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La ecuación:
Ecuación (x^2-7)/(x^2+49)=0
Ecuación (6x^2−24)⋅(x+4)=0.
Ecuación 0.5(8x+)=-(2-4x)
Ecuación 640÷(x×9+8)=8
Expresar {x} en función de y en la ecuación:
-8*x-6*y=-20
-20*x+1*y=12
-6*x-8*y=18
-11*x-18*y=18
Expresiones idénticas
x- dos millones quinientos cuarenta y tres mil doscientos /x^ dos =- nueve / dos
x menos 2543200 dividir por x al cuadrado es igual a menos 9 dividir por 2
x menos dos millones quinientos cuarenta y tres mil doscientos dividir por x en el grado dos es igual a menos nueve dividir por dos
x-2543200/x2=-9/2
x-2543200/x²=-9/2
x-2543200/x en el grado 2=-9/2
x-2543200 dividir por x^2=-9 dividir por 2
Expresiones semejantes
x^2-(9/2)x+1=10,5
x+2543200/x^2=-9/2
(53/10)*y-(9/2)*y+(57/50)=2
x-2543200/x^2=+9/2

x-2543200/x^2=-9/2 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

    2543200       
x - ------- = -9/2
        2         
       x

$$x - \frac{2543200}{x^{2}} = - \frac{9}{2}$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

                                                     _____________________________     /            _____________________________                                      \
                                                    / 10172773         __________      |    ___    / 10172773         __________                                       |
                                                 3 /  -------- + 170*\/ 55950103       |  \/ 3 *3 /  -------- + 170*\/ 55950103                       ___              |
       3                    9                    \/      8                             |        \/      8                                         9*\/ 3               |
x1 = - - - ----------------------------------- - --------------------------------- + I*|- --------------------------------------- + -----------------------------------|
       2         _____________________________                   2                     |                     2                            _____________________________|
                / 10172773         __________                                          |                                                 / 10172773         __________ |
           8*3 /  -------- + 170*\/ 55950103                                           |                                            8*3 /  -------- + 170*\/ 55950103  |
             \/      8                                                                 \                                              \/      8                        /

$$x_{1} = - \frac{\sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}}{2} - \frac{3}{2} - \frac{9}{8 \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}}{2} + \frac{9 \sqrt{3}}{8 \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}}\right)$$

                                                     _____________________________     /          _____________________________                                      \
                                                    / 10172773         __________      |  ___    / 10172773         __________                                       |
                                                 3 /  -------- + 170*\/ 55950103       |\/ 3 *3 /  -------- + 170*\/ 55950103                       ___              |
       3                    9                    \/      8                             |      \/      8                                         9*\/ 3               |
x2 = - - - ----------------------------------- - --------------------------------- + I*|--------------------------------------- - -----------------------------------|
       2         _____________________________                   2                     |                   2                            _____________________________|
                / 10172773         __________                                          |                                               / 10172773         __________ |
           8*3 /  -------- + 170*\/ 55950103                                           |                                          8*3 /  -------- + 170*\/ 55950103  |
             \/      8                                                                 \                                            \/      8                        /

$$x_{2} = - \frac{\sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}}{2} - \frac{3}{2} - \frac{9}{8 \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}} + i \left(- \frac{9 \sqrt{3}}{8 \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}} + \frac{\sqrt{3} \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}}{2}\right)$$

               _____________________________                                      
       3      / 10172773         __________                     9                 
x3 = - - + 3 /  -------- + 170*\/ 55950103   + -----------------------------------
       2   \/      8                                 _____________________________
                                                    / 10172773         __________ 
                                               4*3 /  -------- + 170*\/ 55950103  
                                                 \/      8

$$x_{3} = - \frac{3}{2} + \frac{9}{4 \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}} + \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}$$

x3 = -3/2 + 9/(4*(170*sqrt(55950103) + 10172773/8)^(1/3)) + (170*sqrt(55950103) + 10172773/8)^(1/3)

Suma y producto de raíces [src]

suma

                                                _____________________________     /            _____________________________                                      \                                                   _____________________________     /          _____________________________                                      \                                                                                
                                               / 10172773         __________      |    ___    / 10172773         __________                                       |                                                  / 10172773         __________      |  ___    / 10172773         __________                                       |                                                                                
                                            3 /  -------- + 170*\/ 55950103       |  \/ 3 *3 /  -------- + 170*\/ 55950103                       ___              |                                               3 /  -------- + 170*\/ 55950103       |\/ 3 *3 /  -------- + 170*\/ 55950103                       ___              |             _____________________________                                      
  3                    9                    \/      8                             |        \/      8                                         9*\/ 3               |     3                    9                    \/      8                             |      \/      8                                         9*\/ 3               |     3      / 10172773         __________                     9                 
- - - ----------------------------------- - --------------------------------- + I*|- --------------------------------------- + -----------------------------------| + - - - ----------------------------------- - --------------------------------- + I*|--------------------------------------- - -----------------------------------| + - - + 3 /  -------- + 170*\/ 55950103   + -----------------------------------
  2         _____________________________                   2                     |                     2                            _____________________________|     2         _____________________________                   2                     |                   2                            _____________________________|     2   \/      8                                 _____________________________
           / 10172773         __________                                          |                                                 / 10172773         __________ |              / 10172773         __________                                          |                                               / 10172773         __________ |                                                  / 10172773         __________ 
      8*3 /  -------- + 170*\/ 55950103                                           |                                            8*3 /  -------- + 170*\/ 55950103  |         8*3 /  -------- + 170*\/ 55950103                                           |                                          8*3 /  -------- + 170*\/ 55950103  |                                             4*3 /  -------- + 170*\/ 55950103  
        \/      8                                                                 \                                              \/      8                        /           \/      8                                                                 \                                            \/      8                        /                                               \/      8

