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La ecuación:
Ecuación -x/11+x=50/11
Ecuación 12/x=3
Ecuación 6-5(4x-1)=3
Ecuación 13/(x-5)=5/(x-13)
Expresar {x} en función de y en la ecuación:
-1*x+4*y=-10
-11*x-19*y=14
8*x+6*y=20
-11*x-1*y=15
Expresiones idénticas
z*(uno . setecientos cinco +z)^ dos = uno . trescientos dieciséis
z multiplicar por (1.705 más z) al cuadrado es igual a 1.316
z multiplicar por (uno . setecientos cinco más z) en el grado dos es igual a uno . trescientos dieciséis
z*(1.705+z)2=1.316
z*1.705+z2=1.316
z*(1.705+z)²=1.316
z*(1.705+z) en el grado 2=1.316
z(1.705+z)^2=1.316
z(1.705+z)2=1.316
z1.705+z2=1.316
z1.705+z^2=1.316
Expresiones semejantes
z*(1.705-z)^2=1.316

z*(1.705+z)^2=1.316 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

           2      
  /341    \    329
z*|--- + z|  = ---
  \200    /    250

z \left(z + \frac{341}{200}\right)^{2} = \frac{329}{250}

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Suma y producto de raíces [src]

suma

                                                          ______________________________     /             ______________________________                                             \                                                             ______________________________     /           ______________________________                                             \                                                                                           
                                                         /               ______________      |            /               ______________                                              |                                                            /               ______________      |          /               ______________                                              |                                                                                           
                                                        /  181779821   \/ 546382576635       |    ___    /  181779821   \/ 546382576635                                               |                                                           /  181779821   \/ 546382576635       |  ___    /  181779821   \/ 546382576635                                               |                ______________________________                                             
                                                     3 /   --------- + ----------------      |  \/ 3 *3 /   --------- + ----------------                            ___               |                                                        3 /   --------- + ----------------      |\/ 3 *3 /   --------- + ----------------                            ___               |               /               ______________                                              
  341                     116281                     \/    216000000        900000           |        \/    216000000        900000                        116281*\/ 3                |     341                     116281                     \/    216000000        900000           |      \/    216000000        900000                        116281*\/ 3                |     341      /  181779821   \/ 546382576635                       116281                  
- --- - ------------------------------------------ - ----------------------------------- + I*|- ----------------------------------------- + ------------------------------------------| + - --- - ------------------------------------------ - ----------------------------------- + I*|----------------------------------------- - ------------------------------------------| + - --- + 3 /   --------- + ----------------  + ------------------------------------------
  300               ______________________________                    2                      |                      2                                   ______________________________|     300               ______________________________                    2                      |                    2                                   ______________________________|     300   \/    216000000        900000                     ______________________________
                   /               ______________                                            |                                                         /               ______________ |                      /               ______________                                            |                                                       /               ______________ |                                                            /               ______________ 
                  /  181779821   \/ 546382576635                                             |                                                        /  181779821   \/ 546382576635  |                     /  181779821   \/ 546382576635                                             |                                                      /  181779821   \/ 546382576635  |                                                           /  181779821   \/ 546382576635  
        720000*3 /   --------- + ----------------                                            |                                              720000*3 /   --------- + ---------------- |           720000*3 /   --------- + ----------------                                            |                                            720000*3 /   --------- + ---------------- |                                                 360000*3 /   --------- + ---------------- 
               \/    216000000        900000                                                 \                                                     \/    216000000        900000      /                  \/    216000000        900000                                                 \                                                   \/    216000000        900000      /                                                        \/    216000000        900000

\left(- \frac{341}{300} + \frac{116281}{360000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}\right) + \left(\left(- \frac{341}{300} - \frac{\sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2} - \frac{116281}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2} + \frac{116281 \sqrt{3}}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}\right)\right) + \left(- \frac{341}{300} - \frac{\sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2} - \frac{116281}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + i \left(- \frac{116281 \sqrt{3}}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2}\right)\right)\right)

          /           ______________________________                                             \     /             ______________________________                                             \
          |          /               ______________                                              |     |            /               ______________                                              |
          |  ___    /  181779821   \/ 546382576635                                               |     |    ___    /  181779821   \/ 546382576635                                               |
          |\/ 3 *3 /   --------- + ----------------                            ___               |     |  \/ 3 *3 /   --------- + ----------------                            ___               |
  341     |      \/    216000000        900000                        116281*\/ 3                |     |        \/    216000000        900000                        116281*\/ 3                |
- --- + I*|----------------------------------------- - ------------------------------------------| + I*|- ----------------------------------------- + ------------------------------------------|
  100     |                    2                                   ______________________________|     |                      2                                   ______________________________|
          |                                                       /               ______________ |     |                                                         /               ______________ |
          |                                                      /  181779821   \/ 546382576635  |     |                                                        /  181779821   \/ 546382576635  |
          |                                            720000*3 /   --------- + ---------------- |     |                                              720000*3 /   --------- + ---------------- |
          \                                                   \/    216000000        900000      /     \                                                     \/    216000000        900000      /

