Sr Examen

Lang:

Otras calculadoras

¿Cómo usar?
La ecuación:
Ecuación 56/x=(10+6)/2
Ecuación 15-4(7-x)=11
Ecuación 3^8-x=27
Ecuación 6,4(y-12,8)=3,2
Expresar {x} en función de y en la ecuación:
20*x+7*y=-9
-13*x-10*y=5
-13*x-19*y=17
15*x+7*y=2
Expresiones idénticas
(ocho *x^ tres)/ tres - tres *x*x- doce *x+ diez . noventa y cinco = cero
(8 multiplicar por x al cubo ) dividir por 3 menos 3 multiplicar por x multiplicar por x menos 12 multiplicar por x más 10.95 es igual a 0
(ocho multiplicar por x en el grado tres) dividir por tres menos tres multiplicar por x multiplicar por x menos doce multiplicar por x más diez . noventa y cinco es igual a cero
(8*x3)/3-3*x*x-12*x+10.95=0
8*x3/3-3*x*x-12*x+10.95=0
(8*x³)/3-3*x*x-12*x+10.95=0
(8*x en el grado 3)/3-3*x*x-12*x+10.95=0
(8x^3)/3-3xx-12x+10.95=0
(8x3)/3-3xx-12x+10.95=0
8x3/3-3xx-12x+10.95=0
8x^3/3-3xx-12x+10.95=0
(8*x^3)/3-3*x*x-12*x+10.95=O
(8*x^3) dividir por 3-3*x*x-12*x+10.95=0
Expresiones semejantes
(8*x^3)/3+3*x*x-12*x+10.95=0
(8*x^3)/3-3*x*x-12*x-10.95=0
(8*x^3)/3-3*x*x+12*x+10.95=0

(8x^3)/3-3xx-12x+10.95=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

   3                         
8*x                   219    
---- - 3*x*x - 12*x + --- = 0
 3                     20

\left(- 12 x + \left(- x 3 x + \frac{8 x^{3}}{3}\right)\right) + \frac{219}{20} = 0

Simplificar

Teorema de Cardano-Vieta

reescribamos la ecuación

\left(- 12 x + \left(- x 3 x + \frac{8 x^{3}}{3}\right)\right) + \frac{219}{20} = 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} - \frac{9 x^{2}}{8} - \frac{9 x}{2} + \frac{657}{160} = 0

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

donde

p = \frac{b}{a}

p = - \frac{9}{8}

q = \frac{c}{a}

q = - \frac{9}{2}

v = \frac{d}{a}

v = \frac{657}{160}

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} = \frac{9}{8}

x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = - \frac{9}{2}

x_{1} x_{2} x_{3} = \frac{657}{160}

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

               /                      1                      \     /        /                      1                      \                                                                 \                                                                 
         315*re|---------------------------------------------|     |  315*im|---------------------------------------------|              /    /    ______\\               /    /    ______\\|               /    /    ______\\              /    /    ______\\
               |                     ________________________|     |        |                     ________________________|              |    |4*\/ 2859 ||               |    |4*\/ 2859 |||               |    |4*\/ 2859 ||              |    |4*\/ 2859 ||
               |/          ___\     /                 ______ |     |        |/          ___\     /                 ______ |              |atan|----------||               |atan|----------|||               |atan|----------||              |atan|----------||
               ||  1   I*\/ 3 |    /  79947   567*I*\/ 2859  |     |        ||  1   I*\/ 3 |    /  79947   567*I*\/ 2859  |     _____    |    \   141    /|       ____    |    \   141    /||       ____    |    \   141    /|     _____    |    \   141    /|
               ||- - - -------|*3 /   ----- + -------------- |     |        ||- - - -------|*3 /   ----- + -------------- |   \/ 105 *sin|----------------|   3*\/ 35 *cos|----------------||   3*\/ 35 *sin|----------------|   \/ 105 *cos|----------------|
     3         \\  2      2   / \/     2560        640       /     |        \\  2      2   / \/     2560        640       /              \       3        /               \       3        /|               \       3        /              \       3        /
x1 = - - ----------------------------------------------------- + I*|- ----------------------------------------------------- + ----------------------------- + ------------------------------| - ------------------------------ + -----------------------------
     8                             64                              \                            64                                          16                              16              /                 16                               16

x_{1} = - \frac{3 \sqrt{35} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} - \frac{315 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}\right)}}{64} + \frac{3}{8} + \frac{\sqrt{105} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} + i \left(- \frac{315 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}\right)}}{64} + \frac{\sqrt{105} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} + \frac{3 \sqrt{35} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16}\right)

