Sr Examen

Lang:

Otras calculadoras

¿Cómo usar?
La ecuación:
Ecuación (1/6)^(x+8)=6^x
Ecuación 13/(x+6)=2
Ecuación y^2-5*y=0
Ecuación 49x^3+14x^2+x=0
Expresar {x} en función de y en la ecuación:
-16*x+3*y=17
18*x-14*y=-2
18*x+19*y=10
11*x-6*y=5
Expresiones idénticas
sin(tres *x+y^ dos)^ dos = cinco
seno de (3 multiplicar por x más y al cuadrado ) al cuadrado es igual a 5
seno de (tres multiplicar por x más y en el grado dos) en el grado dos es igual a cinco
sin(3*x+y2)2=5
sin3*x+y22=5
sin(3*x+y²)²=5
sin(3*x+y en el grado 2) en el grado 2=5
sin(3x+y^2)^2=5
sin(3x+y2)2=5
sin3x+y22=5
sin3x+y^2^2=5
Expresiones semejantes
sin(3*x-y^2)^2=5
Expresiones con funciones
Seno sin
sin(5pix)=1
sin(x/2+5π/6)=1/2
sin(x/2-pi/6)+1=0
sin^4(3x)=0
sin(x)=530×10^9/21

sin(3*x+y^2)^2=5 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

   2/       2\    
sin \3*x + y / = 5

$$\sin^{2}{\left(3 x + y^{2} \right)} = 5$$

Simplificar

Solución detallada

Tenemos la ecuación
$$\sin^{2}{\left(3 x + y^{2} \right)} = 5$$
cambiamos
$$\sin^{2}{\left(3 x + y^{2} \right)} - 5 = 0$$
$$\sin^{2}{\left(3 x + y^{2} \right)} - 5 = 0$$
Sustituimos
$$w = \sin{\left(3 x + y^{2} \right)}$$
Tenemos la ecuación
$$\sin^{2}{\left(3 x + y^{2} \right)} - 5 = 0$$
Ya que la potencia en la ecuación es igual a = 2 - contiene un número par 2 en el numerador, entonces
la ecuación tendrá dos raíces reales.
Extraigamos la raíz de potencia 2 de las dos partes de la ecuación:
Obtenemos:
$$\sqrt{\left(0 w + \sin{\left(3 x + y^{2} \right)}\right)^{2}} = \sqrt{5}$$
$$\sqrt{\left(0 w + \sin{\left(3 x + y^{2} \right)}\right)^{2}} = \left(-1\right) \sqrt{5}$$
o
$$\sin{\left(3 x + y^{2} \right)} = \sqrt{5}$$
$$\sin{\left(3 x + y^{2} \right)} = - \sqrt{5}$$
Abrimos los paréntesis en el miembro izquierdo de la ecuación

siny+2+3*x = sqrt(5)

Abrimos los paréntesis en el miembro derecho de la ecuación

siny+2+3*x = sqrt5

Esta ecuación no tiene soluciones
Abrimos los paréntesis en el miembro izquierdo de la ecuación

siny+2+3*x = -sqrt(5)

Abrimos los paréntesis en el miembro derecho de la ecuación

siny+2+3*x = -sqrt5

Esta ecuación no tiene soluciones
o

hacemos cambio inverso
$$\sin{\left(3 x + y^{2} \right)} = w$$
sustituimos w:

Gráfica

Respuesta rápida [src]

           _________________________________________________________________                                                                              _________________________________________________________________                                                                     
          /                              2                                2     /     /    /    /  ___\\                /    /  ___\\          \\        /                              2                                2     /     /    /    /  ___\\                /    /  ___\\          \\
       4 /  /    /    /  ___\\          \    /    /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), - re\asin\\/ 5 // - 3*re(x)/|     4 /  /    /    /  ___\\          \    /    /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), - re\asin\\/ 5 // - 3*re(x)/|
y1 = - \/   \- im\asin\\/ 5 // - 3*im(x)/  + \- re\asin\\/ 5 // - 3*re(x)/  *cos|---------------------------------------------------------------| - I*\/   \- im\asin\\/ 5 // - 3*im(x)/  + \- re\asin\\/ 5 // - 3*re(x)/  *sin|---------------------------------------------------------------|
                                                                                \                               2                               /                                                                              \                               2                               /

$$y_{1} = - i \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)} - \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)}$$

