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La ecuación:
Ecuación 6*x^2+x-7=0
Ecuación z^5+32=0
Ecuación 2-5(3+2x)=17
Ecuación (6*x+8)/2+5=5*x/3
Expresar {x} en función de y en la ecuación:
-9*x-12*y=-19
-8*x+3*y=-4
16*x-17*y=-15
-10*x-12*y=-10
Expresiones idénticas
dos *x+ doce *x- tres + cuatro /x^ dos = cero
2 multiplicar por x más 12 multiplicar por x menos 3 más 4 dividir por x al cuadrado es igual a 0
dos multiplicar por x más doce multiplicar por x menos tres más cuatro dividir por x en el grado dos es igual a cero
2*x+12*x-3+4/x2=0
2*x+12*x-3+4/x²=0
2*x+12*x-3+4/x en el grado 2=0
2x+12x-3+4/x^2=0
2x+12x-3+4/x2=0
2*x+12*x-3+4/x^2=O
2*x+12*x-3+4 dividir por x^2=0
Expresiones semejantes
2*x+12*x+3+4/x^2=0
2*x-12*x-3+4/x^2=0
2*x+12*x-3-4/x^2=0

2x+12x-3+4/x^2=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

                 4     
2*x + 12*x - 3 + -- = 0
                  2    
                 x

$$\left(\left(2 x + 12 x\right) - 3\right) + \frac{4}{x^{2}} = 0$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

               ____________________                                     /                                             ____________________\
              /              _____                                      |                                            /              _____ |
             /  10557   27*\/ 195                                       |                                    ___    /  10557   27*\/ 195  |
          3 /   ----- + ----------                                      |                 ___              \/ 3 *3 /   ----- + ---------- |
     1    \/     2744       98                      3                   |             3*\/ 3                     \/     2744       98     |
x1 = -- + ------------------------- + ----------------------------- + I*|- ----------------------------- + -------------------------------|
     14               6                        ____________________     |           ____________________                  6               |
                                              /              _____      |          /              _____                                   |
                                             /  10557   27*\/ 195       |         /  10557   27*\/ 195                                    |
                                      392*3 /   ----- + ----------      |  392*3 /   ----- + ----------                                   |
                                          \/     2744       98          \      \/     2744       98                                       /

$$x_{1} = \frac{3}{392 \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}} + \frac{1}{14} + \frac{\sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}{6} + i \left(- \frac{3 \sqrt{3}}{392 \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}} + \frac{\sqrt{3} \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}{6}\right)$$

               ____________________                                     /             ____________________                                \
              /              _____                                      |            /              _____                                 |
             /  10557   27*\/ 195                                       |    ___    /  10557   27*\/ 195                                  |
          3 /   ----- + ----------                                      |  \/ 3 *3 /   ----- + ----------                   ___           |
     1    \/     2744       98                      3                   |        \/     2744       98                   3*\/ 3            |
x2 = -- + ------------------------- + ----------------------------- + I*|- ------------------------------- + -----------------------------|
     14               6                        ____________________     |                 6                           ____________________|
                                              /              _____      |                                            /              _____ |
                                             /  10557   27*\/ 195       |                                           /  10557   27*\/ 195  |
                                      392*3 /   ----- + ----------      |                                    392*3 /   ----- + ---------- |
                                          \/     2744       98          \                                        \/     2744       98     /

$$x_{2} = \frac{3}{392 \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}} + \frac{1}{14} + \frac{\sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}{6} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}{6} + \frac{3 \sqrt{3}}{392 \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}\right)$$

                                               ____________________
                                              /              _____ 
                                             /  10557   27*\/ 195  
                                          3 /   ----- + ---------- 
     1                  3                 \/     2744       98     
x3 = -- - ----------------------------- - -------------------------
     14            ____________________               3            
                  /              _____                             
                 /  10557   27*\/ 195                              
          196*3 /   ----- + ----------                             
              \/     2744       98

$$x_{3} = - \frac{\sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}{3} - \frac{3}{196 \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}} + \frac{1}{14}$$

x3 = -(27*sqrt(195)/98 + 10557/2744)^(1/3)/3 - 3/(196*(27*sqrt(195)/98 + 10557/2744)^(1/3)) + 1/14

Suma y producto de raíces [src]

suma

          ____________________                                     /                                             ____________________\             ____________________                                     /             ____________________                                \                                             ____________________
         /              _____                                      |                                            /              _____ |            /              _____                                      |            /              _____                                 |                                            /              _____ 
        /  10557   27*\/ 195                                       |                                    ___    /  10557   27*\/ 195  |           /  10557   27*\/ 195                                       |    ___    /  10557   27*\/ 195                                  |                                           /  10557   27*\/ 195  
     3 /   ----- + ----------                                      |                 ___              \/ 3 *3 /   ----- + ---------- |        3 /   ----- + ----------                                      |  \/ 3 *3 /   ----- + ----------                   ___           |                                        3 /   ----- + ---------- 
1    \/     2744       98                      3                   |             3*\/ 3                     \/     2744       98     |   1    \/     2744       98                      3                   |        \/     2744       98                   3*\/ 3            |   1                  3                 \/     2744       98     
-- + ------------------------- + ----------------------------- + I*|- ----------------------------- + -------------------------------| + -- + ------------------------- + ----------------------------- + I*|- ------------------------------- + -----------------------------| + -- - ----------------------------- - -------------------------
14               6                        ____________________     |           ____________________                  6               |   14               6                        ____________________     |                 6                           ____________________|   14            ____________________               3            
                                         /              _____      |          /              _____                                   |                                            /              _____      |                                            /              _____ |                /              _____                             
                                        /  10557   27*\/ 195       |         /  10557   27*\/ 195                                    |                                           /  10557   27*\/ 195       |                                           /  10557   27*\/ 195  |               /  10557   27*\/ 195                              
                                 392*3 /   ----- + ----------      |  392*3 /   ----- + ----------                                   |                                    392*3 /   ----- + ----------      |                                    392*3 /   ----- + ---------- |        196*3 /   ----- + ----------                             
                                     \/     2744       98          \      \/     2744       98                                       /                                        \/     2744       98          \                                        \/     2744       98     /            \/     2744       98