               /                      1                      \     /        /                      1                      \                                                                 \                                                                 
         315*re|---------------------------------------------|     |  315*im|---------------------------------------------|               /    /    ______\\              /    /    ______\\|              /    /    ______\\               /    /    ______\\
               |                     ________________________|     |        |                     ________________________|               |    |4*\/ 2859 ||              |    |4*\/ 2859 |||              |    |4*\/ 2859 ||               |    |4*\/ 2859 ||
               |/          ___\     /                 ______ |     |        |/          ___\     /                 ______ |               |atan|----------||              |atan|----------|||              |atan|----------||               |atan|----------||
               ||  1   I*\/ 3 |    /  79947   567*I*\/ 2859  |     |        ||  1   I*\/ 3 |    /  79947   567*I*\/ 2859  |       ____    |    \   141    /|     _____    |    \   141    /||     _____    |    \   141    /|       ____    |    \   141    /|
               ||- - + -------|*3 /   ----- + -------------- |     |        ||- - + -------|*3 /   ----- + -------------- |   3*\/ 35 *cos|----------------|   \/ 105 *sin|----------------||   \/ 105 *cos|----------------|   3*\/ 35 *sin|----------------|
     3         \\  2      2   / \/     2560        640       /     |        \\  2      2   / \/     2560        640       /               \       3        /              \       3        /|              \       3        /               \       3        /
x2 = - - ----------------------------------------------------- + I*|- ----------------------------------------------------- - ------------------------------ + -----------------------------| + ----------------------------- + ------------------------------
     8                             64                              \                            64                                          16                               16             /                 16                              16

x_{2} = \frac{3 \sqrt{35} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} + \frac{3}{8} + \frac{\sqrt{105} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} - \frac{315 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}\right)}}{64} + i \left(- \frac{3 \sqrt{35} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} + \frac{\sqrt{105} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} - \frac{315 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}\right)}}{64}\right)

                                                 ________________________
                                                /                 ______ 
                                               /  79947   567*I*\/ 2859  
                                            3 /   ----- + -------------- 
     3                 315                  \/     2560        640       
x3 = - - -------------------------------- - -----------------------------
     8           ________________________                 3              
                /                 ______                                 
               /  79947   567*I*\/ 2859                                  
         64*3 /   ----- + --------------                                 
            \/     2560        640

x_{3} = \frac{3}{8} - \frac{\sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}{3} - \frac{315}{64 \sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}

x3 = 3/8 - (79947/2560 + 567*sqrt(2859)*i/640)^(1/3)/3 - 315/(64*(79947/2560 + 567*sqrt(2859)*i/640)^(1/3))

Suma y producto de raíces [src]

