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  • La ecuación:
  • Ecuación (3x−36)⋅(x+8)=0
  • Ecuación x+y-4=0
  • Ecuación 4-x/7=x/9 Ecuación 4-x/7=x/9
  • Ecuación z^4=1 Ecuación z^4=1
  • Expresar {x} en función de y en la ecuación:
  • 9*x+17*y=13
  • -2*x-19*y=3
  • 6*x+17*y=-11
  • -19*x+14*y=20

  • Expresiones idénticas

  • uno . cuatro * mil /(x^ tres)+ cero . cuarenta y tres *(mil ^(dos / tres))/(x^ dos)+ cero . once *(mil ^(uno / tres))/x= setenta mil
  • 1.4 multiplicar por 1000 dividir por (x al cubo ) más 0.43 multiplicar por (1000 en el grado (2 dividir por 3)) dividir por (x al cuadrado ) más 0.11 multiplicar por (1000 en el grado (1 dividir por 3)) dividir por x es igual a 70000
  • uno . cuatro multiplicar por mil dividir por (x en el grado tres) más cero . cuarenta y tres multiplicar por (mil en el grado (dos dividir por tres)) dividir por (x en el grado dos) más cero . once multiplicar por (mil en el grado (uno dividir por tres)) dividir por x es igual a setenta mil
  • 1.4*1000/(x3)+0.43*(1000(2/3))/(x2)+0.11*(1000(1/3))/x=70000
  • 1.4*1000/x3+0.43*10002/3/x2+0.11*10001/3/x=70000
  • 1.4*1000/(x³)+0.43*(1000^(2/3))/(x²)+0.11*(1000^(1/3))/x=70000
  • 1.4*1000/(x en el grado 3)+0.43*(1000 en el grado (2/3))/(x en el grado 2)+0.11*(1000 en el grado (1/3))/x=70000
  • 1.41000/(x^3)+0.43(1000^(2/3))/(x^2)+0.11(1000^(1/3))/x=70000
  • 1.41000/(x3)+0.43(1000(2/3))/(x2)+0.11(1000(1/3))/x=70000
  • 1.41000/x3+0.4310002/3/x2+0.1110001/3/x=70000
  • 1.41000/x^3+0.431000^2/3/x^2+0.111000^1/3/x=70000
  • 1.4*1000 dividir por (x^3)+0.43*(1000^(2 dividir por 3)) dividir por (x^2)+0.11*(1000^(1 dividir por 3)) dividir por x=70000

  • Expresiones semejantes

  • 1.4*1000/(x^3)-0.43*(1000^(2/3))/(x^2)+0.11*(1000^(1/3))/x=70000
  • 1.4*1000/(x^3)+0.43*(1000^(2/3))/(x^2)-0.11*(1000^(1/3))/x=70000

1.4*1000/(x^3)+0.43*(1000^(2/3))/(x^2)+0.11*(1000^(1/3))/x=70000 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Gráfica
-12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.515.0-1000000000000500000000000
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
                                                                                          ________________________________________________     /             ________________________________________________                                                                      \
                                                                                         /                         ______________________      |            /                         ______________________                                                                       |
                                                                                        /   92610014899501331    \/ 77792418352573564893       |    ___    /   92610014899501331    \/ 77792418352573564893                                                                        |
                                                                                     3 /   ------------------- + ------------------------      |  \/ 3 *3 /   ------------------- + ------------------------                                          ___                          |
        11                                  903000121                                \/    9261000000000000000         882000000000            |        \/    9261000000000000000         882000000000                                    903000121*\/ 3                           |
x1 = ------- - ------------------------------------------------------------------- - ----------------------------------------------------- + I*|- ----------------------------------------------------------- + -------------------------------------------------------------------|
     2100000                      ________________________________________________                             2                               |                               2                                                   ________________________________________________|
                                 /                         ______________________                                                              |                                                                                  /                         ______________________ |
                                /   92610014899501331    \/ 77792418352573564893                                                               |                                                                                 /   92610014899501331    \/ 77792418352573564893  |
               8820000000000*3 /   ------------------- + ------------------------                                                              |                                                                8820000000000*3 /   ------------------- + ------------------------ |
                             \/    9261000000000000000         882000000000                                                                    \                                                                              \/    9261000000000000000         882000000000       /
x1=−77792418352573564893882000000000+92610014899501331926100000000000000032−903000121882000000000077792418352573564893882000000000+9261001489950133192610000000000000003+112100000+i(−377792418352573564893882000000000+92610014899501331926100000000000000032+9030001213882000000000077792418352573564893882000000000+9261001489950133192610000000000000003)x_{1} = - \frac{\sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2} - \frac{903000121}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \frac{11}{2100000} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2} + \frac{903000121 \sqrt{3}}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}\right) 
                                                                                          ________________________________________________     /           ________________________________________________                                                                      \
                                                                                         /                         ______________________      |          /                         ______________________                                                                       |
                                                                                        /   92610014899501331    \/ 77792418352573564893       |  ___    /   92610014899501331    \/ 77792418352573564893                                                                        |
                                                                                     3 /   ------------------- + ------------------------      |\/ 3 *3 /   ------------------- + ------------------------                                          ___                          |
        11                                  903000121                                \/    9261000000000000000         882000000000            |      \/    9261000000000000000         882000000000                                    903000121*\/ 3                           |
x2 = ------- - ------------------------------------------------------------------- - ----------------------------------------------------- + I*|----------------------------------------------------------- - -------------------------------------------------------------------|
     2100000                      ________________________________________________                             2                               |                             2                                                   ________________________________________________|
                                 /                         ______________________                                                              |                                                                                /                         ______________________ |
                                /   92610014899501331    \/ 77792418352573564893                                                               |                                                                               /   92610014899501331    \/ 77792418352573564893  |
