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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
Integral de d{x}:
x⁶
Derivada de:
x⁶
Expresiones idénticas
x⁶=(4x- tres)³
x⁶ es igual a (4x menos 3)³
x⁶ es igual a (4x menos tres)³
x⁶=4x-3³
Expresiones semejantes
x⁶=(4x+3)³

x⁶=(4x-3)³ la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

 6            3
x  = (4*x - 3)

$$x^{6} = \left(4 x - 3\right)^{3}$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

x1 = 1

$$x_{1} = 1$$

x2 = 3

$$x_{2} = 3$$

            /                    /    /    ___\\\             /    /    ___\\
            |    ___   4 ____    |atan\7*\/ 3 /||   4 ____    |atan\7*\/ 3 /|
x3 = -1 + I*|- \/ 3  + \/ 37 *cos|-------------|| + \/ 37 *sin|-------------|
            \                    \      2      //             \      2      /

$$x_{3} = -1 + \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} + i \left(- \sqrt{3} + \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)}\right)$$

            /                  /    /    ___\\\             /    /    ___\\
            |  ___   4 ____    |atan\7*\/ 3 /||   4 ____    |atan\7*\/ 3 /|
x4 = -1 + I*|\/ 3  + \/ 37 *cos|-------------|| - \/ 37 *sin|-------------|
            \                  \      2      //             \      2      /

$$x_{4} = - \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} - 1 + i \left(\sqrt{3} + \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)}\right)$$

            /                  /    /    ___\\\             /    /    ___\\
            |  ___   4 ____    |atan\7*\/ 3 /||   4 ____    |atan\7*\/ 3 /|
x5 = -1 + I*|\/ 3  - \/ 37 *cos|-------------|| + \/ 37 *sin|-------------|
            \                  \      2      //             \      2      /

$$x_{5} = -1 + \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} + i \left(- \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} + \sqrt{3}\right)$$

            /                    /    /    ___\\\             /    /    ___\\
            |    ___   4 ____    |atan\7*\/ 3 /||   4 ____    |atan\7*\/ 3 /|
x6 = -1 + I*|- \/ 3  - \/ 37 *cos|-------------|| - \/ 37 *sin|-------------|
            \                    \      2      //             \      2      /

$$x_{6} = - \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} - 1 + i \left(- \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} - \sqrt{3}\right)$$

x6 = -37^(1/4)*sin(atan(7*sqrt(3))/2) - 1 + i*(-37^(1/4)*cos(atan(7*sqrt(3))/2) - sqrt(3))

Suma y producto de raíces [src]

suma

               /                    /    /    ___\\\             /    /    ___\\          /                  /    /    ___\\\             /    /    ___\\          /                  /    /    ___\\\             /    /    ___\\          /                    /    /    ___\\\             /    /    ___\\
               |    ___   4 ____    |atan\7*\/ 3 /||   4 ____    |atan\7*\/ 3 /|          |  ___   4 ____    |atan\7*\/ 3 /||   4 ____    |atan\7*\/ 3 /|          |  ___   4 ____    |atan\7*\/ 3 /||   4 ____    |atan\7*\/ 3 /|          |    ___   4 ____    |atan\7*\/ 3 /||   4 ____    |atan\7*\/ 3 /|
1 + 3 + -1 + I*|- \/ 3  + \/ 37 *cos|-------------|| + \/ 37 *sin|-------------| + -1 + I*|\/ 3  + \/ 37 *cos|-------------|| - \/ 37 *sin|-------------| + -1 + I*|\/ 3  - \/ 37 *cos|-------------|| + \/ 37 *sin|-------------| + -1 + I*|- \/ 3  - \/ 37 *cos|-------------|| - \/ 37 *sin|-------------|
               \                    \      2      //             \      2      /          \                  \      2      //             \      2      /          \                  \      2      //             \      2      /          \                    \      2      //             \      2      /

$$\left(- \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} - 1 + i \left(- \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} - \sqrt{3}\right)\right) + \left(\left(-1 + \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} + i \left(- \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} + \sqrt{3}\right)\right) + \left(\left(\left(1 + 3\right) + \left(-1 + \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} + i \left(- \sqrt{3} + \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)}\right)\right)\right) + \left(- \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} - 1 + i \left(\sqrt{3} + \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)}\right)\right)\right)\right)$$

