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La ecuación:
Ecuación x=(x+1)/2
Ecuación (x-6)(-5x-9)=0
Ecuación x^2-14*x+33=0
Ecuación x^2-5x=14
Expresar {x} en función de y en la ecuación:
12*x+1*y=15
-17*x-12*y=-9
18*x+17*y=-14
16*x-17*y=-15
Derivada de:
x^6
Límite de la función:
x^6
Integral de d{x}:
x^6
Expresiones idénticas
x^ seis =(seis *x- cinco)^ tres
x en el grado 6 es igual a (6 multiplicar por x menos 5) al cubo
x en el grado seis es igual a (seis multiplicar por x menos cinco) en el grado tres
x6=(6*x-5)3
x6=6*x-53
x⁶=(6*x-5)³
x en el grado 6=(6*x-5) en el grado 3
x^6=(6x-5)^3
x6=(6x-5)3
x6=6x-53
x^6=6x-5^3
Expresiones semejantes
x^6=(6*x+5)^3

x^6=(6*x-5)^3 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

 6            3
x  = (6*x - 5)

$$x^{6} = \left(6 x - 5\right)^{3}$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

x1 = 1

$$x_{1} = 1$$

x2 = 5

$$x_{2} = 5$$

             /                       /    /    ___\\\              /    /    ___\\
             |                       |    |7*\/ 3 |||              |    |7*\/ 3 ||
             |      ___              |atan|-------|||              |atan|-------||
       3     |  3*\/ 3    4 _____    |    \   2   /||   4 _____    |    \   2   /|
x3 = - - + I*|- ------- + \/ 151 *cos|-------------|| + \/ 151 *sin|-------------|
       2     \     2                 \      2      //              \      2      /

$$x_{3} = - \frac{3}{2} + \sqrt[4]{151} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)} + i \left(- \frac{3 \sqrt{3}}{2} + \sqrt[4]{151} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)}\right)$$

             /                     /    /    ___\\\              /    /    ___\\
             |                     |    |7*\/ 3 |||              |    |7*\/ 3 ||
             |    ___              |atan|-------|||              |atan|-------||
       3     |3*\/ 3    4 _____    |    \   2   /||   4 _____    |    \   2   /|
x4 = - - + I*|------- + \/ 151 *cos|-------------|| - \/ 151 *sin|-------------|
       2     \   2                 \      2      //              \      2      /

$$x_{4} = - \sqrt[4]{151} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)} - \frac{3}{2} + i \left(\frac{3 \sqrt{3}}{2} + \sqrt[4]{151} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)}\right)$$

             /                     /    /    ___\\\              /    /    ___\\
             |                     |    |7*\/ 3 |||              |    |7*\/ 3 ||
             |    ___              |atan|-------|||              |atan|-------||
       3     |3*\/ 3    4 _____    |    \   2   /||   4 _____    |    \   2   /|
x5 = - - + I*|------- - \/ 151 *cos|-------------|| + \/ 151 *sin|-------------|
       2     \   2                 \      2      //              \      2      /

$$x_{5} = - \frac{3}{2} + \sqrt[4]{151} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)} + i \left(- \sqrt[4]{151} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)} + \frac{3 \sqrt{3}}{2}\right)$$

             /                       /    /    ___\\\              /    /    ___\\
             |                       |    |7*\/ 3 |||              |    |7*\/ 3 ||
             |      ___              |atan|-------|||              |atan|-------||
       3     |  3*\/ 3    4 _____    |    \   2   /||   4 _____    |    \   2   /|
x6 = - - + I*|- ------- - \/ 151 *cos|-------------|| - \/ 151 *sin|-------------|
       2     \     2                 \      2      //              \      2      /

$$x_{6} = - \sqrt[4]{151} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)} - \frac{3}{2} + i \left(- \sqrt[4]{151} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)} - \frac{3 \sqrt{3}}{2}\right)$$

x6 = -151^(1/4)*sin(atan(7*sqrt(3)/2)/2) - 3/2 + i*(-151^(1/4)*cos(atan(7*sqrt(3)/2)/2) - 3*sqrt(3)/2)

Suma y producto de raíces [src]

suma

                /                       /    /    ___\\\              /    /    ___\\           /                     /    /    ___\\\              /    /    ___\\           /                     /    /    ___\\\              /    /    ___\\           /                       /    /    ___\\\              /    /    ___\\
                |                       |    |7*\/ 3 |||              |    |7*\/ 3 ||           |                     |    |7*\/ 3 |||              |    |7*\/ 3 ||           |                     |    |7*\/ 3 |||              |    |7*\/ 3 ||           |                       |    |7*\/ 3 |||              |    |7*\/ 3 ||
                |      ___              |atan|-------|||              |atan|-------||           |    ___              |atan|-------|||              |atan|-------||           |    ___              |atan|-------|||              |atan|-------||           |      ___              |atan|-------|||              |atan|-------||
          3     |  3*\/ 3    4 _____    |    \   2   /||   4 _____    |    \   2   /|     3     |3*\/ 3    4 _____    |    \   2   /||   4 _____    |    \   2   /|     3     |3*\/ 3    4 _____    |    \   2   /||   4 _____    |    \   2   /|     3     |  3*\/ 3    4 _____    |    \   2   /||   4 _____    |    \   2   /|
1 + 5 + - - + I*|- ------- + \/ 151 *cos|-------------|| + \/ 151 *sin|-------------| + - - + I*|------- + \/ 151 *cos|-------------|| - \/ 151 *sin|-------------| + - - + I*|------- - \/ 151 *cos|-------------|| + \/ 151 *sin|-------------| + - - + I*|- ------- - \/ 151 *cos|-------------|| - \/ 151 *sin|-------------|
          2     \     2                 \      2      //              \      2      /     2     \   2                 \      2      //              \      2      /     2     \   2                 \      2      //              \      2      /     2     \     2                 \      2      //              \      2      /