$$\left(- \frac{\sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}{3} - \frac{3}{196 \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}} + \frac{1}{14}\right) + \left(\left(\frac{3}{392 \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}} + \frac{1}{14} + \frac{\sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}{6} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}{6} + \frac{3 \sqrt{3}}{392 \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}\right)\right) + \left(\frac{3}{392 \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}} + \frac{1}{14} + \frac{\sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}{6} + i \left(- \frac{3 \sqrt{3}}{392 \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}} + \frac{\sqrt{3} \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}{6}\right)\right)\right)$$

       /                                             ____________________\     /             ____________________                                \
       |                                            /              _____ |     |            /              _____                                 |
       |                                    ___    /  10557   27*\/ 195  |     |    ___    /  10557   27*\/ 195                                  |
       |                 ___              \/ 3 *3 /   ----- + ---------- |     |  \/ 3 *3 /   ----- + ----------                   ___           |
3      |             3*\/ 3                     \/     2744       98     |     |        \/     2744       98                   3*\/ 3            |
-- + I*|- ----------------------------- + -------------------------------| + I*|- ------------------------------- + -----------------------------|
14     |           ____________________                  6               |     |                 6                           ____________________|
       |          /              _____                                   |     |                                            /              _____ |
       |         /  10557   27*\/ 195                                    |     |                                           /  10557   27*\/ 195  |
       |  392*3 /   ----- + ----------                                   |     |                                    392*3 /   ----- + ---------- |
       \      \/     2744       98                                       /     \                                        \/     2744       98     /

$$\frac{3}{14} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}{6} + \frac{3 \sqrt{3}}{392 \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}\right) + i \left(- \frac{3 \sqrt{3}}{392 \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}} + \frac{\sqrt{3} \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}{6}\right)$$

producto

/          ____________________                                     /                                             ____________________\\ /          ____________________                                     /             ____________________                                \\ /                                          ____________________\
|         /              _____                                      |                                            /              _____ || |         /              _____                                      |            /              _____                                 || |                                         /              _____ |
|        /  10557   27*\/ 195                                       |                                    ___    /  10557   27*\/ 195  || |        /  10557   27*\/ 195                                       |    ___    /  10557   27*\/ 195                                  || |                                        /  10557   27*\/ 195  |
|     3 /   ----- + ----------                                      |                 ___              \/ 3 *3 /   ----- + ---------- || |     3 /   ----- + ----------                                      |  \/ 3 *3 /   ----- + ----------                   ___           || |                                     3 /   ----- + ---------- |
|1    \/     2744       98                      3                   |             3*\/ 3                     \/     2744       98     || |1    \/     2744       98                      3                   |        \/     2744       98                   3*\/ 3            || |1                  3                 \/     2744       98     |
|-- + ------------------------- + ----------------------------- + I*|- ----------------------------- + -------------------------------||*|-- + ------------------------- + ----------------------------- + I*|- ------------------------------- + -----------------------------||*|-- - ----------------------------- - -------------------------|
|14               6                        ____________________     |           ____________________                  6               || |14               6                        ____________________     |                 6                           ____________________|| |14            ____________________               3            |
|                                         /              _____      |          /              _____                                   || |                                         /              _____      |                                            /              _____ || |             /              _____                             |
|                                        /  10557   27*\/ 195       |         /  10557   27*\/ 195                                    || |                                        /  10557   27*\/ 195       |                                           /  10557   27*\/ 195  || |            /  10557   27*\/ 195                              |
|                                 392*3 /   ----- + ----------      |  392*3 /   ----- + ----------                                   || |                                 392*3 /   ----- + ----------      |                                    392*3 /   ----- + ---------- || |     196*3 /   ----- + ----------                             |
\                                     \/     2744       98          \      \/     2744       98                                       // \                                     \/     2744       98          \                                        \/     2744       98     // \         \/     2744       98                                 /

$$\left(\frac{3}{392 \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}} + \frac{1}{14} + \frac{\sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}{6} + i \left(- \frac{3 \sqrt{3}}{392 \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}} + \frac{\sqrt{3} \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}{6}\right)\right) \left(\frac{3}{392 \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}} + \frac{1}{14} + \frac{\sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}{6} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}{6} + \frac{3 \sqrt{3}}{392 \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}\right)\right) \left(- \frac{\sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}}{3} - \frac{3}{196 \sqrt[3]{\frac{27 \sqrt{195}}{98} + \frac{10557}{2744}}} + \frac{1}{14}\right)$$

-2/7

$$- \frac{2}{7}$$

-2/7

Respuesta numérica [src]

x1 = 0.404341501742474 + 0.563193514754554*i

x2 = 0.404341501742474 - 0.563193514754554*i

x3 = -0.594397289199233

x3 = -0.594397289199233

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Expresiones idénticas

Expresiones semejantes

2*x+12*x-3+4/x^2=0 la ecuación

Solución numérica:

Solución

2x+12x-3+4/x^2=0 la ecuación