/ 443751 |||              |    |3*\/ 443751 ||
                 |/          ___\     /            ________ |        |atan|------------||     |        |/          ___\     /            ________ |        |atan|------------||              |atan|------------|||              |atan|------------||
                 ||  1   I*\/ 3 |    /  79   3*I*\/ 443751  |        |    \     79     /|     |        ||  1   I*\/ 3 |    /  79   3*I*\/ 443751  |        |    \     79     /|       ___    |    \     79     /||       ___    |    \     79     /|
                 ||- - - -------|*3 /   -- + -------------- |   5*cos|------------------|     |        ||- - - -------|*3 /   -- + -------------- |   5*sin|------------------|   5*\/ 3 *cos|------------------||   5*\/ 3 *sin|------------------|
       2         \\  2      2   / \/    2          2        /        \        3         /     |        \\  2      2   / \/    2          2        /        \        3         /              \        3         /|              \        3         /
x1 = - - - -------------------------------------------------- + ------------------------- + I*|- -------------------------------------------------- + ------------------------- + -------------------------------| - -------------------------------
       3                           3                                        3                 \                          3                                        3                              3               /                  3

x_{1} = - \frac{5 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} - \frac{2}{3} - \frac{100 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}\right)}}{3} + \frac{5 \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} + i \left(- \frac{100 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}\right)}}{3} + \frac{5 \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} + \frac{5 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3}\right)

                 /                    1                     \                                 /        /                    1                     \                                                              \                                  
           100*re|------------------------------------------|        /    /    ________\\     |  100*im|------------------------------------------|        /    /    ________\\              /    /    ________\\|              /    /    ________\\
                 |                     _____________________|        |    |3*\/ 443751 ||     |        |                     _____________________|        |    |3*\/ 443751 ||              |    |3*\/ 443751 |||              |    |3*\/ 443751 ||
                 |/          ___\     /            ________ |        |atan|------------||     |        |/          ___\     /            ________ |        |atan|------------||              |atan|------------|||              |atan|------------||
                 ||  1   I*\/ 3 |    /  79   3*I*\/ 443751  |        |    \     79     /|     |        ||  1   I*\/ 3 |    /  79   3*I*\/ 443751  |        |    \     79     /|       ___    |    \     79     /||       ___    |    \     79     /|
                 ||- - + -------|*3 /   -- + -------------- |   5*cos|------------------|     |        ||- - + -------|*3 /   -- + -------------- |   5*sin|------------------|   5*\/ 3 *cos|------------------||   5*\/ 3 *sin|------------------|
       2         \\  2      2   / \/    2          2        /        \        3         /     |        \\  2      2   / \/    2          2        /        \        3         /              \        3         /|              \        3         /
x2 = - - - -------------------------------------------------- + ------------------------- + I*|- -------------------------------------------------- + ------------------------- - -------------------------------| + -------------------------------
       3                           3                                        3                 \                          3                                        3                              3               /                  3

x_{2} = - \frac{2}{3} + \frac{5 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} + \frac{5 \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} - \frac{100 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}\right)}}{3} + i \left(- \frac{5 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} + \frac{5 \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{443751}}{79} \right)}}{3} \right)}}{3} - \frac{100 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}\right)}}{3}\right)

                                               _____________________
                                              /            ________ 
                                             /  79   3*I*\/ 443751  
                                          3 /   -- + -------------- 
       2               100                \/    2          2        
x3 = - - - ---------------------------- - --------------------------
       3          _____________________               3             
                 /            ________                              
                /  79   3*I*\/ 443751                               
           3*3 /   -- + --------------                              
             \/    2          2

x_{3} = - \frac{2}{3} - \frac{\sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}{3} - \frac{100}{3 \sqrt[3]{\frac{79}{2} + \frac{3 \sqrt{443751} i}{2}}}

x3 = -2/3 - (79/2 + 3*sqrt(443751)*i/2)^(1/3)/3 - 100/(3*(79/2 + 3*sqrt(443751)*i/2)^(1/3))

Respuesta numérica [src]

x1 = -0.578868585135325

x2 = -6.48356769565241

x3 = 5.06243628078773

x3 = 5.06243628078773

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