Suma y producto de raíces
[src]
/2*re(x3)\ /2*im(x3)\
sin|--------| I*sinh|--------|
\ 3 / \ 3 /
------------------------------ + ------------------------------
/2*re(x3)\ /2*im(x3)\ /2*re(x3)\ /2*im(x3)\
cos|--------| + cosh|--------| cos|--------| + cosh|--------|
\ 3 / \ 3 / \ 3 / \ 3 /
$$\frac{\sin{\left(\frac{2 \operatorname{re}{\left(x_{3}\right)}}{3} \right)}}{\cos{\left(\frac{2 \operatorname{re}{\left(x_{3}\right)}}{3} \right)} + \cosh{\left(\frac{2 \operatorname{im}{\left(x_{3}\right)}}{3} \right)}} + \frac{i \sinh{\left(\frac{2 \operatorname{im}{\left(x_{3}\right)}}{3} \right)}}{\cos{\left(\frac{2 \operatorname{re}{\left(x_{3}\right)}}{3} \right)} + \cosh{\left(\frac{2 \operatorname{im}{\left(x_{3}\right)}}{3} \right)}}$$
/2*re(x3)\ /2*im(x3)\
sin|--------| I*sinh|--------|
\ 3 / \ 3 /
------------------------------ + ------------------------------
/2*re(x3)\ /2*im(x3)\ /2*re(x3)\ /2*im(x3)\
cos|--------| + cosh|--------| cos|--------| + cosh|--------|
\ 3 / \ 3 / \ 3 / \ 3 /
$$\frac{\sin{\left(\frac{2 \operatorname{re}{\left(x_{3}\right)}}{3} \right)}}{\cos{\left(\frac{2 \operatorname{re}{\left(x_{3}\right)}}{3} \right)} + \cosh{\left(\frac{2 \operatorname{im}{\left(x_{3}\right)}}{3} \right)}} + \frac{i \sinh{\left(\frac{2 \operatorname{im}{\left(x_{3}\right)}}{3} \right)}}{\cos{\left(\frac{2 \operatorname{re}{\left(x_{3}\right)}}{3} \right)} + \cosh{\left(\frac{2 \operatorname{im}{\left(x_{3}\right)}}{3} \right)}}$$
/2*re(x3)\ /2*im(x3)\
sin|--------| I*sinh|--------|
\ 3 / \ 3 /
------------------------------ + ------------------------------
/2*re(x3)\ /2*im(x3)\ /2*re(x3)\ /2*im(x3)\
cos|--------| + cosh|--------| cos|--------| + cosh|--------|
\ 3 / \ 3 / \ 3 / \ 3 /
$$\frac{\sin{\left(\frac{2 \operatorname{re}{\left(x_{3}\right)}}{3} \right)}}{\cos{\left(\frac{2 \operatorname{re}{\left(x_{3}\right)}}{3} \right)} + \cosh{\left(\frac{2 \operatorname{im}{\left(x_{3}\right)}}{3} \right)}} + \frac{i \sinh{\left(\frac{2 \operatorname{im}{\left(x_{3}\right)}}{3} \right)}}{\cos{\left(\frac{2 \operatorname{re}{\left(x_{3}\right)}}{3} \right)} + \cosh{\left(\frac{2 \operatorname{im}{\left(x_{3}\right)}}{3} \right)}}$$
/2*im(x3)\ /2*re(x3)\
I*sinh|--------| + sin|--------|
\ 3 / \ 3 /
--------------------------------
/2*re(x3)\ /2*im(x3)\
cos|--------| + cosh|--------|
\ 3 / \ 3 /
$$\frac{\sin{\left(\frac{2 \operatorname{re}{\left(x_{3}\right)}}{3} \right)} + i \sinh{\left(\frac{2 \operatorname{im}{\left(x_{3}\right)}}{3} \right)}}{\cos{\left(\frac{2 \operatorname{re}{\left(x_{3}\right)}}{3} \right)} + \cosh{\left(\frac{2 \operatorname{im}{\left(x_{3}\right)}}{3} \right)}}$$
(i*sinh(2*im(x3)/3) + sin(2*re(x3)/3))/(cos(2*re(x3)/3) + cosh(2*im(x3)/3))
/2*re(x3)\ /2*im(x3)\
sin|--------| I*sinh|--------|
\ 3 / \ 3 /
x1 = ------------------------------ + ------------------------------
/2*re(x3)\ /2*im(x3)\ /2*re(x3)\ /2*im(x3)\
cos|--------| + cosh|--------| cos|--------| + cosh|--------|
\ 3 / \ 3 / \ 3 / \ 3 /
$$x_{1} = \frac{\sin{\left(\frac{2 \operatorname{re}{\left(x_{3}\right)}}{3} \right)}}{\cos{\left(\frac{2 \operatorname{re}{\left(x_{3}\right)}}{3} \right)} + \cosh{\left(\frac{2 \operatorname{im}{\left(x_{3}\right)}}{3} \right)}} + \frac{i \sinh{\left(\frac{2 \operatorname{im}{\left(x_{3}\right)}}{3} \right)}}{\cos{\left(\frac{2 \operatorname{re}{\left(x_{3}\right)}}{3} \right)} + \cosh{\left(\frac{2 \operatorname{im}{\left(x_{3}\right)}}{3} \right)}}$$
x1 = sin(2*re(x3)/3)/(cos(2*re(x3)/3) + cosh(2*im(x3)/3)) + i*sinh(2*im(x3)/3)/(cos(2*re(x3)/3) + cosh(2*im(x3)/3))