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La ecuación:
Ecuación 9-7(x+3)=5-6x
Ecuación 2x-4=8+2x
Ecuación 2,4(x+0,98)=4,08
Ecuación 7x=-30+2x
Expresar {x} en función de y en la ecuación:
4*x+8*y=7
-1*x+4*y=-10
-16*x+10*y=-11
15*x+12*y=-19
Derivada de:
5/x
Integral de d{x}:
5/x
Límite de la función:
5/x
Expresiones idénticas
doce /(3x+ cinco)+ uno /10x= cinco /x
12 dividir por (3x más 5) más 1 dividir por 10x es igual a 5 dividir por x
doce dividir por (3x más cinco) más uno dividir por 10x es igual a cinco dividir por x
12/3x+5+1/10x=5/x
12 dividir por (3x+5)+1 dividir por 10x=5 dividir por x
Expresiones semejantes
12/(3x+5)-1/10x=5/x
45/(x^2-1)-5/(x+1)+3x/(x-1)=6
(3x-5)/(x+3)=(4x-8)/(x-2)
(x-3)*(x+5)/x+6=0
12/(3x-5)+1/10x=5/x
(4-2*x)*(2*x^2-5*x-7)/(x^2-4*x-5)^2+(4*x-5)/(x^2-4*x-5)=0

12/(3x+5)+1/10x=5/x la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

   12     x    5
------- + -- = -
3*x + 5   10   x

$$\frac{x}{10} + \frac{12}{3 x + 5} = \frac{5}{x}$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

                                                 _____________________     /             _____________________                                 \
                                                /              ______      |            /              ______                                  |
                                               /  28225   35*\/ 7770       |    ___    /  28225   35*\/ 7770                                   |
                                            3 /   ----- + -----------      |  \/ 3 *3 /   ----- + -----------                    ___           |
       5                295                 \/     729         81          |        \/     729         81                  295*\/ 3            |
x1 = - - - ------------------------------ - -------------------------- + I*|- -------------------------------- + ------------------------------|
       9            _____________________               2                  |                 2                            _____________________|
                   /              ______                                   |                                             /              ______ |
                  /  28225   35*\/ 7770                                    |                                            /  28225   35*\/ 7770  |
           162*3 /   ----- + -----------                                   |                                     162*3 /   ----- + ----------- |
               \/     729         81                                       \                                         \/     729         81     /

$$x_{1} = - \frac{\sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2} - \frac{5}{9} - \frac{295}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2} + \frac{295 \sqrt{3}}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}\right)$$

                                                 _____________________     /           _____________________                                 \
                                                /              ______      |          /              ______                                  |
                                               /  28225   35*\/ 7770       |  ___    /  28225   35*\/ 7770                                   |
                                            3 /   ----- + -----------      |\/ 3 *3 /   ----- + -----------                    ___           |
       5                295                 \/     729         81          |      \/     729         81                  295*\/ 3            |
x2 = - - - ------------------------------ - -------------------------- + I*|-------------------------------- - ------------------------------|
       9            _____________________               2                  |               2                            _____________________|
                   /              ______                                   |                                           /              ______ |
                  /  28225   35*\/ 7770                                    |                                          /  28225   35*\/ 7770  |
           162*3 /   ----- + -----------                                   |                                   162*3 /   ----- + ----------- |
               \/     729         81                                       \                                       \/     729         81     /

$$x_{2} = - \frac{\sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2} - \frac{5}{9} - \frac{295}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + i \left(- \frac{295 \sqrt{3}}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + \frac{\sqrt{3} \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2}\right)$$

                _____________________                                
               /              ______                                 
       5      /  28225   35*\/ 7770                  295             
x3 = - - + 3 /   ----- + -----------  + -----------------------------
       9   \/     729         81                _____________________
                                               /              ______ 
                                              /  28225   35*\/ 7770  
                                        81*3 /   ----- + ----------- 
                                           \/     729         81

$$x_{3} = - \frac{5}{9} + \frac{295}{81 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}$$

x3 = -5/9 + 295/(81*(35*sqrt(7770)/81 + 28225/729)^(1/3)) + (35*sqrt(7770)/81 + 28225/729)^(1/3)

Suma y producto de raíces [src]

suma

                                            _____________________     /             _____________________                                 \                                               _____________________     /           _____________________                                 \                                                                   
                                           /              ______      |            /              ______                                  |                                              /              ______      |          /              ______                                  |                                                                   
                                          /  28225   35*\/ 7770       |    ___    /  28225   35*\/ 7770                                   |                                             /  28225   35*\/ 7770       |  ___    /  28225   35*\/ 7770                                   |              _____________________                                
                                       3 /   ----- + -----------      |  \/ 3 *3 /   ----- + -----------                    ___           |                                          3 /   ----- + -----------      |\/ 3 *3 /   ----- + -----------                    ___           |             /              ______                                 
  5                295                 \/     729         81          |        \/     729         81                  295*\/ 3            |     5                295                 \/     729         81          |      \/     729         81                  295*\/ 3            |     5      /  28225   35*\/ 7770                  295             
- - - ------------------------------ - -------------------------- + I*|- -------------------------------- + ------------------------------| + - - - ------------------------------ - -------------------------- + I*|-------------------------------- - ------------------------------| + - - + 3 /   ----- + -----------  + -----------------------------
  9            _____________________               2                  |                 2                            _____________________|     9            _____________________               2                  |               2                            _____________________|     9   \/     729         81                _____________________
              /              ______                                   |                                             /              ______ |                 /              ______                                   |                                           /              ______ |                                             /              ______ 
             /  28225   35*\/ 7770                                    |                                            /  28225   35*\/ 7770  |                /  28225   35*\/ 7770                                    |                                          /  28225   35*\/ 7770  |                                            /  28225   35*\/ 7770  
      162*3 /   ----- + -----------                                   |                                     162*3 /   ----- + ----------- |         162*3 /   ----- + -----------                                   |                                   162*3 /   ----- + ----------- |                                      81*3 /   ----- + ----------- 
          \/     729         81                                       \                                         \/     729         81     /             \/     729         81                                       \                                       \/     729         81     /                                         \/     729         81

