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La ecuación:
Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
Ecuación x(x^2+2x+1)=6(x+1)
Ecuación 4x+1=-3x+15
Ecuación (3x−36)⋅(x+8)=0
Expresar {x} en función de y en la ecuación:
-6*x-20*y=8
13*x-12*y=19
-9*x+11*y=9
-4*x-8*y=-20
Expresiones idénticas
(x+ cinco)^ dos *(x- uno)= siete
(x más 5) al cuadrado multiplicar por (x menos 1) es igual a 7
(x más cinco) en el grado dos multiplicar por (x menos uno) es igual a siete
(x+5)2*(x-1)=7
x+52*x-1=7
(x+5)²*(x-1)=7
(x+5) en el grado 2*(x-1)=7
(x+5)^2(x-1)=7
(x+5)2(x-1)=7
x+52x-1=7
x+5^2x-1=7
Expresiones semejantes
(x-5)^2*(x-1)=7
(x+5)^2*(x+1)=7

(x+5)^2*(x-1)=7 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

       2            
(x + 5) *(x - 1) = 7

$$\left(x - 1\right) \left(x + 5\right)^{2} = 7$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

                                     ______________     /                                 ______________\
                                    /        _____      |                                /        _____ |
                                   /  23   \/ 273       |                        ___    /  23   \/ 273  |
                                3 /   -- + -------      |          ___         \/ 3 *3 /   -- + ------- |
                   2            \/    2       2         |      2*\/ 3                \/    2       2    |
x1 = -3 - ------------------- - ------------------- + I*|------------------- - -------------------------|
               ______________            2              |     ______________               2            |
              /        _____                            |    /        _____                             |
             /  23   \/ 273                             |   /  23   \/ 273                              |
          3 /   -- + -------                            |3 /   -- + -------                             |
          \/    2       2                               \\/    2       2                                /

$$x_{1} = -3 - \frac{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2} - \frac{2}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2} + \frac{2 \sqrt{3}}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}\right)$$

                                     ______________     /           ______________                      \
                                    /        _____      |          /        _____                       |
                                   /  23   \/ 273       |  ___    /  23   \/ 273                        |
                                3 /   -- + -------      |\/ 3 *3 /   -- + -------              ___      |
                   2            \/    2       2         |      \/    2       2             2*\/ 3       |
x2 = -3 - ------------------- - ------------------- + I*|------------------------- - -------------------|
               ______________            2              |            2                    ______________|
              /        _____                            |                                /        _____ |
             /  23   \/ 273                             |                               /  23   \/ 273  |
          3 /   -- + -------                            |                            3 /   -- + ------- |
          \/    2       2                               \                            \/    2       2    /

$$x_{2} = -3 - \frac{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2} - \frac{2}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + i \left(- \frac{2 \sqrt{3}}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2}\right)$$

               ______________                      
              /        _____                       
             /  23   \/ 273              4         
x3 = -3 + 3 /   -- + -------  + -------------------
          \/    2       2            ______________
                                    /        _____ 
                                   /  23   \/ 273  
                                3 /   -- + ------- 
                                \/    2       2

$$x_{3} = -3 + \frac{4}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}$$

x3 = -3 + 4/(sqrt(273)/2 + 23/2)^(1/3) + (sqrt(273)/2 + 23/2)^(1/3)

Suma y producto de raíces [src]

suma

                                ______________     /                                 ______________\                                   ______________     /           ______________                      \                                                 
                               /        _____      |                                /        _____ |                                  /        _____      |          /        _____                       |                                                 
                              /  23   \/ 273       |                        ___    /  23   \/ 273  |                                 /  23   \/ 273       |  ___    /  23   \/ 273                        |             ______________                      
                           3 /   -- + -------      |          ___         \/ 3 *3 /   -- + ------- |                              3 /   -- + -------      |\/ 3 *3 /   -- + -------              ___      |            /        _____                       
              2            \/    2       2         |      2*\/ 3                \/    2       2    |                 2            \/    2       2         |      \/    2       2             2*\/ 3       |           /  23   \/ 273              4         
-3 - ------------------- - ------------------- + I*|------------------- - -------------------------| + -3 - ------------------- - ------------------- + I*|------------------------- - -------------------| + -3 + 3 /   -- + -------  + -------------------
          ______________            2              |     ______________               2            |             ______________            2              |            2                    ______________|        \/    2       2            ______________
         /        _____                            |    /        _____                             |            /        _____                            |                                /        _____ |                                  /        _____ 
        /  23   \/ 273                             |   /  23   \/ 273                              |           /  23   \/ 273                             |                               /  23   \/ 273  |                                 /  23   \/ 273  
     3 /   -- + -------                            |3 /   -- + -------                             |        3 /   -- + -------                            |                            3 /   -- + ------- |                              3 /   -- + ------- 
     \/    2       2                               \\/    2       2                                /        \/    2       2                               \                            \/    2       2    /                              \/    2       2

