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U=tg(5*x)/y^3-2sin^1/2*(z) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
    tan(5*x)       ________
u = -------- - 2*\/ sin(z) 
        3                  
       y                   
$$u = - 2 \sqrt{\sin{\left(z \right)}} + \frac{\tan{\left(5 x \right)}}{y^{3}}$$
Gráfica
Respuesta rápida [src]
            /    /                  2\\       /    /                  2\\
            |    |/               3\ ||       |    |/               3\ ||
            |    |\-tan(5*x) + u*y / ||       |    |\-tan(5*x) + u*y / ||
z1 = pi - re|asin|-------------------|| - I*im|asin|-------------------||
            |    |           6       ||       |    |           6       ||
            \    \        4*y        //       \    \        4*y        //
$$z_{1} = - \operatorname{re}{\left(\operatorname{asin}{\left(\frac{\left(u y^{3} - \tan{\left(5 x \right)}\right)^{2}}{4 y^{6}} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\left(u y^{3} - \tan{\left(5 x \right)}\right)^{2}}{4 y^{6}} \right)}\right)} + \pi$$
         /    /                  2\\     /    /                  2\\
         |    |/               3\ ||     |    |/               3\ ||
         |    |\-tan(5*x) + u*y / ||     |    |\-tan(5*x) + u*y / ||
z2 = I*im|asin|-------------------|| + re|asin|-------------------||
         |    |           6       ||     |    |           6       ||
         \    \        4*y        //     \    \        4*y        //
$$z_{2} = \operatorname{re}{\left(\operatorname{asin}{\left(\frac{\left(u y^{3} - \tan{\left(5 x \right)}\right)^{2}}{4 y^{6}} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\left(u y^{3} - \tan{\left(5 x \right)}\right)^{2}}{4 y^{6}} \right)}\right)}$$
z2 = re(asin((u*y^3 - tan(5*x))^2/(4*y^6))) + i*im(asin((u*y^3 - tan(5*x))^2/(4*y^6)))
Suma y producto de raíces [src]
suma
       /    /                  2\\       /    /                  2\\       /    /                  2\\     /    /                  2\\
       |    |/               3\ ||       |    |/               3\ ||       |    |/               3\ ||     |    |/               3\ ||
       |    |\-tan(5*x) + u*y / ||       |    |\-tan(5*x) + u*y / ||       |    |\-tan(5*x) + u*y / ||     |    |\-tan(5*x) + u*y / ||
pi - re|asin|-------------------|| - I*im|asin|-------------------|| + I*im|asin|-------------------|| + re|asin|-------------------||
       |    |           6       ||       |    |           6       ||       |    |           6       ||     |    |           6       ||
       \    \        4*y        //       \    \        4*y        //       \    \        4*y        //     \    \        4*y        //
$$\left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{\left(u y^{3} - \tan{\left(5 x \right)}\right)^{2}}{4 y^{6}} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\left(u y^{3} - \tan{\left(5 x \right)}\right)^{2}}{4 y^{6}} \right)}\right)}\right) + \left(- \operatorname{re}{\left(\operatorname{asin}{\left(\frac{\left(u y^{3} - \tan{\left(5 x \right)}\right)^{2}}{4 y^{6}} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\left(u y^{3} - \tan{\left(5 x \right)}\right)^{2}}{4 y^{6}} \right)}\right)} + \pi\right)$$
=
pi
$$\pi$$
producto
/       /    /                  2\\       /    /                  2\\\ /    /    /                  2\\     /    /                  2\\\
|       |    |/               3\ ||       |    |/               3\ ||| |    |    |/               3\ ||     |    |/               3\ |||
|       |    |\-tan(5*x) + u*y / ||       |    |\-tan(5*x) + u*y / ||| |    |    |\-tan(5*x) + u*y / ||     |    |\-tan(5*x) + u*y / |||
|pi - re|asin|-------------------|| - I*im|asin|-------------------|||*|I*im|asin|-------------------|| + re|asin|-------------------|||
|       |    |           6       ||       |    |           6       ||| |    |    |           6       ||     |    |           6       |||
\       \    \        4*y        //       \    \        4*y        /// \    \    \        4*y        //     \    \        4*y        ///
$$\left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{\left(u y^{3} - \tan{\left(5 x \right)}\right)^{2}}{4 y^{6}} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\left(u y^{3} - \tan{\left(5 x \right)}\right)^{2}}{4 y^{6}} \right)}\right)}\right) \left(- \operatorname{re}{\left(\operatorname{asin}{\left(\frac{\left(u y^{3} - \tan{\left(5 x \right)}\right)^{2}}{4 y^{6}} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\left(u y^{3} - \tan{\left(5 x \right)}\right)^{2}}{4 y^{6}} \right)}\right)} + \pi\right)$$
=
 /    /    /                  2\\     /    /                  2\\\ /          /    /                  2\\     /    /                  2\\\
 |    |    |/               3\ ||     |    |/               3\ ||| |          |    |/               3\ ||     |    |/               3\ |||
 |    |    |\-tan(5*x) + u*y / ||     |    |\-tan(5*x) + u*y / ||| |          |    |\-tan(5*x) + u*y / ||     |    |\-tan(5*x) + u*y / |||
-|I*im|asin|-------------------|| + re|asin|-------------------|||*|-pi + I*im|asin|-------------------|| + re|asin|-------------------|||
 |    |    |           6       ||     |    |           6       ||| |          |    |           6       ||     |    |           6       |||
 \    \    \        4*y        //     \    \        4*y        /// \          \    \        4*y        //     \    \        4*y        ///
$$- \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{\left(u y^{3} - \tan{\left(5 x \right)}\right)^{2}}{4 y^{6}} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\left(u y^{3} - \tan{\left(5 x \right)}\right)^{2}}{4 y^{6}} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{\left(u y^{3} - \tan{\left(5 x \right)}\right)^{2}}{4 y^{6}} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\left(u y^{3} - \tan{\left(5 x \right)}\right)^{2}}{4 y^{6}} \right)}\right)} - \pi\right)$$
-(i*im(asin((-tan(5*x) + u*y^3)^2/(4*y^6))) + re(asin((-tan(5*x) + u*y^3)^2/(4*y^6))))*(-pi + i*im(asin((-tan(5*x) + u*y^3)^2/(4*y^6))) + re(asin((-tan(5*x) + u*y^3)^2/(4*y^6))))