$$\left(- \frac{5}{9} + \frac{295}{81 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}\right) + \left(\left(- \frac{\sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2} - \frac{5}{9} - \frac{295}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2} + \frac{295 \sqrt{3}}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}\right)\right) + \left(- \frac{\sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2} - \frac{5}{9} - \frac{295}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + i \left(- \frac{295 \sqrt{3}}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + \frac{\sqrt{3} \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2}\right)\right)\right)$$

        /           _____________________                                 \     /             _____________________                                 \
        |          /              ______                                  |     |            /              ______                                  |
        |  ___    /  28225   35*\/ 7770                                   |     |    ___    /  28225   35*\/ 7770                                   |
        |\/ 3 *3 /   ----- + -----------                    ___           |     |  \/ 3 *3 /   ----- + -----------                    ___           |
  5     |      \/     729         81                  295*\/ 3            |     |        \/     729         81                  295*\/ 3            |
- - + I*|-------------------------------- - ------------------------------| + I*|- -------------------------------- + ------------------------------|
  3     |               2                            _____________________|     |                 2                            _____________________|
        |                                           /              ______ |     |                                             /              ______ |
        |                                          /  28225   35*\/ 7770  |     |                                            /  28225   35*\/ 7770  |
        |                                   162*3 /   ----- + ----------- |     |                                     162*3 /   ----- + ----------- |
        \                                       \/     729         81     /     \                                         \/     729         81     /

$$- \frac{5}{3} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2} + \frac{295 \sqrt{3}}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}\right) + i \left(- \frac{295 \sqrt{3}}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + \frac{\sqrt{3} \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2}\right)$$

producto

/                                            _____________________     /             _____________________                                 \\ /                                            _____________________     /           _____________________                                 \\                                                                   
|                                           /              ______      |            /              ______                                  || |                                           /              ______      |          /              ______                                  ||                                                                   
|                                          /  28225   35*\/ 7770       |    ___    /  28225   35*\/ 7770                                   || |                                          /  28225   35*\/ 7770       |  ___    /  28225   35*\/ 7770                                   || /           _____________________                                \
|                                       3 /   ----- + -----------      |  \/ 3 *3 /   ----- + -----------                    ___           || |                                       3 /   ----- + -----------      |\/ 3 *3 /   ----- + -----------                    ___           || |          /              ______                                 |
|  5                295                 \/     729         81          |        \/     729         81                  295*\/ 3            || |  5                295                 \/     729         81          |      \/     729         81                  295*\/ 3            || |  5      /  28225   35*\/ 7770                  295             |
|- - - ------------------------------ - -------------------------- + I*|- -------------------------------- + ------------------------------||*|- - - ------------------------------ - -------------------------- + I*|-------------------------------- - ------------------------------||*|- - + 3 /   ----- + -----------  + -----------------------------|
|  9            _____________________               2                  |                 2                            _____________________|| |  9            _____________________               2                  |               2                            _____________________|| |  9   \/     729         81                _____________________|
|              /              ______                                   |                                             /              ______ || |              /              ______                                   |                                           /              ______ || |                                          /              ______ |
|             /  28225   35*\/ 7770                                    |                                            /  28225   35*\/ 7770  || |             /  28225   35*\/ 7770                                    |                                          /  28225   35*\/ 7770  || |                                         /  28225   35*\/ 7770  |
|      162*3 /   ----- + -----------                                   |                                     162*3 /   ----- + ----------- || |      162*3 /   ----- + -----------                                   |                                   162*3 /   ----- + ----------- || |                                   81*3 /   ----- + ----------- |
\          \/     729         81                                       \                                         \/     729         81     // \          \/     729         81                                       \                                       \/     729         81     // \                                      \/     729         81     /

$$\left(- \frac{\sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2} - \frac{5}{9} - \frac{295}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + i \left(- \frac{295 \sqrt{3}}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + \frac{\sqrt{3} \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2}\right)\right) \left(- \frac{\sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2} - \frac{5}{9} - \frac{295}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}{2} + \frac{295 \sqrt{3}}{162 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}}\right)\right) \left(- \frac{5}{9} + \frac{295}{81 \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}} + \sqrt[3]{\frac{35 \sqrt{7770}}{81} + \frac{28225}{729}}\right)$$

250/3

$$\frac{250}{3}$$

250/3

Respuesta numérica [src]

x1 = -3.10931983410946 - 2.93925331424971*i

x2 = -3.10931983410946 + 2.93925331424971*i

x3 = 4.55197300155225

x3 = 4.55197300155225

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Expresiones idénticas

Expresiones semejantes

12/(3x+5)+1/10x=5/x la ecuación

Solución numérica:

Solución