               8820000000000*3 /   ------------------- + ------------------------                                                              |                                                              8820000000000*3 /   ------------------- + ------------------------ |
                             \/    9261000000000000000         882000000000                                                                    \                                                                            \/    9261000000000000000         882000000000       /
x2=−77792418352573564893882000000000+92610014899501331926100000000000000032−903000121882000000000077792418352573564893882000000000+9261001489950133192610000000000000003+112100000+i(−9030001213882000000000077792418352573564893882000000000+9261001489950133192610000000000000003+377792418352573564893882000000000+92610014899501331926100000000000000032)x_{2} = - \frac{\sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2} - \frac{903000121}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \frac{11}{2100000} + i \left(- \frac{903000121 \sqrt{3}}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2}\right) 
                    ________________________________________________                                                                      
                   /                         ______________________                                                                       
        11        /   92610014899501331    \/ 77792418352573564893                                  903000121                             
x3 = ------- + 3 /   ------------------- + ------------------------  + -------------------------------------------------------------------
     2100000   \/    9261000000000000000         882000000000                             ________________________________________________
                                                                                         /                         ______________________ 
                                                                                        /   92610014899501331    \/ 77792418352573564893  
                                                                       4410000000000*3 /   ------------------- + ------------------------ 
                                                                                     \/    9261000000000000000         882000000000
x3=112100000+903000121441000000000077792418352573564893882000000000+9261001489950133192610000000000000003+77792418352573564893882000000000+9261001489950133192610000000000000003x_{3} = \frac{11}{2100000} + \frac{903000121}{4410000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}} 
x3 = 11/2100000 + 903000121/(4410000000000*(sqrt(77792418352573564893)/882000000000 + 92610014899501331/9261000000000000000)^(1/3)) + (sqrt(77792418352573564893)/882000000000 + 92610014899501331/9261000000000000000)^(1/3)
Suma y producto de raíces [src] 
suma
                                                                                     ________________________________________________     /             ________________________________________________                                                                      \                                                                                        ________________________________________________     /           ________________________________________________                                                                      \                                                                                                                                        
                                                                                    /                         ______________________      |            /                         ______________________                                                                       |                                                                                       /                         ______________________      |          /                         ______________________                                                                       |                                                                                                                                        
                                                                                   /   92610014899501331    \/ 77792418352573564893       |    ___    /   92610014899501331    \/ 77792418352573564893                                                                        |                                                                                      /   92610014899501331    \/ 77792418352573564893       |  ___    /   92610014899501331    \/ 77792418352573564893                                                                        |                  ________________________________________________                                                                      
                                                                                3 /   ------------------- + ------------------------      |  \/ 3 *3 /   ------------------- + ------------------------                                          ___                          |                                                                                   3 /   ------------------- + ------------------------      |\/ 3 *3 /   ------------------- + ------------------------                                          ___                          |                 /                         ______________________                                                                       
   11                                  903000121                                \/    9261000000000000000         882000000000            |        \/    9261000000000000000         882000000000                                    903000121*\/ 3                           |      11                                  903000121                                \/    9261000000000000000         882000000000            |      \/    9261000000000000000         882000000000                                    903000121*\/ 3                           |      11        /   92610014899501331    \/ 77792418352573564893                                  903000121                             
------- - ------------------------------------------------------------------- - ----------------------------------------------------- + I*|- ----------------------------------------------------------- + -------------------------------------------------------------------| + ------- - ------------------------------------------------------------------- - ----------------------------------------------------- + I*|----------------------------------------------------------- - -------------------------------------------------------------------| + ------- + 3 /   ------------------- + ------------------------  + -------------------------------------------------------------------
2100000                      ________________________________________________                             2                               |                               2                                                   ________________________________________________|   2100000                      ________________________________________________                             2                               |                             2                                                   ________________________________________________|   2100000   \/    9261000000000000000         882000000000                             ________________________________________________
                            /                         ______________________                                                              |                                                                                  /                         ______________________ |                               /                         ______________________                                                              |                                                                                /                         ______________________ |                                                                                       /                         ______________________ 
