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La ecuación:
Ecuación 2+x=6
Ecuación 9x^2-1=0
Ecuación -0,6x^2+18=0
Ecuación 1/(1+e^(-x))=0.49
Expresar {x} en función de y en la ecuación:
-18*x-8*y=-18
-13*x+12*y=-19
-1*x+11*y=-9
4*x-4*y=-19
Expresiones idénticas
x*((uno +x)^ dos)=(ciento cincuenta y uno / veinte)
x multiplicar por ((1 más x) al cuadrado ) es igual a (151 dividir por 20)
x multiplicar por ((uno más x) en el grado dos) es igual a (ciento cincuenta y uno dividir por veinte)
x*((1+x)2)=(151/20)
x*1+x2=151/20
x*((1+x)²)=(151/20)
x*((1+x) en el grado 2)=(151/20)
x((1+x)^2)=(151/20)
x((1+x)2)=(151/20)
x1+x2=151/20
x1+x^2=151/20
x*((1+x)^2)=(151 dividir por 20)
Expresiones semejantes
((401/100)*(x^2)+(3759/50)*x+(35189/100))*((149/25)+(67/100)*x)+(883/25)*(151/200)-((2173/5)*x+(823/5)*(x^2)+(1051/100)*x^3)=0
x*((1-x)^2)=(151/20)

x*((1+x)^2)=(151/20) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

         2   151
x*(1 + x)  = ---
              20

$$x \left(x + 1\right)^{2} = \frac{151}{20}$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

                ____________________                                    /             ____________________                               \
               /          _________                                     |            /          _________                                |
              /  4117   \/ 1883121                                      |    ___    /  4117   \/ 1883121                                 |
           3 /   ---- + -----------                                     |  \/ 3 *3 /   ---- + -----------                 ___            |
       2   \/    1080       360                     1                   |        \/    1080       360                   \/ 3             |
x1 = - - - ------------------------- - ---------------------------- + I*|- ------------------------------- + ----------------------------|
       3               2                       ____________________     |                 2                          ____________________|
                                              /          _________      |                                           /          _________ |
                                             /  4117   \/ 1883121       |                                          /  4117   \/ 1883121  |
                                       18*3 /   ---- + -----------      |                                    18*3 /   ---- + ----------- |
                                          \/    1080       360          \                                       \/    1080       360     /

$$x_{1} = - \frac{\sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}}{2} - \frac{2}{3} - \frac{1}{18 \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}}{2} + \frac{\sqrt{3}}{18 \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}}\right)$$

                ____________________                                    /           ____________________                               \
               /          _________                                     |          /          _________                                |
              /  4117   \/ 1883121                                      |  ___    /  4117   \/ 1883121                                 |
           3 /   ---- + -----------                                     |\/ 3 *3 /   ---- + -----------                 ___            |
       2   \/    1080       360                     1                   |      \/    1080       360                   \/ 3             |
x2 = - - - ------------------------- - ---------------------------- + I*|------------------------------- - ----------------------------|
       3               2                       ____________________     |               2                          ____________________|
                                              /          _________      |                                         /          _________ |
                                             /  4117   \/ 1883121       |                                        /  4117   \/ 1883121  |
                                       18*3 /   ---- + -----------      |                                  18*3 /   ---- + ----------- |
                                          \/    1080       360          \                                     \/    1080       360     /

$$x_{2} = - \frac{\sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}}{2} - \frac{2}{3} - \frac{1}{18 \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}} + i \left(- \frac{\sqrt{3}}{18 \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}}{2}\right)$$

                ____________________                              
               /          _________                               
       2      /  4117   \/ 1883121                  1             
x3 = - - + 3 /   ---- + -----------  + ---------------------------
       3   \/    1080       360               ____________________
                                             /          _________ 
                                            /  4117   \/ 1883121  
                                       9*3 /   ---- + ----------- 
                                         \/    1080       360

$$x_{3} = - \frac{2}{3} + \frac{1}{9 \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}} + \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}$$

x3 = -2/3 + 1/(9*(sqrt(1883121)/360 + 4117/1080)^(1/3)) + (sqrt(1883121)/360 + 4117/1080)^(1/3)

Suma y producto de raíces [src]

suma

           ____________________                                    /             ____________________                               \              ____________________                                    /           ____________________                               \                                                                
          /          _________                                     |            /          _________                                |             /          _________                                     |          /          _________                                |                                                                
         /  4117   \/ 1883121                                      |    ___    /  4117   \/ 1883121                                 |            /  4117   \/ 1883121                                      |  ___    /  4117   \/ 1883121                                 |              ____________________                              
      3 /   ---- + -----------                                     |  \/ 3 *3 /   ---- + -----------                 ___            |         3 /   ---- + -----------                                     |\/ 3 *3 /   ---- + -----------                 ___            |             /          _________                               
  2   \/    1080       360                     1                   |        \/    1080       360                   \/ 3             |     2   \/    1080       360                     1                   |      \/    1080       360                   \/ 3             |     2      /  4117   \/ 1883121                  1             
- - - ------------------------- - ---------------------------- + I*|- ------------------------------- + ----------------------------| + - - - ------------------------- - ---------------------------- + I*|------------------------------- - ----------------------------| + - - + 3 /   ---- + -----------  + ---------------------------
  3               2                       ____________________     |                 2                          ____________________|     3               2                       ____________________     |               2                          ____________________|     3   \/    1080       360               ____________________
                                         /          _________      |                                           /          _________ |                                            /          _________      |                                         /          _________ |                                           /          _________ 
                                        /  4117   \/ 1883121       |                                          /  4117   \/ 1883121  |                                           /  4117   \/ 1883121       |                                        /  4117   \/ 1883121  |                                          /  4117   \/ 1883121  
                                  18*3 /   ---- + -----------      |                                    18*3 /   ---- + ----------- |                                     18*3 /   ---- + -----------      |                                  18*3 /   ---- + ----------- |                                     9*3 /   ---- + ----------- 
                                     \/    1080       360          \                                       \/    1080       360     /                                        \/    1080       360          \                                     \/    1080       360     /                                       \/    1080       360

