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  • La ecuación:
  • Ecuación 12-y+2=0 Ecuación 12-y+2=0
  • Ecuación 5*x^2+9*x=0 Ecuación 5*x^2+9*x=0
  • Ecuación 3x^2=2x+x^3 Ecuación 3x^2=2x+x^3
  • Ecuación (1/6)^(x+8)=6^x Ecuación (1/6)^(x+8)=6^x
  • Expresar {x} en función de y en la ecuación:
  • -4*x+4*y=-9
  • 8*x-9*y=-1
  • -14*x+19*y=-3
  • -4*x-4*y=19

  • Expresiones idénticas

  • x^ dos *(x- diecinueve . seiscientos cincuenta y cuatro)= tres . setecientos sesenta y siete * diez ^ tres
  • x al cuadrado multiplicar por (x menos 19.654) es igual a 3.767 multiplicar por 10 al cubo
  • x en el grado dos multiplicar por (x menos diecinueve . seiscientos cincuenta y cuatro) es igual a tres . setecientos sesenta y siete multiplicar por diez en el grado tres
  • x2*(x-19.654)=3.767*103
  • x2*x-19.654=3.767*103
  • x²*(x-19.654)=3.767*10³
  • x en el grado 2*(x-19.654)=3.767*10 en el grado 3
  • x^2(x-19.654)=3.76710^3
  • x2(x-19.654)=3.767103
  • x2x-19.654=3.767103
  • x^2x-19.654=3.76710^3

  • Expresiones semejantes

  • x^2*(x+19.654)=3.767*10^3

x^2*(x-19.654)=3.767*10^3 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src] 
 2 /    9827\   3767*1000
x *|x - ----| = ---------
   \    500 /      1000
x2(x−9827500)=1000⋅37671000x^{2} \left(x - \frac{9827}{500}\right) = \frac{1000 \cdot 3767}{1000}
Simplificar
Gráfica
20253035404550-2500025000
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
                                                                         ________________________________________     /             ________________________________________                                                        \
                                                                        /                   ____________________      |            /                   ____________________                                                         |
                                                                       /  7305805192283   \/ 233218677233700915       |    ___    /  7305805192283   \/ 233218677233700915                                                          |
                                                                    3 /   ------------- + ----------------------      |  \/ 3 *3 /   ------------- + ----------------------                                   ___                   |
     9827                          96569929                         \/      3375000000            225000              |        \/      3375000000            225000                                96569929*\/ 3                    |
x1 = ---- - ----------------------------------------------------- - --------------------------------------------- + I*|- --------------------------------------------------- + -----------------------------------------------------|
     1500                ________________________________________                         2                           |                           2                                         ________________________________________|
                        /                   ____________________                                                      |                                                                    /                   ____________________ |
                       /  7305805192283   \/ 233218677233700915                                                       |                                                                   /  7305805192283   \/ 233218677233700915  |
            4500000*3 /   ------------- + ----------------------                                                      |                                                        4500000*3 /   ------------- + ---------------------- |
                    \/      3375000000            225000                                                              \                                                                \/      3375000000            225000         /
x1=−233218677233700915225000+7305805192283337500000032−965699294500000233218677233700915225000+730580519228333750000003+98271500+i(−3233218677233700915225000+7305805192283337500000032+9656992934500000233218677233700915225000+730580519228333750000003)x_{1} = - \frac{\sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2} - \frac{96569929}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{9827}{1500} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2} + \frac{96569929 \sqrt{3}}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}\right) 
                                                                         ________________________________________     /           ________________________________________                                                        \
                                                                        /                   ____________________      |          /                   ____________________                                                         |
                                                                       /  7305805192283   \/ 233218677233700915       |  ___    /  7305805192283   \/ 233218677233700915                                                          |
                                                                    3 /   ------------- + ----------------------      |\/ 3 *3 /   ------------- + ----------------------                                   ___                   |
     9827                          96569929                         \/      3375000000            225000              |      \/      3375000000            225000                                96569929*\/ 3                    |
x2 = ---- - ----------------------------------------------------- - --------------------------------------------- + I*|--------------------------------------------------- - -----------------------------------------------------|
     1500                ________________________________________                         2                           |                         2                                         ________________________________________|
                        /                   ____________________                                                      |                                                                  /                   ____________________ |
                       /  7305805192283   \/ 233218677233700915                                                       |                                                                 /  7305805192283   \/ 233218677233700915  |
            4500000*3 /   ------------- + ----------------------                                                      |                                                      4500000*3 /   ------------- + ---------------------- |