         _________________________________________________________________                                                                              _________________________________________________________________                                                                     
        /                              2                                2     /     /    /    /  ___\\                /    /  ___\\          \\        /                              2                                2     /     /    /    /  ___\\                /    /  ___\\          \\
     4 /  /    /    /  ___\\          \    /    /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), - re\asin\\/ 5 // - 3*re(x)/|     4 /  /    /    /  ___\\          \    /    /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), - re\asin\\/ 5 // - 3*re(x)/|
y2 = \/   \- im\asin\\/ 5 // - 3*im(x)/  + \- re\asin\\/ 5 // - 3*re(x)/  *cos|---------------------------------------------------------------| + I*\/   \- im\asin\\/ 5 // - 3*im(x)/  + \- re\asin\\/ 5 // - 3*re(x)/  *sin|---------------------------------------------------------------|
                                                                              \                               2                               /                                                                              \                               2                               /

$$y_{2} = i \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)} + \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)}$$

           _______________________________________________________________                                                                            _______________________________________________________________                                                                   
          /                             2                               2     /     /             /    /  ___\\               /    /  ___\\\\        /                             2                               2     /     /             /    /  ___\\               /    /  ___\\\\
       4 /  /             /    /  ___\\\    /             /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, -3*re(x) + re\asin\\/ 5 ///|     4 /  /             /    /  ___\\\    /             /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, -3*re(x) + re\asin\\/ 5 ///|
y3 = - \/   \-3*im(x) + im\asin\\/ 5 ///  + \-3*re(x) + re\asin\\/ 5 ///  *cos|-------------------------------------------------------------| - I*\/   \-3*im(x) + im\asin\\/ 5 ///  + \-3*re(x) + re\asin\\/ 5 ///  *sin|-------------------------------------------------------------|
                                                                              \                              2                              /                                                                            \                              2                              /

$$y_{3} = - i \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)} - \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)}$$

         _______________________________________________________________                                                                            _______________________________________________________________                                                                   
        /                             2                               2     /     /             /    /  ___\\               /    /  ___\\\\        /                             2                               2     /     /             /    /  ___\\               /    /  ___\\\\
     4 /  /             /    /  ___\\\    /             /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, -3*re(x) + re\asin\\/ 5 ///|     4 /  /             /    /  ___\\\    /             /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, -3*re(x) + re\asin\\/ 5 ///|
y4 = \/   \-3*im(x) + im\asin\\/ 5 ///  + \-3*re(x) + re\asin\\/ 5 ///  *cos|-------------------------------------------------------------| + I*\/   \-3*im(x) + im\asin\\/ 5 ///  + \-3*re(x) + re\asin\\/ 5 ///  *sin|-------------------------------------------------------------|
                                                                            \                              2                              /                                                                            \                              2                              /

$$y_{4} = i \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)} + \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)}$$

           ____________________________________________________________________                                                                                 ____________________________________________________________________                                                                        
          /                              2                                   2     /     /    /    /  ___\\                   /    /  ___\\          \\        /                              2                                   2     /     /    /    /  ___\\                   /    /  ___\\          \\
       4 /  /    /    /  ___\\          \    /       /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), pi - re\asin\\/ 5 // - 3*re(x)/|     4 /  /    /    /  ___\\          \    /       /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), pi - re\asin\\/ 5 // - 3*re(x)/|
y5 = - \/   \- im\asin\\/ 5 // - 3*im(x)/  + \pi - re\asin\\/ 5 // - 3*re(x)/  *cos|------------------------------------------------------------------| - I*\/   \- im\asin\\/ 5 // - 3*im(x)/  + \pi - re\asin\\/ 5 // - 3*re(x)/  *sin|------------------------------------------------------------------|
                                                                                   \                                2                                 /                                                                                 \                                2                                 /

$$y_{5} = - i \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)} - \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)}$$

         ____________________________________________________________________                                                                                 ____________________________________________________________________                                                                        
        /                              2                                   2     /     /    /    /  ___\\                   /    /  ___\\          \\        /                              2                                   2     /     /    /    /  ___\\                   /    /  ___\\          \\
     4 /  /    /    /  ___\\          \    /       /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), pi - re\asin\\/ 5 // - 3*re(x)/|     4 /  /    /    /  ___\\          \    /       /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), pi - re\asin\\/ 5 // - 3*re(x)/|
y6 = \/   \- im\asin\\/ 5 // - 3*im(x)/  + \pi - re\asin\\/ 5 // - 3*re(x)/  *cos|------------------------------------------------------------------| + I*\/   \- im\asin\\/ 5 // - 3*im(x)/  + \pi - re\asin\\/ 5 // - 3*re(x)/  *sin|------------------------------------------------------------------|
                                                                                 \                                2                                 /                                                                                 \                                2                                 /

$$y_{6} = i \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)} + \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)}$$