  /                  /    /    ___\\\     /                  /    /    ___\\\     /                    /    /    ___\\\     /                    /    /    ___\\\
  |  ___   4 ____    |atan\7*\/ 3 /||     |  ___   4 ____    |atan\7*\/ 3 /||     |    ___   4 ____    |atan\7*\/ 3 /||     |    ___   4 ____    |atan\7*\/ 3 /||
I*|\/ 3  + \/ 37 *cos|-------------|| + I*|\/ 3  - \/ 37 *cos|-------------|| + I*|- \/ 3  + \/ 37 *cos|-------------|| + I*|- \/ 3  - \/ 37 *cos|-------------||
  \                  \      2      //     \                  \      2      //     \                    \      2      //     \                    \      2      //

$$i \left(- \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} - \sqrt{3}\right) + i \left(- \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} + \sqrt{3}\right) + i \left(- \sqrt{3} + \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)}\right) + i \left(\sqrt{3} + \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)}\right)$$

producto

  /       /                    /    /    ___\\\             /    /    ___\\\ /       /                  /    /    ___\\\             /    /    ___\\\ /       /                  /    /    ___\\\             /    /    ___\\\ /       /                    /    /    ___\\\             /    /    ___\\\
  |       |    ___   4 ____    |atan\7*\/ 3 /||   4 ____    |atan\7*\/ 3 /|| |       |  ___   4 ____    |atan\7*\/ 3 /||   4 ____    |atan\7*\/ 3 /|| |       |  ___   4 ____    |atan\7*\/ 3 /||   4 ____    |atan\7*\/ 3 /|| |       |    ___   4 ____    |atan\7*\/ 3 /||   4 ____    |atan\7*\/ 3 /||
3*|-1 + I*|- \/ 3  + \/ 37 *cos|-------------|| + \/ 37 *sin|-------------||*|-1 + I*|\/ 3  + \/ 37 *cos|-------------|| - \/ 37 *sin|-------------||*|-1 + I*|\/ 3  - \/ 37 *cos|-------------|| + \/ 37 *sin|-------------||*|-1 + I*|- \/ 3  - \/ 37 *cos|-------------|| - \/ 37 *sin|-------------||
  \       \                    \      2      //             \      2      // \       \                  \      2      //             \      2      // \       \                  \      2      //             \      2      // \       \                    \      2      //             \      2      //

$$3 \left(-1 + \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} + i \left(- \sqrt{3} + \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)}\right)\right) \left(- \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} - 1 + i \left(\sqrt{3} + \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)}\right)\right) \left(-1 + \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} + i \left(- \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} + \sqrt{3}\right)\right) \left(- \sqrt[4]{37} \sin{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} - 1 + i \left(- \sqrt[4]{37} \cos{\left(\frac{\operatorname{atan}{\left(7 \sqrt{3} \right)}}{2} \right)} - \sqrt{3}\right)\right)$$

$$27$$

Respuesta numérica [src]

x1 = 0.670742728593816 + 0.0821656252607644*i

x2 = 1.0

x3 = -2.67074272859382 + 3.54626724039852*i

x4 = 3.0

x5 = 0.670742728593816 - 0.0821656252607644*i

x6 = -2.67074272859382 - 3.54626724039852*i

x6 = -2.67074272859382 - 3.54626724039852*i

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Expresiones idénticas

Expresiones semejantes

x⁶=(4x-3)³ la ecuación

Solución numérica:

Solución