                           /   92610014899501331    \/ 77792418352573564893                                                               |                                                                                 /   92610014899501331    \/ 77792418352573564893  |                              /   92610014899501331    \/ 77792418352573564893                                                               |                                                                               /   92610014899501331    \/ 77792418352573564893  |                                                                                      /   92610014899501331    \/ 77792418352573564893  
          8820000000000*3 /   ------------------- + ------------------------                                                              |                                                                8820000000000*3 /   ------------------- + ------------------------ |             8820000000000*3 /   ------------------- + ------------------------                                                              |                                                              8820000000000*3 /   ------------------- + ------------------------ |                                                                     4410000000000*3 /   ------------------- + ------------------------ 
                        \/    9261000000000000000         882000000000                                                                    \                                                                              \/    9261000000000000000         882000000000       /                           \/    9261000000000000000         882000000000                                                                    \                                                                            \/    9261000000000000000         882000000000       /                                                                                   \/    9261000000000000000         882000000000
(112100000+903000121441000000000077792418352573564893882000000000+9261001489950133192610000000000000003+77792418352573564893882000000000+9261001489950133192610000000000000003)+((−77792418352573564893882000000000+92610014899501331926100000000000000032−903000121882000000000077792418352573564893882000000000+9261001489950133192610000000000000003+112100000+i(−377792418352573564893882000000000+92610014899501331926100000000000000032+9030001213882000000000077792418352573564893882000000000+9261001489950133192610000000000000003))+(−77792418352573564893882000000000+92610014899501331926100000000000000032−903000121882000000000077792418352573564893882000000000+9261001489950133192610000000000000003+112100000+i(−9030001213882000000000077792418352573564893882000000000+9261001489950133192610000000000000003+377792418352573564893882000000000+92610014899501331926100000000000000032)))\left(\frac{11}{2100000} + \frac{903000121}{4410000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}\right) + \left(\left(- \frac{\sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2} - \frac{903000121}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \frac{11}{2100000} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2} + \frac{903000121 \sqrt{3}}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}\right)\right) + \left(- \frac{\sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2} - \frac{903000121}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \frac{11}{2100000} + i \left(- \frac{903000121 \sqrt{3}}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2}\right)\right)\right) 
=
           /           ________________________________________________                                                                      \     /             ________________________________________________                                                                      \
           |          /                         ______________________                                                                       |     |            /                         ______________________                                                                       |
           |  ___    /   92610014899501331    \/ 77792418352573564893                                                                        |     |    ___    /   92610014899501331    \/ 77792418352573564893                                                                        |
           |\/ 3 *3 /   ------------------- + ------------------------                                          ___                          |     |  \/ 3 *3 /   ------------------- + ------------------------                                          ___                          |
  11       |      \/    9261000000000000000         882000000000                                    903000121*\/ 3                           |     |        \/    9261000000000000000         882000000000                                    903000121*\/ 3                           |
------ + I*|----------------------------------------------------------- - -------------------------------------------------------------------| + I*|- ----------------------------------------------------------- + -------------------------------------------------------------------|
700000     |                             2                                                   ________________________________________________|     |                               2                                                   ________________________________________________|
           |                                                                                /                         ______________________ |     |                                                                                  /                         ______________________ |
           |                                                                               /   92610014899501331    \/ 77792418352573564893  |     |                                                                                 /   92610014899501331    \/ 77792418352573564893  |
           |                                                              8820000000000*3 /   ------------------- + ------------------------ |     |                                                                8820000000000*3 /   ------------------- + ------------------------ |
           \                                                                            \/    9261000000000000000         882000000000       /     \                                                                              \/    9261000000000000000         882000000000       /
11700000+i(−377792418352573564893882000000000+92610014899501331926100000000000000032+9030001213882000000000077792418352573564893882000000000+9261001489950133192610000000000000003)+i(−9030001213882000000000077792418352573564893882000000000+9261001489950133192610000000000000003+377792418352573564893882000000000+92610014899501331926100000000000000032)\frac{11}{700000} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2} + \frac{903000121 \sqrt{3}}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}\right) + i \left(- \frac{903000121 \sqrt{3}}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2}\right) 
producto
/                                                                                     ________________________________________________     /             ________________________________________________                                                                      \\ /                                                                                     ________________________________________________     /           ________________________________________________                                                                      \\                                                                                                                                        
|                                                                                    /                         ______________________      |            /                         ______________________                                                                       || |                                                                                    /                         ______________________      |          /                         ______________________                                                                       ||                                                                                                                                        
