U=tg(5*x)/y^3-2sin^1/2*(z) la ecuación
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Solución
/ / 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]
/ / 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 //
$$\left(\operatorname{re}{\left(\operatorname{asin}{\left(\frac{\left(u y^{3} - \tan{\left(5 x \right)}\right)^{2}}{4 y^{6}} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\left(u y^{3} - \tan{\left(5 x \right)}\right)^{2}}{4 y^{6}} \right)}\right)}\right) + \left(- \operatorname{re}{\left(\operatorname{asin}{\left(\frac{\left(u y^{3} - \tan{\left(5 x \right)}\right)^{2}}{4 y^{6}} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\frac{\left(u y^{3} - \tan{\left(5 x \right)}\right)^{2}}{4 y^{6}} \right)}\right)} + \pi\right)$$
$$\pi$$
/ / / 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))))