$$\left(- \sqrt[4]{151} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)} - \frac{3}{2} + i \left(- \sqrt[4]{151} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)} - \frac{3 \sqrt{3}}{2}\right)\right) + \left(\left(- \frac{3}{2} + \sqrt[4]{151} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)} + i \left(- \sqrt[4]{151} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)} + \frac{3 \sqrt{3}}{2}\right)\right) + \left(\left(\left(1 + 5\right) + \left(- \frac{3}{2} + \sqrt[4]{151} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)} + i \left(- \frac{3 \sqrt{3}}{2} + \sqrt[4]{151} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)}\right)\right)\right) + \left(- \sqrt[4]{151} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)} - \frac{3}{2} + i \left(\frac{3 \sqrt{3}}{2} + \sqrt[4]{151} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)}\right)\right)\right)\right)$$

  /                       /    /    ___\\\     /                       /    /    ___\\\     /                     /    /    ___\\\     /                     /    /    ___\\\
  |                       |    |7*\/ 3 |||     |                       |    |7*\/ 3 |||     |                     |    |7*\/ 3 |||     |                     |    |7*\/ 3 |||
  |      ___              |atan|-------|||     |      ___              |atan|-------|||     |    ___              |atan|-------|||     |    ___              |atan|-------|||
  |  3*\/ 3    4 _____    |    \   2   /||     |  3*\/ 3    4 _____    |    \   2   /||     |3*\/ 3    4 _____    |    \   2   /||     |3*\/ 3    4 _____    |    \   2   /||
I*|- ------- + \/ 151 *cos|-------------|| + I*|- ------- - \/ 151 *cos|-------------|| + I*|------- + \/ 151 *cos|-------------|| + I*|------- - \/ 151 *cos|-------------||
  \     2                 \      2      //     \     2                 \      2      //     \   2                 \      2      //     \   2                 \      2      //

$$i \left(- \sqrt[4]{151} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)} - \frac{3 \sqrt{3}}{2}\right) + i \left(- \sqrt[4]{151} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)} + \frac{3 \sqrt{3}}{2}\right) + i \left(- \frac{3 \sqrt{3}}{2} + \sqrt[4]{151} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)}\right) + i \left(\frac{3 \sqrt{3}}{2} + \sqrt[4]{151} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)}\right)$$

producto

  /        /                       /    /    ___\\\              /    /    ___\\\ /        /                     /    /    ___\\\              /    /    ___\\\ /        /                     /    /    ___\\\              /    /    ___\\\ /        /                       /    /    ___\\\              /    /    ___\\\
  |        |                       |    |7*\/ 3 |||              |    |7*\/ 3 ||| |        |                     |    |7*\/ 3 |||              |    |7*\/ 3 ||| |        |                     |    |7*\/ 3 |||              |    |7*\/ 3 ||| |        |                       |    |7*\/ 3 |||              |    |7*\/ 3 |||
  |        |      ___              |atan|-------|||              |atan|-------||| |        |    ___              |atan|-------|||              |atan|-------||| |        |    ___              |atan|-------|||              |atan|-------||| |        |      ___              |atan|-------|||              |atan|-------|||
  |  3     |  3*\/ 3    4 _____    |    \   2   /||   4 _____    |    \   2   /|| |  3     |3*\/ 3    4 _____    |    \   2   /||   4 _____    |    \   2   /|| |  3     |3*\/ 3    4 _____    |    \   2   /||   4 _____    |    \   2   /|| |  3     |  3*\/ 3    4 _____    |    \   2   /||   4 _____    |    \   2   /||
5*|- - + I*|- ------- + \/ 151 *cos|-------------|| + \/ 151 *sin|-------------||*|- - + I*|------- + \/ 151 *cos|-------------|| - \/ 151 *sin|-------------||*|- - + I*|------- - \/ 151 *cos|-------------|| + \/ 151 *sin|-------------||*|- - + I*|- ------- - \/ 151 *cos|-------------|| - \/ 151 *sin|-------------||
  \  2     \     2                 \      2      //              \      2      // \  2     \   2                 \      2      //              \      2      // \  2     \   2                 \      2      //              \      2      // \  2     \     2                 \      2      //              \      2      //

$$5 \left(- \frac{3}{2} + \sqrt[4]{151} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)} + i \left(- \frac{3 \sqrt{3}}{2} + \sqrt[4]{151} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)}\right)\right) \left(- \sqrt[4]{151} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)} - \frac{3}{2} + i \left(\frac{3 \sqrt{3}}{2} + \sqrt[4]{151} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)}\right)\right) \left(- \frac{3}{2} + \sqrt[4]{151} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)} + i \left(- \sqrt[4]{151} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)} + \frac{3 \sqrt{3}}{2}\right)\right) \left(- \sqrt[4]{151} \sin{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)} - \frac{3}{2} + i \left(- \sqrt[4]{151} \cos{\left(\frac{\operatorname{atan}{\left(\frac{7 \sqrt{3}}{2} \right)}}{2} \right)} - \frac{3 \sqrt{3}}{2}\right)\right)$$

$$125$$

Respuesta numérica [src]

x1 = 0.768061477059706 + 0.074769250644488*i

x2 = 1.0

x3 = -3.76806147705971 - 5.27092167335112*i

x4 = 5.0

x5 = 0.768061477059706 - 0.074769250644488*i

x6 = -3.76806147705971 + 5.27092167335112*i

x6 = -3.76806147705971 + 5.27092167335112*i

Gráfico

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Expresiones idénticas

Expresiones semejantes

x^6=(6*x-5)^3 la ecuación

Solución numérica:

Solución