$$\left(- \frac{3}{2} + \frac{9}{4 \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}} + \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}\right) + \left(\left(- \frac{\sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}}{2} - \frac{3}{2} - \frac{9}{8 \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}}{2} + \frac{9 \sqrt{3}}{8 \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}}\right)\right) + \left(- \frac{\sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}}{2} - \frac{3}{2} - \frac{9}{8 \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}} + i \left(- \frac{9 \sqrt{3}}{8 \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}} + \frac{\sqrt{3} \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}}{2}\right)\right)\right)$$

        /          _____________________________                                      \     /            _____________________________                                      \
        |  ___    / 10172773         __________                                       |     |    ___    / 10172773         __________                                       |
        |\/ 3 *3 /  -------- + 170*\/ 55950103                       ___              |     |  \/ 3 *3 /  -------- + 170*\/ 55950103                       ___              |
  9     |      \/      8                                         9*\/ 3               |     |        \/      8                                         9*\/ 3               |
- - + I*|--------------------------------------- - -----------------------------------| + I*|- --------------------------------------- + -----------------------------------|
  2     |                   2                            _____________________________|     |                     2                            _____________________________|
        |                                               / 10172773         __________ |     |                                                 / 10172773         __________ |
        |                                          8*3 /  -------- + 170*\/ 55950103  |     |                                            8*3 /  -------- + 170*\/ 55950103  |
        \                                            \/      8                        /     \                                              \/      8                        /

$$- \frac{9}{2} + i \left(- \frac{\sqrt{3} \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}}{2} + \frac{9 \sqrt{3}}{8 \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}}\right) + i \left(- \frac{9 \sqrt{3}}{8 \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}} + \frac{\sqrt{3} \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}}{2}\right)$$

producto

/                                                _____________________________     /            _____________________________                                      \\ /                                                _____________________________     /          _____________________________                                      \\                                                                                
|                                               / 10172773         __________      |    ___    / 10172773         __________                                       || |                                               / 10172773         __________      |  ___    / 10172773         __________                                       ||                                                                                
|                                            3 /  -------- + 170*\/ 55950103       |  \/ 3 *3 /  -------- + 170*\/ 55950103                       ___              || |                                            3 /  -------- + 170*\/ 55950103       |\/ 3 *3 /  -------- + 170*\/ 55950103                       ___              || /          _____________________________                                      \
|  3                    9                    \/      8                             |        \/      8                                         9*\/ 3               || |  3                    9                    \/      8                             |      \/      8                                         9*\/ 3               || |  3      / 10172773         __________                     9                 |
|- - - ----------------------------------- - --------------------------------- + I*|- --------------------------------------- + -----------------------------------||*|- - - ----------------------------------- - --------------------------------- + I*|--------------------------------------- - -----------------------------------||*|- - + 3 /  -------- + 170*\/ 55950103   + -----------------------------------|
|  2         _____________________________                   2                     |                     2                            _____________________________|| |  2         _____________________________                   2                     |                   2                            _____________________________|| |  2   \/      8                                 _____________________________|
|           / 10172773         __________                                          |                                                 / 10172773         __________ || |           / 10172773         __________                                          |                                               / 10172773         __________ || |                                               / 10172773         __________ |
|      8*3 /  -------- + 170*\/ 55950103                                           |                                            8*3 /  -------- + 170*\/ 55950103  || |      8*3 /  -------- + 170*\/ 55950103                                           |                                          8*3 /  -------- + 170*\/ 55950103  || |                                          4*3 /  -------- + 170*\/ 55950103  |
\        \/      8                                                                 \                                              \/      8                        // \        \/      8                                                                 \                                            \/      8                        // \                                            \/      8                        /

$$\left(- \frac{\sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}}{2} - \frac{3}{2} - \frac{9}{8 \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}} + i \left(- \frac{9 \sqrt{3}}{8 \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}} + \frac{\sqrt{3} \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}}{2}\right)\right) \left(- \frac{\sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}}{2} - \frac{3}{2} - \frac{9}{8 \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}}{2} + \frac{9 \sqrt{3}}{8 \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}}\right)\right) \left(- \frac{3}{2} + \frac{9}{4 \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}} + \sqrt[3]{170 \sqrt{55950103} + \frac{10172773}{8}}\right)$$

$$2543200$$

Respuesta numérica [src]

x1 = -69.7572679680825 - 118.196505411116*i

x2 = -69.7572679680825 + 118.196505411116*i

x3 = 135.014535936165

x3 = 135.014535936165

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x-2543200/x^2=-9/2 la ecuación

Solución numérica:

Solución