_______________________ _______________________
4 / 2 2 /atan2(im(x), 4 + re(x))\ 4 / 2 2 /atan2(im(x), 4 + re(x))\
a1 = 2 + \/ (4 + re(x)) + im (x) *cos|-----------------------| + I*\/ (4 + re(x)) + im (x) *sin|-----------------------|
\ 2 / \ 2 /
$$a_{1} = i \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 4 \right)}}{2} \right)} + 2$$
a1 = i*((re(x) + 4)^2 + im(x)^2)^(1/4)*sin(atan2(im(x, re(x) + 4)/2) + ((re(x) + 4)^2 + im(x)^2)^(1/4)*cos(atan2(im(x), re(x) + 4)/2) + 2)
Suma y producto de raíces
[src]
_______________________ _______________________
4 / 2 2 /atan2(im(x), 4 + re(x))\ 4 / 2 2 /atan2(im(x), 4 + re(x))\
2 + \/ (4 + re(x)) + im (x) *cos|-----------------------| + I*\/ (4 + re(x)) + im (x) *sin|-----------------------|
\ 2 / \ 2 /
$$i \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 4 \right)}}{2} \right)} + 2$$
_______________________ _______________________
4 / 2 2 /atan2(im(x), 4 + re(x))\ 4 / 2 2 /atan2(im(x), 4 + re(x))\
2 + \/ (4 + re(x)) + im (x) *cos|-----------------------| + I*\/ (4 + re(x)) + im (x) *sin|-----------------------|
\ 2 / \ 2 /
$$i \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 4 \right)}}{2} \right)} + 2$$
_______________________ _______________________
4 / 2 2 /atan2(im(x), 4 + re(x))\ 4 / 2 2 /atan2(im(x), 4 + re(x))\
2 + \/ (4 + re(x)) + im (x) *cos|-----------------------| + I*\/ (4 + re(x)) + im (x) *sin|-----------------------|
\ 2 / \ 2 /
$$i \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 4 \right)}}{2} \right)} + 2$$
_______________________ _______________________
4 / 2 2 /atan2(im(x), 4 + re(x))\ 4 / 2 2 /atan2(im(x), 4 + re(x))\
2 + \/ (4 + re(x)) + im (x) *cos|-----------------------| + I*\/ (4 + re(x)) + im (x) *sin|-----------------------|
\ 2 / \ 2 /
$$i \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(\operatorname{re}{\left(x\right)} + 4\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(x\right)},\operatorname{re}{\left(x\right)} + 4 \right)}}{2} \right)} + 2$$
2 + ((4 + re(x))^2 + im(x)^2)^(1/4)*cos(atan2(im(x), 4 + re(x))/2) + i*((4 + re(x))^2 + im(x)^2)^(1/4)*sin(atan2(im(x), 4 + re(x))/2)