           ___________________________________________________________________                                                                                ___________________________________________________________________                                                                       
          /                             2                                   2     /     /             /    /  ___\\                   /    /  ___\\\\        /                             2                                   2     /     /             /    /  ___\\                   /    /  ___\\\\
       4 /  /             /    /  ___\\\    /                 /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, pi - 3*re(x) + re\asin\\/ 5 ///|     4 /  /             /    /  ___\\\    /                 /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, pi - 3*re(x) + re\asin\\/ 5 ///|
y7 = - \/   \-3*im(x) + im\asin\\/ 5 ///  + \pi - 3*re(x) + re\asin\\/ 5 ///  *cos|-----------------------------------------------------------------| - I*\/   \-3*im(x) + im\asin\\/ 5 ///  + \pi - 3*re(x) + re\asin\\/ 5 ///  *sin|-----------------------------------------------------------------|
                                                                                  \                                2                                /                                                                                \                                2                                /

$$y_{7} = - i \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)} - \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)}$$

         ___________________________________________________________________                                                                                ___________________________________________________________________                                                                       
        /                             2                                   2     /     /             /    /  ___\\                   /    /  ___\\\\        /                             2                                   2     /     /             /    /  ___\\                   /    /  ___\\\\
     4 /  /             /    /  ___\\\    /                 /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, pi - 3*re(x) + re\asin\\/ 5 ///|     4 /  /             /    /  ___\\\    /                 /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, pi - 3*re(x) + re\asin\\/ 5 ///|
y8 = \/   \-3*im(x) + im\asin\\/ 5 ///  + \pi - 3*re(x) + re\asin\\/ 5 ///  *cos|-----------------------------------------------------------------| + I*\/   \-3*im(x) + im\asin\\/ 5 ///  + \pi - 3*re(x) + re\asin\\/ 5 ///  *sin|-----------------------------------------------------------------|
                                                                                \                                2                                /                                                                                \                                2                                /

$$y_{8} = i \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)} + \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)}$$

y8 = i*((-3*im(x) + im(asin(sqrt(5))))^2 + (-3*re(x) + re(asin(sqrt(5))) + pi)^2)^(1/4)*sin(atan2(-3*im(x) + im(asin(sqrt(5)), -3*re(x) + re(asin(sqrt(5))) + pi)/2) + ((-3*im(x) + im(asin(sqrt(5))))^2 + (-3*re(x) + re(asin(sqrt(5))) + pi)^2)^(1/4)*cos(atan2(-3*im(x) + im(asin(sqrt(5))), -3*re(x) + re(asin(sqrt(5))) + pi)/2))

Suma y producto de raíces [src]