- \frac{341}{100} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2} + \frac{116281 \sqrt{3}}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}\right) + i \left(- \frac{116281 \sqrt{3}}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2}\right)

producto

/                                                          ______________________________     /             ______________________________                                             \\ /                                                          ______________________________     /           ______________________________                                             \\                                                                                           
|                                                         /               ______________      |            /               ______________                                              || |                                                         /               ______________      |          /               ______________                                              ||                                                                                           
|                                                        /  181779821   \/ 546382576635       |    ___    /  181779821   \/ 546382576635                                               || |                                                        /  181779821   \/ 546382576635       |  ___    /  181779821   \/ 546382576635                                               || /             ______________________________                                             \
|                                                     3 /   --------- + ----------------      |  \/ 3 *3 /   --------- + ----------------                            ___               || |                                                     3 /   --------- + ----------------      |\/ 3 *3 /   --------- + ----------------                            ___               || |            /               ______________                                              |
|  341                     116281                     \/    216000000        900000           |        \/    216000000        900000                        116281*\/ 3                || |  341                     116281                     \/    216000000        900000           |      \/    216000000        900000                        116281*\/ 3                || |  341      /  181779821   \/ 546382576635                       116281                  |
|- --- - ------------------------------------------ - ----------------------------------- + I*|- ----------------------------------------- + ------------------------------------------||*|- --- - ------------------------------------------ - ----------------------------------- + I*|----------------------------------------- - ------------------------------------------||*|- --- + 3 /   --------- + ----------------  + ------------------------------------------|
|  300               ______________________________                    2                      |                      2                                   ______________________________|| |  300               ______________________________                    2                      |                    2                                   ______________________________|| |  300   \/    216000000        900000                     ______________________________|
|                   /               ______________                                            |                                                         /               ______________ || |                   /               ______________                                            |                                                       /               ______________ || |                                                         /               ______________ |
|                  /  181779821   \/ 546382576635                                             |                                                        /  181779821   \/ 546382576635  || |                  /  181779821   \/ 546382576635                                             |                                                      /  181779821   \/ 546382576635  || |                                                        /  181779821   \/ 546382576635  |
|        720000*3 /   --------- + ----------------                                            |                                              720000*3 /   --------- + ---------------- || |        720000*3 /   --------- + ----------------                                            |                                            720000*3 /   --------- + ---------------- || |                                              360000*3 /   --------- + ---------------- |
\               \/    216000000        900000                                                 \                                                     \/    216000000        900000      // \               \/    216000000        900000                                                 \                                                   \/    216000000        900000      // \                                                     \/    216000000        900000      /

\left(- \frac{341}{300} - \frac{\sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2} - \frac{116281}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + i \left(- \frac{116281 \sqrt{3}}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2}\right)\right) \left(- \frac{341}{300} - \frac{\sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2} - \frac{116281}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2} + \frac{116281 \sqrt{3}}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}\right)\right) \left(- \frac{341}{300} + \frac{116281}{360000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}\right)

329
---
250

\frac{329}{250}

329/250

Respuesta rápida [src]

                                                               ______________________________     /             ______________________________                                             \
                                                              /               ______________      |            /               ______________                                              |
                                                             /  181779821   \/ 546382576635       |    ___    /  181779821   \/ 546382576635                                               |
                                                          3 /   --------- + ----------------      |  \/ 3 *3 /   --------- + ----------------                            ___               |
       341                     116281                     \/    216000000        900000           |        \/    216000000        900000                        116281*\/ 3                |
z1 = - --- - ------------------------------------------ - ----------------------------------- + I*|- ----------------------------------------- + ------------------------------------------|
       300               ______________________________                    2                      |                      2                                   ______________________________|
                        /               ______________                                            |                                                         /               ______________ |
                       /  181779821   \/ 546382576635                                             |                                                        /  181779821   \/ 546382576635  |
             720000*3 /   --------- + ----------------                                            |                                              720000*3 /   --------- + ---------------- |
                    \/    216000000        900000                                                 \                                                     \/    216000000        900000      /

z_{1} = - \frac{341}{300} - \frac{\sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2} - \frac{116281}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2} + \frac{116281 \sqrt{3}}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}\right)

                                                               ______________________________     /           ______________________________                                             \
                                                              /               ______________      |          /               ______________                                              |
                                                             /  181779821   \/ 546382576635       |  ___    /  181779821   \/ 546382576635                                               |
                                                          3 /   --------- + ----------------      |\/ 3 *3 /   --------- + ----------------                            ___               |
       341                     116281                     \/    216000000        900000           |      \/    216000000        900000                        116281*\/ 3                |
z2 = - --- - ------------------------------------------ - ----------------------------------- + I*|----------------------------------------- - ------------------------------------------|
       300               ______________________________                    2                      |                    2                                   ______________________________|
                        /               ______________                                            |                                                       /               ______________ |
                       /  181779821   \/ 546382576635                                             |                                                      /  181779821   \/ 546382576635  |
             720000*3 /   --------- + ----------------                                            |                                            720000*3 /   --------- + ---------------- |
                    \/    216000000        900000                                                 \                                                   \/    216000000        900000      /

z_{2} = - \frac{341}{300} - \frac{\sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2} - \frac{116281}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + i \left(- \frac{116281 \sqrt{3}}{720000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}}{2}\right)

                  ______________________________                                             
                 /               ______________                                              
       341      /  181779821   \/ 546382576635                       116281                  
z3 = - --- + 3 /   --------- + ----------------  + ------------------------------------------
       300   \/    216000000        900000                     ______________________________
                                                              /               ______________ 
                                                             /  181779821   \/ 546382576635  
                                                   360000*3 /   --------- + ---------------- 
                                                          \/    216000000        900000

z_{3} = - \frac{341}{300} + \frac{116281}{360000 \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}} + \sqrt[3]{\frac{\sqrt{546382576635}}{900000} + \frac{181779821}{216000000}}

z3 = -341/300 + 116281/(360000*(sqrt(546382576635)/900000 + 181779821/216000000)^(1/3)) + (sqrt(546382576635)/900000 + 181779821/216000000)^(1/3)

Respuesta numérica [src]

z1 = -1.86535187134482 + 0.789897492854101*i

z2 = -1.86535187134482 - 0.789897492854101*i

z3 = 0.32070374268964

z3 = 0.32070374268964

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

z*(1.705+z)^2=1.316 la ecuación

Solución numérica:

Solución