                    \/      3375000000            225000                                                              \                                                              \/      3375000000            225000         /
x2=−233218677233700915225000+7305805192283337500000032−965699294500000233218677233700915225000+730580519228333750000003+98271500+i(−9656992934500000233218677233700915225000+730580519228333750000003+3233218677233700915225000+7305805192283337500000032)x_{2} = - \frac{\sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2} - \frac{96569929}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{9827}{1500} + i \left(- \frac{96569929 \sqrt{3}}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2}\right) 
                 ________________________________________                                                        
                /                   ____________________                                                         
     9827      /  7305805192283   \/ 233218677233700915                            96569929                      
x3 = ---- + 3 /   ------------- + ----------------------  + -----------------------------------------------------
     1500   \/      3375000000            225000                         ________________________________________
                                                                        /                   ____________________ 
                                                                       /  7305805192283   \/ 233218677233700915  
                                                            2250000*3 /   ------------- + ---------------------- 
                                                                    \/      3375000000            225000
x3=965699292250000233218677233700915225000+730580519228333750000003+98271500+233218677233700915225000+730580519228333750000003x_{3} = \frac{96569929}{2250000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{9827}{1500} + \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}} 
x3 = 96569929/(2250000*(sqrt(233218677233700915)/225000 + 7305805192283/3375000000)^(1/3)) + 9827/1500 + (sqrt(233218677233700915)/225000 + 7305805192283/3375000000)^(1/3)
Suma y producto de raíces [src] 
suma
                                                                    ________________________________________     /             ________________________________________                                                        \                                                                       ________________________________________     /           ________________________________________                                                        \                                                                                                               
                                                                   /                   ____________________      |            /                   ____________________                                                         |                                                                      /                   ____________________      |          /                   ____________________                                                         |                                                                                                               
                                                                  /  7305805192283   \/ 233218677233700915       |    ___    /  7305805192283   \/ 233218677233700915                                                          |                                                                     /  7305805192283   \/ 233218677233700915       |  ___    /  7305805192283   \/ 233218677233700915                                                          |               ________________________________________                                                        
                                                               3 /   ------------- + ----------------------      |  \/ 3 *3 /   ------------- + ----------------------                                   ___                   |                                                                  3 /   ------------- + ----------------------      |\/ 3 *3 /   ------------- + ----------------------                                   ___                   |              /                   ____________________                                                         
9827                          96569929                         \/      3375000000            225000              |        \/      3375000000            225000                                96569929*\/ 3                    |   9827                          96569929                         \/      3375000000            225000              |      \/      3375000000            225000                                96569929*\/ 3                    |   9827      /  7305805192283   \/ 233218677233700915                            96569929                      
---- - ----------------------------------------------------- - --------------------------------------------- + I*|- --------------------------------------------------- + -----------------------------------------------------| + ---- - ----------------------------------------------------- - --------------------------------------------- + I*|--------------------------------------------------- - -----------------------------------------------------| + ---- + 3 /   ------------- + ----------------------  + -----------------------------------------------------
1500                ________________________________________                         2                           |                           2                                         ________________________________________|   1500                ________________________________________                         2                           |                         2                                         ________________________________________|   1500   \/      3375000000            225000                         ________________________________________
                   /                   ____________________                                                      |                                                                    /                   ____________________ |                      /                   ____________________                                                      |                                                                  /                   ____________________ |                                                                      /                   ____________________ 