suma

          /                      1                      \     /        /                      1                      \                                                                 \                                                                              /                      1                      \     /        /                      1                      \                                                                 \                                                                                                                                        
    315*re|---------------------------------------------|     |  315*im|---------------------------------------------|              /    /    ______\\               /    /    ______\\|               /    /    ______\\              /    /    ______\\       315*re|---------------------------------------------|     |  315*im|---------------------------------------------|               /    /    ______\\              /    /    ______\\|              /    /    ______\\               /    /    ______\\                                                                       
          |                     ________________________|     |        |                     ________________________|              |    |4*\/ 2859 ||               |    |4*\/ 2859 |||               |    |4*\/ 2859 ||              |    |4*\/ 2859 ||             |                     ________________________|     |        |                     ________________________|               |    |4*\/ 2859 ||              |    |4*\/ 2859 |||              |    |4*\/ 2859 ||               |    |4*\/ 2859 ||                                               ________________________
          |/          ___\     /                 ______ |     |        |/          ___\     /                 ______ |              |atan|----------||               |atan|----------|||               |atan|----------||              |atan|----------||             |/          ___\     /                 ______ |     |        |/          ___\     /                 ______ |               |atan|----------||              |atan|----------|||              |atan|----------||               |atan|----------||                                              /                 ______ 
          ||  1   I*\/ 3 |    /  79947   567*I*\/ 2859  |     |        ||  1   I*\/ 3 |    /  79947   567*I*\/ 2859  |     _____    |    \   141    /|       ____    |    \   141    /||       ____    |    \   141    /|     _____    |    \   141    /|             ||  1   I*\/ 3 |    /  79947   567*I*\/ 2859  |     |        ||  1   I*\/ 3 |    /  79947   567*I*\/ 2859  |       ____    |    \   141    /|     _____    |    \   141    /||     _____    |    \   141    /|       ____    |    \   141    /|                                             /  79947   567*I*\/ 2859  
          ||- - - -------|*3 /   ----- + -------------- |     |        ||- - - -------|*3 /   ----- + -------------- |   \/ 105 *sin|----------------|   3*\/ 35 *cos|----------------||   3*\/ 35 *sin|----------------|   \/ 105 *cos|----------------|             ||- - + -------|*3 /   ----- + -------------- |     |        ||- - + -------|*3 /   ----- + -------------- |   3*\/ 35 *cos|----------------|   \/ 105 *sin|----------------||   \/ 105 *cos|----------------|   3*\/ 35 *sin|----------------|                                          3 /   ----- + -------------- 
3         \\  2      2   / \/     2560        640       /     |        \\  2      2   / \/     2560        640       /              \       3        /               \       3        /|               \       3        /              \       3        /   3         \\  2      2   / \/     2560        640       /     |        \\  2      2   / \/     2560        640       /               \       3        /              \       3        /|              \       3        /               \       3        /   3                 315                  \/     2560        640       
- - ----------------------------------------------------- + I*|- ----------------------------------------------------- + ----------------------------- + ------------------------------| - ------------------------------ + ----------------------------- + - - ----------------------------------------------------- + I*|- ----------------------------------------------------- - ------------------------------ + -----------------------------| + ----------------------------- + ------------------------------ + - - -------------------------------- - -----------------------------
8                             64                              \                            64                                          16                              16              /                 16                               16                8                             64                              \                            64                                          16                               16             /                 16                              16                 8           ________________________                 3              
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   /                 ______                                 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  /  79947   567*I*\/ 2859                                  
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            64*3 /   ----- + --------------                                 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \/     2560        640

\left(\left(- \frac{3 \sqrt{35} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} - \frac{315 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}\right)}}{64} + \frac{3}{8} + \frac{\sqrt{105} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} + i \left(- \frac{315 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}\right)}}{64} + \frac{\sqrt{105} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} + \frac{3 \sqrt{35} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16}\right)\right) + \left(\frac{3 \sqrt{35} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} + \frac{3}{8} + \frac{\sqrt{105} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} - \frac{315 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}\right)}}{64} + i \left(- \frac{3 \sqrt{35} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} + \frac{\sqrt{105} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} - \frac{315 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}\right)}}{64}\right)\right)\right) + \left(\frac{3}{8} - \frac{\sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}{3} - \frac{315}{64 \sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}\right)

                                             /                      1                      \         /                      1                      \                                     /        /                      1                      \                                                                 \     /        /                      1                      \                                                                 \                                
                                       315*re|---------------------------------------------|   315*re|---------------------------------------------|                                     |  315*im|---------------------------------------------|               /    /    ______\\              /    /    ______\\|     |  315*im|---------------------------------------------|              /    /    ______\\               /    /    ______\\|              /    /    ______\\
                                             |                     ________________________|         |                     ________________________|        ________________________     |        |                     ________________________|               |    |4*\/ 2859 ||              |    |4*\/ 2859 |||     |        |                     ________________________|              |    |4*\/ 2859 ||               |    |4*\/ 2859 |||              |    |4*\/ 2859 ||
                                             |/          ___\     /                 ______ |         |/          ___\     /                 ______ |       /                 ______      |        |/          ___\     /                 ______ |               |atan|----------||              |atan|----------|||     |        |/          ___\     /                 ______ |              |atan|----------||               |atan|----------|||              |atan|----------||
                                             ||  1   I*\/ 3 |    /  79947   567*I*\/ 2859  |         ||  1   I*\/ 3 |    /  79947   567*I*\/ 2859  |      /  79947   567*I*\/ 2859       |        ||  1   I*\/ 3 |    /  79947   567*I*\/ 2859  |       ____    |    \   141    /|     _____    |    \   141    /||     |        ||  1   I*\/ 3 |    /  79947   567*I*\/ 2859  |     _____    |    \   141    /|       ____    |    \   141    /||     _____    |    \   141    /|
                                             ||- - + -------|*3 /   ----- + -------------- |         ||- - - -------|*3 /   ----- + -------------- |   3 /   ----- + --------------      |        ||- - + -------|*3 /   ----- + -------------- |   3*\/ 35 *cos|----------------|   \/ 105 *sin|----------------||     |        ||- - - -------|*3 /   ----- + -------------- |   \/ 105 *sin|----------------|   3*\/ 35 *cos|----------------||   \/ 105 *cos|----------------|
9                 315                        \\  2      2   / \/     2560        640       /         \\  2      2   / \/     2560        640       /   \/     2560        640            |        \\  2      2   / \/     2560        640       /               \       3        /              \       3        /|     |        \\  2      2   / \/     2560        640       /              \       3        /               \       3        /|              \       3        /
- - -------------------------------- - ----------------------------------------------------- - ----------------------------------------------------- - ----------------------------- + I*|- ----------------------------------------------------- - ------------------------------ + -----------------------------| + I*|- ----------------------------------------------------- + ----------------------------- + ------------------------------| + -----------------------------
8           ________________________                             64                                                      64                                          3                   \                            64                                          16                               16             /     \                            64                                          16                              16              /                 8              
           /                 ______                                                                                                                                                                                                                                                                                                                                                                                                                                               
          /  79947   567*I*\/ 2859                                                                                                                                                                                                                                                                                                                                                                                                                                                
    64*3 /   ----- + --------------                                                                                                                                                                                                                                                                                                                                                                                                                                               
       \/     2560        640