|                                                                                   /   92610014899501331    \/ 77792418352573564893       |    ___    /   92610014899501331    \/ 77792418352573564893                                                                        || |                                                                                   /   92610014899501331    \/ 77792418352573564893       |  ___    /   92610014899501331    \/ 77792418352573564893                                                                        || /               ________________________________________________                                                                      \
|                                                                                3 /   ------------------- + ------------------------      |  \/ 3 *3 /   ------------------- + ------------------------                                          ___                          || |                                                                                3 /   ------------------- + ------------------------      |\/ 3 *3 /   ------------------- + ------------------------                                          ___                          || |              /                         ______________________                                                                       |
|   11                                  903000121                                \/    9261000000000000000         882000000000            |        \/    9261000000000000000         882000000000                                    903000121*\/ 3                           || |   11                                  903000121                                \/    9261000000000000000         882000000000            |      \/    9261000000000000000         882000000000                                    903000121*\/ 3                           || |   11        /   92610014899501331    \/ 77792418352573564893                                  903000121                             |
|------- - ------------------------------------------------------------------- - ----------------------------------------------------- + I*|- ----------------------------------------------------------- + -------------------------------------------------------------------||*|------- - ------------------------------------------------------------------- - ----------------------------------------------------- + I*|----------------------------------------------------------- - -------------------------------------------------------------------||*|------- + 3 /   ------------------- + ------------------------  + -------------------------------------------------------------------|
|2100000                      ________________________________________________                             2                               |                               2                                                   ________________________________________________|| |2100000                      ________________________________________________                             2                               |                             2                                                   ________________________________________________|| |2100000   \/    9261000000000000000         882000000000                             ________________________________________________|
|                            /                         ______________________                                                              |                                                                                  /                         ______________________ || |                            /                         ______________________                                                              |                                                                                /                         ______________________ || |                                                                                    /                         ______________________ |
|                           /   92610014899501331    \/ 77792418352573564893                                                               |                                                                                 /   92610014899501331    \/ 77792418352573564893  || |                           /   92610014899501331    \/ 77792418352573564893                                                               |                                                                               /   92610014899501331    \/ 77792418352573564893  || |                                                                                   /   92610014899501331    \/ 77792418352573564893  |
|          8820000000000*3 /   ------------------- + ------------------------                                                              |                                                                8820000000000*3 /   ------------------- + ------------------------ || |          8820000000000*3 /   ------------------- + ------------------------                                                              |                                                              8820000000000*3 /   ------------------- + ------------------------ || |                                                                  4410000000000*3 /   ------------------- + ------------------------ |
\                        \/    9261000000000000000         882000000000                                                                    \                                                                              \/    9261000000000000000         882000000000       // \                        \/    9261000000000000000         882000000000                                                                    \                                                                            \/    9261000000000000000         882000000000       // \                                                                                \/    9261000000000000000         882000000000       /
(−77792418352573564893882000000000+92610014899501331926100000000000000032−903000121882000000000077792418352573564893882000000000+9261001489950133192610000000000000003+112100000+i(−9030001213882000000000077792418352573564893882000000000+9261001489950133192610000000000000003+377792418352573564893882000000000+92610014899501331926100000000000000032))(−77792418352573564893882000000000+92610014899501331926100000000000000032−903000121882000000000077792418352573564893882000000000+9261001489950133192610000000000000003+112100000+i(−377792418352573564893882000000000+92610014899501331926100000000000000032+9030001213882000000000077792418352573564893882000000000+9261001489950133192610000000000000003))(112100000+903000121441000000000077792418352573564893882000000000+9261001489950133192610000000000000003+77792418352573564893882000000000+9261001489950133192610000000000000003)\left(- \frac{\sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2} - \frac{903000121}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \frac{11}{2100000} + i \left(- \frac{903000121 \sqrt{3}}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2}\right)\right) \left(- \frac{\sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2} - \frac{903000121}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \frac{11}{2100000} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}{2} + \frac{903000121 \sqrt{3}}{8820000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}}\right)\right) \left(\frac{11}{2100000} + \frac{903000121}{4410000000000 \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}} + \sqrt[3]{\frac{\sqrt{77792418352573564893}}{882000000000} + \frac{92610014899501331}{9261000000000000000}}\right) 
=
1/50
150\frac{1}{50} 
1/50
Respuesta numérica [src] 
x1 = -0.136092823728421 - 0.234422186449728*i
x2 = -0.136092823728421 + 0.234422186449728*i
x3 = 0.272201361742556
x3 = 0.272201361742556
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