suma

      _________________________________________________________________                                                                              _________________________________________________________________                                                                            _________________________________________________________________                                                                              _________________________________________________________________                                                                              _______________________________________________________________                                                                            _______________________________________________________________                                                                          _______________________________________________________________                                                                            _______________________________________________________________                                                                            ____________________________________________________________________                                                                                 ____________________________________________________________________                                                                               ____________________________________________________________________                                                                                 ____________________________________________________________________                                                                                 ___________________________________________________________________                                                                                ___________________________________________________________________                                                                              ___________________________________________________________________                                                                                ___________________________________________________________________                                                                       
     /                              2                                2     /     /    /    /  ___\\                /    /  ___\\          \\        /                              2                                2     /     /    /    /  ___\\                /    /  ___\\          \\      /                              2                                2     /     /    /    /  ___\\                /    /  ___\\          \\        /                              2                                2     /     /    /    /  ___\\                /    /  ___\\          \\        /                             2                               2     /     /             /    /  ___\\               /    /  ___\\\\        /                             2                               2     /     /             /    /  ___\\               /    /  ___\\\\      /                             2                               2     /     /             /    /  ___\\               /    /  ___\\\\        /                             2                               2     /     /             /    /  ___\\               /    /  ___\\\\        /                              2                                   2     /     /    /    /  ___\\                   /    /  ___\\          \\        /                              2                                   2     /     /    /    /  ___\\                   /    /  ___\\          \\      /                              2                                   2     /     /    /    /  ___\\                   /    /  ___\\          \\        /                              2                                   2     /     /    /    /  ___\\                   /    /  ___\\          \\        /                             2                                   2     /     /             /    /  ___\\                   /    /  ___\\\\        /                             2                                   2     /     /             /    /  ___\\                   /    /  ___\\\\      /                             2                                   2     /     /             /    /  ___\\                   /    /  ___\\\\        /                             2                                   2     /     /             /    /  ___\\                   /    /  ___\\\\
  4 /  /    /    /  ___\\          \    /    /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), - re\asin\\/ 5 // - 3*re(x)/|     4 /  /    /    /  ___\\          \    /    /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), - re\asin\\/ 5 // - 3*re(x)/|   4 /  /    /    /  ___\\          \    /    /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), - re\asin\\/ 5 // - 3*re(x)/|     4 /  /    /    /  ___\\          \    /    /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), - re\asin\\/ 5 // - 3*re(x)/|     4 /  /             /    /  ___\\\    /             /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, -3*re(x) + re\asin\\/ 5 ///|     4 /  /             /    /  ___\\\    /             /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, -3*re(x) + re\asin\\/ 5 ///|   4 /  /             /    /  ___\\\    /             /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, -3*re(x) + re\asin\\/ 5 ///|     4 /  /             /    /  ___\\\    /             /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, -3*re(x) + re\asin\\/ 5 ///|     4 /  /    /    /  ___\\          \    /       /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), pi - re\asin\\/ 5 // - 3*re(x)/|     4 /  /    /    /  ___\\          \    /       /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), pi - re\asin\\/ 5 // - 3*re(x)/|   4 /  /    /    /  ___\\          \    /       /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), pi - re\asin\\/ 5 // - 3*re(x)/|     4 /  /    /    /  ___\\          \    /       /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), pi - re\asin\\/ 5 // - 3*re(x)/|     4 /  /             /    /  ___\\\    /                 /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, pi - 3*re(x) + re\asin\\/ 5 ///|     4 /  /             /    /  ___\\\    /                 /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, pi - 3*re(x) + re\asin\\/ 5 ///|   4 /  /             /    /  ___\\\    /                 /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, pi - 3*re(x) + re\asin\\/ 5 ///|     4 /  /             /    /  ___\\\    /                 /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, pi - 3*re(x) + re\asin\\/ 5 ///|
- \/   \- im\asin\\/ 5 // - 3*im(x)/  + \- re\asin\\/ 5 // - 3*re(x)/  *cos|---------------------------------------------------------------| - I*\/   \- im\asin\\/ 5 // - 3*im(x)/  + \- re\asin\\/ 5 // - 3*re(x)/  *sin|---------------------------------------------------------------| + \/   \- im\asin\\/ 5 // - 3*im(x)/  + \- re\asin\\/ 5 // - 3*re(x)/  *cos|---------------------------------------------------------------| + I*\/   \- im\asin\\/ 5 // - 3*im(x)/  + \- re\asin\\/ 5 // - 3*re(x)/  *sin|---------------------------------------------------------------| + - \/   \-3*im(x) + im\asin\\/ 5 ///  + \-3*re(x) + re\asin\\/ 5 ///  *cos|-------------------------------------------------------------| - I*\/   \-3*im(x) + im\asin\\/ 5 ///  + \-3*re(x) + re\asin\\/ 5 ///  *sin|-------------------------------------------------------------| + \/   \-3*im(x) + im\asin\\/ 5 ///  + \-3*re(x) + re\asin\\/ 5 ///  *cos|-------------------------------------------------------------| + I*\/   \-3*im(x) + im\asin\\/ 5 ///  + \-3*re(x) + re\asin\\/ 5 ///  *sin|-------------------------------------------------------------| + - \/   \- im\asin\\/ 5 // - 3*im(x)/  + \pi - re\asin\\/ 5 // - 3*re(x)/  *cos|------------------------------------------------------------------| - I*\/   \- im\asin\\/ 5 // - 3*im(x)/  + \pi - re\asin\\/ 5 // - 3*re(x)/  *sin|------------------------------------------------------------------| + \/   \- im\asin\\/ 5 // - 3*im(x)/  + \pi - re\asin\\/ 5 // - 3*re(x)/  *cos|------------------------------------------------------------------| + I*\/   \- im\asin\\/ 5 // - 3*im(x)/  + \pi - re\asin\\/ 5 // - 3*re(x)/  *sin|------------------------------------------------------------------| + - \/   \-3*im(x) + im\asin\\/ 5 ///  + \pi - 3*re(x) + re\asin\\/ 5 ///  *cos|-----------------------------------------------------------------| - I*\/   \-3*im(x) + im\asin\\/ 5 ///  + \pi - 3*re(x) + re\asin\\/ 5 ///  *sin|-----------------------------------------------------------------| + \/   \-3*im(x) + im\asin\\/ 5 ///  + \pi - 3*re(x) + re\asin\\/ 5 ///  *cos|-----------------------------------------------------------------| + I*\/   \-3*im(x) + im\asin\\/ 5 ///  + \pi - 3*re(x) + re\asin\\/ 5 ///  *sin|-----------------------------------------------------------------|
                                                                           \                               2                               /                                                                              \                               2                               /                                                                            \                               2                               /                                                                              \                               2                               /                                                                            \                              2                              /                                                                            \                              2                              /                                                                          \                              2                              /                                                                            \                              2                              /                                                                                 \                                2                                 /                                                                                 \                                2                                 /                                                                               \                                2                                 /                                                                                 \                                2                                 /                                                                                \                                2                                /                                                                                \                                2                                /                                                                              \                                2                                /                                                                                \                                2                                /