$$\left(-3 + \frac{4}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}\right) + \left(\left(-3 - \frac{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2} - \frac{2}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2} + \frac{2 \sqrt{3}}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}\right)\right) + \left(-3 - \frac{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2} - \frac{2}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + i \left(- \frac{2 \sqrt{3}}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2}\right)\right)\right)$$

       /           ______________                      \     /                                 ______________\
       |          /        _____                       |     |                                /        _____ |
       |  ___    /  23   \/ 273                        |     |                        ___    /  23   \/ 273  |
       |\/ 3 *3 /   -- + -------              ___      |     |          ___         \/ 3 *3 /   -- + ------- |
       |      \/    2       2             2*\/ 3       |     |      2*\/ 3                \/    2       2    |
-9 + I*|------------------------- - -------------------| + I*|------------------- - -------------------------|
       |            2                    ______________|     |     ______________               2            |
       |                                /        _____ |     |    /        _____                             |
       |                               /  23   \/ 273  |     |   /  23   \/ 273                              |
       |                            3 /   -- + ------- |     |3 /   -- + -------                             |
       \                            \/    2       2    /     \\/    2       2                                /

$$-9 + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2} + \frac{2 \sqrt{3}}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}\right) + i \left(- \frac{2 \sqrt{3}}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2}\right)$$

producto

/                                ______________     /                                 ______________\\ /                                ______________     /           ______________                      \\                                                 
|                               /        _____      |                                /        _____ || |                               /        _____      |          /        _____                       ||                                                 
|                              /  23   \/ 273       |                        ___    /  23   \/ 273  || |                              /  23   \/ 273       |  ___    /  23   \/ 273                        || /          ______________                      \
|                           3 /   -- + -------      |          ___         \/ 3 *3 /   -- + ------- || |                           3 /   -- + -------      |\/ 3 *3 /   -- + -------              ___      || |         /        _____                       |
|              2            \/    2       2         |      2*\/ 3                \/    2       2    || |              2            \/    2       2         |      \/    2       2             2*\/ 3       || |        /  23   \/ 273              4         |
|-3 - ------------------- - ------------------- + I*|------------------- - -------------------------||*|-3 - ------------------- - ------------------- + I*|------------------------- - -------------------||*|-3 + 3 /   -- + -------  + -------------------|
|          ______________            2              |     ______________               2            || |          ______________            2              |            2                    ______________|| |     \/    2       2            ______________|
|         /        _____                            |    /        _____                             || |         /        _____                            |                                /        _____ || |                               /        _____ |
|        /  23   \/ 273                             |   /  23   \/ 273                              || |        /  23   \/ 273                             |                               /  23   \/ 273  || |                              /  23   \/ 273  |
|     3 /   -- + -------                            |3 /   -- + -------                             || |     3 /   -- + -------                            |                            3 /   -- + ------- || |                           3 /   -- + ------- |
\     \/    2       2                               \\/    2       2                                // \     \/    2       2                               \                            \/    2       2    // \                           \/    2       2    /

$$\left(-3 - \frac{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2} - \frac{2}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + i \left(- \frac{2 \sqrt{3}}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2}\right)\right) \left(-3 - \frac{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2} - \frac{2}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}{2} + \frac{2 \sqrt{3}}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}}\right)\right) \left(-3 + \frac{4}{\sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}} + \sqrt[3]{\frac{\sqrt{273}}{2} + \frac{23}{2}}\right)$$

$$32$$

Respuesta numérica [src]

x1 = 1.18309886753344

x2 = -5.09154943376672 + 1.06006466862624*i

x3 = -5.09154943376672 - 1.06006466862624*i

x3 = -5.09154943376672 - 1.06006466862624*i

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Expresiones idénticas

Expresiones semejantes

(x+5)^2*(x-1)=7 la ecuación

Solución numérica:

Solución