- \frac{315 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}\right)}}{64} - \frac{315 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}\right)}}{64} + \frac{9}{8} + \frac{\sqrt{105} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{8} - \frac{\sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}{3} + i \left(- \frac{3 \sqrt{35} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} + \frac{\sqrt{105} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} - \frac{315 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}\right)}}{64}\right) + i \left(- \frac{315 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}\right)}}{64} + \frac{\sqrt{105} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} + \frac{3 \sqrt{35} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16}\right) - \frac{315}{64 \sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}

producto

/          /                      1                      \     /        /                      1                      \                                                                 \                                                                 \ /          /                      1                      \     /        /                      1                      \                                                                 \                                                                 \                                                                       
|    315*re|---------------------------------------------|     |  315*im|---------------------------------------------|              /    /    ______\\               /    /    ______\\|               /    /    ______\\              /    /    ______\\| |    315*re|---------------------------------------------|     |  315*im|---------------------------------------------|               /    /    ______\\              /    /    ______\\|              /    /    ______\\               /    /    ______\\|                                                                       
|          |                     ________________________|     |        |                     ________________________|              |    |4*\/ 2859 ||               |    |4*\/ 2859 |||               |    |4*\/ 2859 ||              |    |4*\/ 2859 ||| |          |                     ________________________|     |        |                     ________________________|               |    |4*\/ 2859 ||              |    |4*\/ 2859 |||              |    |4*\/ 2859 ||               |    |4*\/ 2859 ||| /                                            ________________________\
|          |/          ___\     /                 ______ |     |        |/          ___\     /                 ______ |              |atan|----------||               |atan|----------|||               |atan|----------||              |atan|----------||| |          |/          ___\     /                 ______ |     |        |/          ___\     /                 ______ |               |atan|----------||              |atan|----------|||              |atan|----------||               |atan|----------||| |                                           /                 ______ |
|          ||  1   I*\/ 3 |    /  79947   567*I*\/ 2859  |     |        ||  1   I*\/ 3 |    /  79947   567*I*\/ 2859  |     _____    |    \   141    /|       ____    |    \   141    /||       ____    |    \   141    /|     _____    |    \   141    /|| |          ||  1   I*\/ 3 |    /  79947   567*I*\/ 2859  |     |        ||  1   I*\/ 3 |    /  79947   567*I*\/ 2859  |       ____    |    \   141    /|     _____    |    \   141    /||     _____    |    \   141    /|       ____    |    \   141    /|| |                                          /  79947   567*I*\/ 2859  |
|          ||- - - -------|*3 /   ----- + -------------- |     |        ||- - - -------|*3 /   ----- + -------------- |   \/ 105 *sin|----------------|   3*\/ 35 *cos|----------------||   3*\/ 35 *sin|----------------|   \/ 105 *cos|----------------|| |          ||- - + -------|*3 /   ----- + -------------- |     |        ||- - + -------|*3 /   ----- + -------------- |   3*\/ 35 *cos|----------------|   \/ 105 *sin|----------------||   \/ 105 *cos|----------------|   3*\/ 35 *sin|----------------|| |                                       3 /   ----- + -------------- |
|3         \\  2      2   / \/     2560        640       /     |        \\  2      2   / \/     2560        640       /              \       3        /               \       3        /|               \       3        /              \       3        /| |3         \\  2      2   / \/     2560        640       /     |        \\  2      2   / \/     2560        640       /               \       3        /              \       3        /|              \       3        /               \       3        /| |3                 315                  \/     2560        640       |
|- - ----------------------------------------------------- + I*|- ----------------------------------------------------- + ----------------------------- + ------------------------------| - ------------------------------ + -----------------------------|*|- - ----------------------------------------------------- + I*|- ----------------------------------------------------- - ------------------------------ + -----------------------------| + ----------------------------- + ------------------------------|*|- - -------------------------------- - -----------------------------|
\8                             64                              \                            64                                          16                              16              /                 16                               16             / \8                             64                              \                            64                                          16                               16             /                 16                              16              / |8           ________________________                 3              |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        |           /                 ______                                 |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        |          /  79947   567*I*\/ 2859                                  |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        |    64*3 /   ----- + --------------                                 |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        \       \/     2560        640                                       /