$$\left(i \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)} + \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)}\right) + \left(\left(- i \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)} - \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)}\right) + \left(\left(i \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)} + \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)}\right) + \left(\left(- i \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)} - \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)}\right) + \left(\left(i \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)} + \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)}\right) + \left(\left(- i \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)} - \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)}\right) + \left(\left(- i \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)} - \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)}\right) + \left(i \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)} + \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)}\right)\right)\right)\right)\right)\right)\right)$$

$$0$$

producto

/      _________________________________________________________________                                                                              _________________________________________________________________                                                                     \ /    _________________________________________________________________                                                                              _________________________________________________________________                                                                     \ /      _______________________________________________________________                                                                            _______________________________________________________________                                                                   \ /    _______________________________________________________________                                                                            _______________________________________________________________                                                                   \ /      ____________________________________________________________________                                                                                 ____________________________________________________________________                                                                        \ /    ____________________________________________________________________                                                                                 ____________________________________________________________________                                                                        \ /      ___________________________________________________________________                                                                                ___________________________________________________________________                                                                       \ /    ___________________________________________________________________                                                                                ___________________________________________________________________                                                                       \
|     /                              2                                2     /     /    /    /  ___\\                /    /  ___\\          \\        /                              2                                2     /     /    /    /  ___\\                /    /  ___\\          \\| |   /                              2                                2     /     /    /    /  ___\\                /    /  ___\\          \\        /                              2                                2     /     /    /    /  ___\\                /    /  ___\\          \\| |     /                             2                               2     /     /             /    /  ___\\               /    /  ___\\\\        /                             2                               2     /     /             /    /  ___\\               /    /  ___\\\\| |   /                             2                               2     /     /             /    /  ___\\               /    /  ___\\\\        /                             2                               2     /     /             /    /  ___\\               /    /  ___\\\\| |     /                              2                                   2     /     /    /    /  ___\\                   /    /  ___\\          \\        /                              2                                   2     /     /    /    /  ___\\                   /    /  ___\\          \\| |   /                              2                                   2     /     /    /    /  ___\\                   /    /  ___\\          \\        /                              2                                   2     /     /    /    /  ___\\                   /    /  ___\\          \\| |     /                             2                                   2     /     /             /    /  ___\\                   /    /  ___\\\\        /                             2                                   2     /     /             /    /  ___\\                   /    /  ___\\\\| |   /                             2                                   2     /     /             /    /  ___\\                   /    /  ___\\\\        /                             2                                   2     /     /             /    /  ___\\                   /    /  ___\\\\|