                  /  7305805192283   \/ 233218677233700915                                                       |                                                                   /  7305805192283   \/ 233218677233700915  |                     /  7305805192283   \/ 233218677233700915                                                       |                                                                 /  7305805192283   \/ 233218677233700915  |                                                                     /  7305805192283   \/ 233218677233700915  
       4500000*3 /   ------------- + ----------------------                                                      |                                                        4500000*3 /   ------------- + ---------------------- |          4500000*3 /   ------------- + ----------------------                                                      |                                                      4500000*3 /   ------------- + ---------------------- |                                                          2250000*3 /   ------------- + ---------------------- 
               \/      3375000000            225000                                                              \                                                                \/      3375000000            225000         /                  \/      3375000000            225000                                                              \                                                              \/      3375000000            225000         /                                                                  \/      3375000000            225000
(965699292250000233218677233700915225000+730580519228333750000003+98271500+233218677233700915225000+730580519228333750000003)+((−233218677233700915225000+7305805192283337500000032−965699294500000233218677233700915225000+730580519228333750000003+98271500+i(−3233218677233700915225000+7305805192283337500000032+9656992934500000233218677233700915225000+730580519228333750000003))+(−233218677233700915225000+7305805192283337500000032−965699294500000233218677233700915225000+730580519228333750000003+98271500+i(−9656992934500000233218677233700915225000+730580519228333750000003+3233218677233700915225000+7305805192283337500000032)))\left(\frac{96569929}{2250000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{9827}{1500} + \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}\right) + \left(\left(- \frac{\sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2} - \frac{96569929}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{9827}{1500} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2} + \frac{96569929 \sqrt{3}}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}\right)\right) + \left(- \frac{\sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2} - \frac{96569929}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{9827}{1500} + i \left(- \frac{96569929 \sqrt{3}}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2}\right)\right)\right) 
=
         /           ________________________________________                                                        \     /             ________________________________________                                                        \
         |          /                   ____________________                                                         |     |            /                   ____________________                                                         |
         |  ___    /  7305805192283   \/ 233218677233700915                                                          |     |    ___    /  7305805192283   \/ 233218677233700915                                                          |
         |\/ 3 *3 /   ------------- + ----------------------                                   ___                   |     |  \/ 3 *3 /   ------------- + ----------------------                                   ___                   |
9827     |      \/      3375000000            225000                                96569929*\/ 3                    |     |        \/      3375000000            225000                                96569929*\/ 3                    |
---- + I*|--------------------------------------------------- - -----------------------------------------------------| + I*|- --------------------------------------------------- + -----------------------------------------------------|
500      |                         2                                         ________________________________________|     |                           2                                         ________________________________________|
         |                                                                  /                   ____________________ |     |                                                                    /                   ____________________ |
         |                                                                 /  7305805192283   \/ 233218677233700915  |     |                                                                   /  7305805192283   \/ 233218677233700915  |
         |                                                      4500000*3 /   ------------- + ---------------------- |     |                                                        4500000*3 /   ------------- + ---------------------- |
         \                                                              \/      3375000000            225000         /     \                                                                \/      3375000000            225000         /
9827500+i(−3233218677233700915225000+7305805192283337500000032+9656992934500000233218677233700915225000+730580519228333750000003)+i(−9656992934500000233218677233700915225000+730580519228333750000003+3233218677233700915225000+7305805192283337500000032)\frac{9827}{500} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2} + \frac{96569929 \sqrt{3}}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}\right) + i \left(- \frac{96569929 \sqrt{3}}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2}\right) 
producto
/                                                                    ________________________________________     /             ________________________________________                                                        \\ /                                                                    ________________________________________     /           ________________________________________                                                        \\                                                                                                               
|                                                                   /                   ____________________      |            /                   ____________________                                                         || |                                                                   /                   ____________________      |          /                   ____________________                                                         ||                                                                                                               