$$\left(- \frac{2}{3} + \frac{1}{9 \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}} + \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}\right) + \left(\left(- \frac{\sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}}{2} - \frac{2}{3} - \frac{1}{18 \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}}{2} + \frac{\sqrt{3}}{18 \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}}\right)\right) + \left(- \frac{\sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}}{2} - \frac{2}{3} - \frac{1}{18 \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}} + i \left(- \frac{\sqrt{3}}{18 \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}}{2}\right)\right)\right)$$

       /           ____________________                               \     /             ____________________                               \
       |          /          _________                                |     |            /          _________                                |
       |  ___    /  4117   \/ 1883121                                 |     |    ___    /  4117   \/ 1883121                                 |
       |\/ 3 *3 /   ---- + -----------                 ___            |     |  \/ 3 *3 /   ---- + -----------                 ___            |
       |      \/    1080       360                   \/ 3             |     |        \/    1080       360                   \/ 3             |
-2 + I*|------------------------------- - ----------------------------| + I*|- ------------------------------- + ----------------------------|
       |               2                          ____________________|     |                 2                          ____________________|
       |                                         /          _________ |     |                                           /          _________ |
       |                                        /  4117   \/ 1883121  |     |                                          /  4117   \/ 1883121  |
       |                                  18*3 /   ---- + ----------- |     |                                    18*3 /   ---- + ----------- |
       \                                     \/    1080       360     /     \                                       \/    1080       360     /

$$-2 + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}}{2} + \frac{\sqrt{3}}{18 \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}}\right) + i \left(- \frac{\sqrt{3}}{18 \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}}{2}\right)$$

producto

/           ____________________                                    /             ____________________                               \\ /           ____________________                                    /           ____________________                               \\                                                                
|          /          _________                                     |            /          _________                                || |          /          _________                                     |          /          _________                                ||                                                                
|         /  4117   \/ 1883121                                      |    ___    /  4117   \/ 1883121                                 || |         /  4117   \/ 1883121                                      |  ___    /  4117   \/ 1883121                                 || /           ____________________                              \
|      3 /   ---- + -----------                                     |  \/ 3 *3 /   ---- + -----------                 ___            || |      3 /   ---- + -----------                                     |\/ 3 *3 /   ---- + -----------                 ___            || |          /          _________                               |
|  2   \/    1080       360                     1                   |        \/    1080       360                   \/ 3             || |  2   \/    1080       360                     1                   |      \/    1080       360                   \/ 3             || |  2      /  4117   \/ 1883121                  1             |
|- - - ------------------------- - ---------------------------- + I*|- ------------------------------- + ----------------------------||*|- - - ------------------------- - ---------------------------- + I*|------------------------------- - ----------------------------||*|- - + 3 /   ---- + -----------  + ---------------------------|
|  3               2                       ____________________     |                 2                          ____________________|| |  3               2                       ____________________     |               2                          ____________________|| |  3   \/    1080       360               ____________________|
|                                         /          _________      |                                           /          _________ || |                                         /          _________      |                                         /          _________ || |                                        /          _________ |
|                                        /  4117   \/ 1883121       |                                          /  4117   \/ 1883121  || |                                        /  4117   \/ 1883121       |                                        /  4117   \/ 1883121  || |                                       /  4117   \/ 1883121  |
|                                  18*3 /   ---- + -----------      |                                    18*3 /   ---- + ----------- || |                                  18*3 /   ---- + -----------      |                                  18*3 /   ---- + ----------- || |                                  9*3 /   ---- + ----------- |
\                                     \/    1080       360          \                                       \/    1080       360     // \                                     \/    1080       360          \                                     \/    1080       360     // \                                    \/    1080       360     /

$$\left(- \frac{\sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}}{2} - \frac{2}{3} - \frac{1}{18 \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}} + i \left(- \frac{\sqrt{3}}{18 \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}}{2}\right)\right) \left(- \frac{\sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}}{2} - \frac{2}{3} - \frac{1}{18 \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}}{2} + \frac{\sqrt{3}}{18 \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}}\right)\right) \left(- \frac{2}{3} + \frac{1}{9 \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}} + \sqrt[3]{\frac{\sqrt{1883121}}{360} + \frac{4117}{1080}}\right)$$

151
---
 20

$$\frac{151}{20}$$

151/20

Respuesta numérica [src]

x1 = -1.67897063256201 + 1.65557984548284*i

x2 = -1.67897063256201 - 1.65557984548284*i

x3 = 1.35794126512402

x3 = 1.35794126512402

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Expresiones semejantes

x*((1+x)^2)=(151/20) la ecuación

Solución numérica:

Solución