|  4 /  /    /    /  ___\\          \    /    /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), - re\asin\\/ 5 // - 3*re(x)/|     4 /  /    /    /  ___\\          \    /    /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), - re\asin\\/ 5 // - 3*re(x)/|| |4 /  /    /    /  ___\\          \    /    /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), - re\asin\\/ 5 // - 3*re(x)/|     4 /  /    /    /  ___\\          \    /    /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), - re\asin\\/ 5 // - 3*re(x)/|| |  4 /  /             /    /  ___\\\    /             /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, -3*re(x) + re\asin\\/ 5 ///|     4 /  /             /    /  ___\\\    /             /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, -3*re(x) + re\asin\\/ 5 ///|| |4 /  /             /    /  ___\\\    /             /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, -3*re(x) + re\asin\\/ 5 ///|     4 /  /             /    /  ___\\\    /             /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, -3*re(x) + re\asin\\/ 5 ///|| |  4 /  /    /    /  ___\\          \    /       /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), pi - re\asin\\/ 5 // - 3*re(x)/|     4 /  /    /    /  ___\\          \    /       /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), pi - re\asin\\/ 5 // - 3*re(x)/|| |4 /  /    /    /  ___\\          \    /       /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), pi - re\asin\\/ 5 // - 3*re(x)/|     4 /  /    /    /  ___\\          \    /       /    /  ___\\          \      |atan2\- im\asin\\/ 5 // - 3*im(x), pi - re\asin\\/ 5 // - 3*re(x)/|| |  4 /  /             /    /  ___\\\    /                 /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, pi - 3*re(x) + re\asin\\/ 5 ///|     4 /  /             /    /  ___\\\    /                 /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, pi - 3*re(x) + re\asin\\/ 5 ///|| |4 /  /             /    /  ___\\\    /                 /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, pi - 3*re(x) + re\asin\\/ 5 ///|     4 /  /             /    /  ___\\\    /                 /    /  ___\\\      |atan2\-3*im(x) + im\asin\\/ 5 //, pi - 3*re(x) + re\asin\\/ 5 ///||
|- \/   \- im\asin\\/ 5 // - 3*im(x)/  + \- re\asin\\/ 5 // - 3*re(x)/  *cos|---------------------------------------------------------------| - I*\/   \- im\asin\\/ 5 // - 3*im(x)/  + \- re\asin\\/ 5 // - 3*re(x)/  *sin|---------------------------------------------------------------||*|\/   \- im\asin\\/ 5 // - 3*im(x)/  + \- re\asin\\/ 5 // - 3*re(x)/  *cos|---------------------------------------------------------------| + I*\/   \- im\asin\\/ 5 // - 3*im(x)/  + \- re\asin\\/ 5 // - 3*re(x)/  *sin|---------------------------------------------------------------||*|- \/   \-3*im(x) + im\asin\\/ 5 ///  + \-3*re(x) + re\asin\\/ 5 ///  *cos|-------------------------------------------------------------| - I*\/   \-3*im(x) + im\asin\\/ 5 ///  + \-3*re(x) + re\asin\\/ 5 ///  *sin|-------------------------------------------------------------||*|\/   \-3*im(x) + im\asin\\/ 5 ///  + \-3*re(x) + re\asin\\/ 5 ///  *cos|-------------------------------------------------------------| + I*\/   \-3*im(x) + im\asin\\/ 5 ///  + \-3*re(x) + re\asin\\/ 5 ///  *sin|-------------------------------------------------------------||*|- \/   \- im\asin\\/ 5 // - 3*im(x)/  + \pi - re\asin\\/ 5 // - 3*re(x)/  *cos|------------------------------------------------------------------| - I*\/   \- im\asin\\/ 5 // - 3*im(x)/  + \pi - re\asin\\/ 5 // - 3*re(x)/  *sin|------------------------------------------------------------------||*|\/   \- im\asin\\/ 5 // - 3*im(x)/  + \pi - re\asin\\/ 5 // - 3*re(x)/  *cos|------------------------------------------------------------------| + I*\/   \- im\asin\\/ 5 // - 3*im(x)/  + \pi - re\asin\\/ 5 // - 3*re(x)/  *sin|------------------------------------------------------------------||*|- \/   \-3*im(x) + im\asin\\/ 5 ///  + \pi - 3*re(x) + re\asin\\/ 5 ///  *cos|-----------------------------------------------------------------| - I*\/   \-3*im(x) + im\asin\\/ 5 ///  + \pi - 3*re(x) + re\asin\\/ 5 ///  *sin|-----------------------------------------------------------------||*|\/   \-3*im(x) + im\asin\\/ 5 ///  + \pi - 3*re(x) + re\asin\\/ 5 ///  *cos|-----------------------------------------------------------------| + I*\/   \-3*im(x) + im\asin\\/ 5 ///  + \pi - 3*re(x) + re\asin\\/ 5 ///  *sin|-----------------------------------------------------------------||
\                                                                           \                               2                               /                                                                              \                               2                               // \                                                                         \                               2                               /                                                                              \                               2                               // \                                                                         \                              2                              /                                                                            \                              2                              // \                                                                       \                              2                              /                                                                            \                              2                              // \                                                                              \                                2                                 /                                                                                 \                                2                                 // \                                                                            \                                2                                 /                                                                                 \                                2                                 // \                                                                             \                                2                                /                                                                                \                                2                                // \                                                                           \                                2                                /                                                                                \                                2                                //