|                                                                  /  7305805192283   \/ 233218677233700915       |    ___    /  7305805192283   \/ 233218677233700915                                                          || |                                                                  /  7305805192283   \/ 233218677233700915       |  ___    /  7305805192283   \/ 233218677233700915                                                          || /            ________________________________________                                                        \
|                                                               3 /   ------------- + ----------------------      |  \/ 3 *3 /   ------------- + ----------------------                                   ___                   || |                                                               3 /   ------------- + ----------------------      |\/ 3 *3 /   ------------- + ----------------------                                   ___                   || |           /                   ____________________                                                         |
|9827                          96569929                         \/      3375000000            225000              |        \/      3375000000            225000                                96569929*\/ 3                    || |9827                          96569929                         \/      3375000000            225000              |      \/      3375000000            225000                                96569929*\/ 3                    || |9827      /  7305805192283   \/ 233218677233700915                            96569929                      |
|---- - ----------------------------------------------------- - --------------------------------------------- + I*|- --------------------------------------------------- + -----------------------------------------------------||*|---- - ----------------------------------------------------- - --------------------------------------------- + I*|--------------------------------------------------- - -----------------------------------------------------||*|---- + 3 /   ------------- + ----------------------  + -----------------------------------------------------|
|1500                ________________________________________                         2                           |                           2                                         ________________________________________|| |1500                ________________________________________                         2                           |                         2                                         ________________________________________|| |1500   \/      3375000000            225000                         ________________________________________|
|                   /                   ____________________                                                      |                                                                    /                   ____________________ || |                   /                   ____________________                                                      |                                                                  /                   ____________________ || |                                                                   /                   ____________________ |
|                  /  7305805192283   \/ 233218677233700915                                                       |                                                                   /  7305805192283   \/ 233218677233700915  || |                  /  7305805192283   \/ 233218677233700915                                                       |                                                                 /  7305805192283   \/ 233218677233700915  || |                                                                  /  7305805192283   \/ 233218677233700915  |
|       4500000*3 /   ------------- + ----------------------                                                      |                                                        4500000*3 /   ------------- + ---------------------- || |       4500000*3 /   ------------- + ----------------------                                                      |                                                      4500000*3 /   ------------- + ---------------------- || |                                                       2250000*3 /   ------------- + ---------------------- |
\               \/      3375000000            225000                                                              \                                                                \/      3375000000            225000         // \               \/      3375000000            225000                                                              \                                                              \/      3375000000            225000         // \                                                               \/      3375000000            225000         /
(−233218677233700915225000+7305805192283337500000032−965699294500000233218677233700915225000+730580519228333750000003+98271500+i(−9656992934500000233218677233700915225000+730580519228333750000003+3233218677233700915225000+7305805192283337500000032))(−233218677233700915225000+7305805192283337500000032−965699294500000233218677233700915225000+730580519228333750000003+98271500+i(−3233218677233700915225000+7305805192283337500000032+9656992934500000233218677233700915225000+730580519228333750000003))(965699292250000233218677233700915225000+730580519228333750000003+98271500+233218677233700915225000+730580519228333750000003)\left(- \frac{\sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2} - \frac{96569929}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{9827}{1500} + i \left(- \frac{96569929 \sqrt{3}}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2}\right)\right) \left(- \frac{\sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2} - \frac{96569929}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{9827}{1500} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}{2} + \frac{96569929 \sqrt{3}}{4500000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}}\right)\right) \left(\frac{96569929}{2250000 \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}} + \frac{9827}{1500} + \sqrt[3]{\frac{\sqrt{233218677233700915}}{225000} + \frac{7305805192283}{3375000000}}\right) 
=
3767
37673767 
3767
Respuesta numérica [src] 
x1 = -2.90484492584236 + 11.8109278413928*i
x2 = -2.90484492584236 - 11.8109278413928*i
x3 = 25.4636898516847
x3 = 25.4636898516847
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