\left(- \frac{3 \sqrt{35} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} - \frac{315 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}\right)}}{64} + \frac{3}{8} + \frac{\sqrt{105} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} + i \left(- \frac{315 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}\right)}}{64} + \frac{\sqrt{105} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} + \frac{3 \sqrt{35} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16}\right)\right) \left(\frac{3 \sqrt{35} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} + \frac{3}{8} + \frac{\sqrt{105} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} - \frac{315 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}\right)}}{64} + i \left(- \frac{3 \sqrt{35} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} + \frac{\sqrt{105} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}}{16} - \frac{315 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}\right)}}{64}\right)\right) \left(\frac{3}{8} - \frac{\sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}{3} - \frac{315}{64 \sqrt[3]{\frac{79947}{2560} + \frac{567 \sqrt{2859} i}{640}}}\right)

                                                                                     /              /      /    ______\\                 /    /    ______\\\ 
                                                                                     |              |      |4*\/ 2859 ||                 |    |4*\/ 2859 ||| 
       /               ______________________ /             ______________________\\ |              |2*atan|----------||                 |atan|----------||| 
   2/3 |    3 ___   3 /               ______  |      2/3 3 /               ______ || |              |      \   141    /|        _____    |    \   141    /|| 
-21   *\525*\/ 5  - \/  2961 + 84*I*\/ 2859  *\15 - 5   *\/  2961 + 84*I*\/ 2859  //*|-384 + 840*cos|------------------| + 24*\/ 105 *cos|----------------|| 
                                                                                     \              \        3         /                 \       3        // 
-------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                          ____________________                                                               
                                                                       3 /             ______                                                                
                                                                215040*\/  141 + 4*I*\/ 2859

- \frac{21^{\frac{2}{3}} \left(525 \sqrt[3]{5} - \left(15 - 5^{\frac{2}{3}} \sqrt[3]{2961 + 84 \sqrt{2859} i}\right) \sqrt[3]{2961 + 84 \sqrt{2859} i}\right) \left(-384 + 24 \sqrt{105} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)} + 840 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{4 \sqrt{2859}}{141} \right)}}{3} \right)}\right)}{215040 \sqrt[3]{141 + 4 \sqrt{2859} i}}

-21^(2/3)*(525*5^(1/3) - (2961 + 84*i*sqrt(2859))^(1/3)*(15 - 5^(2/3)*(2961 + 84*i*sqrt(2859))^(1/3)))*(-384 + 840*cos(2*atan(4*sqrt(2859)/141)/3) + 24*sqrt(105)*cos(atan(4*sqrt(2859)/141)/3))/(215040*(141 + 4*i*sqrt(2859))^(1/3))

Respuesta numérica [src]

x1 = 0.869579813249455

x2 = 2.30450087483421

x3 = -2.04908068808366

x3 = -2.04908068808366

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

(8*x^3)/3-3*x*x-12*x+10.95=0 la ecuación

Solución numérica:

Solución

(8x^3)/3-3xx-12x+10.95=0 la ecuación