$$\left(- i \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)} - \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)}\right) \left(i \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)} + \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)}\right) \left(- i \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)} - \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)}\right) \left(i \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)} + \sqrt[4]{\left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)}}{2} \right)}\right) \left(- i \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)} - \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)}\right) \left(i \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)} + \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)}\right) \left(- i \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)} - \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)}\right) \left(i \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)} + \sqrt[4]{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}{2} \right)}\right)$$

    _________________________________________________________________     ____________________________________________________________________     _____________________________________________________________     ___________________________________________________________________                                                                                                                                                                                                                                                                                  
   /                              2                                2     /                              2                                   2     /                            2                              2     /                            2                                    2          /    /    /  ___\\                /    /  ___\\          \          /    /    /  ___\\                   /    /  ___\\          \          /             /    /  ___\\               /    /  ___\\\          /             /    /  ___\\                   /    /  ___\\\
  /  /    /    /  ___\\          \    /    /    /  ___\\          \     /  /    /    /  ___\\          \    /                 /    /  ___\\\     /  /            /    /  ___\\\    /            /    /  ___\\\     /  /            /    /  ___\\\    /                  /    /  ___\\\    I*atan2\- im\asin\\/ 5 // - 3*im(x), - re\asin\\/ 5 // - 3*re(x)/ + I*atan2\- im\asin\\/ 5 // - 3*im(x), pi - re\asin\\/ 5 // - 3*re(x)/ + I*atan2\-3*im(x) + im\asin\\/ 5 //, -3*re(x) + re\asin\\/ 5 /// + I*atan2\-3*im(x) + im\asin\\/ 5 //, pi - 3*re(x) + re\asin\\/ 5 ///
\/   \- im\asin\\/ 5 // + 3*im(x)/  + \- re\asin\\/ 5 // + 3*re(x)/  *\/   \- im\asin\\/ 5 // + 3*im(x)/  + \pi - 3*re(x) + re\asin\\/ 5 ///  *\/   \3*im(x) + im\asin\\/ 5 ///  + \3*re(x) + re\asin\\/ 5 ///  *\/   \3*im(x) + im\asin\\/ 5 ///  + \-pi + 3*re(x) + re\asin\\/ 5 ///  *e

$$\sqrt{\left(3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \sqrt{\left(3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} \sqrt{\left(3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi\right)^{2}} \sqrt{\left(3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2} + \left(3 \operatorname{re}{\left(x\right)} - \pi + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)}\right)^{2}} e^{i \operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)} + i \operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)} + i \operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} \right)} + i \operatorname{atan_{2}}{\left(- 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)},- 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{5} \right)}\right)} + \pi \right)}}$$

sqrt((-im(asin(sqrt(5))) + 3*im(x))^2 + (-re(asin(sqrt(5))) + 3*re(x))^2)*sqrt((-im(asin(sqrt(5))) + 3*im(x))^2 + (pi - 3*re(x) + re(asin(sqrt(5))))^2)*sqrt((3*im(x) + im(asin(sqrt(5))))^2 + (3*re(x) + re(asin(sqrt(5))))^2)*sqrt((3*im(x) + im(asin(sqrt(5))))^2 + (-pi + 3*re(x) + re(asin(sqrt(5))))^2)*exp(i*atan2(-im(asin(sqrt(5))) - 3*im(x), -re(asin(sqrt(5))) - 3*re(x)) + i*atan2(-im(asin(sqrt(5))) - 3*im(x), pi - re(asin(sqrt(5))) - 3*re(x)) + i*atan2(-3*im(x) + im(asin(sqrt(5))), -3*re(x) + re(asin(sqrt(5)))) + i*atan2(-3*im(x) + im(asin(sqrt(5))), pi - 3*re(x) + re(asin(sqrt(5)))))

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

sin(3*x+y^2)^2=5 la ecuación

Solución numérica:

Solución