Suma y producto de raíces
[src]
/ / 2 2 \ \ / 2 2 \
| |re (x) im (x)| | |re (x) im (x)|
I*|- |------ - ------|*im(x*log(x)) + (1 - re(x*log(x)))*im(x)*re(x)| + (1 - re(x*log(x)))*|------ - ------| + im(x)*im(x*log(x))*re(x)
\ \ 2 2 / / \ 2 2 /
$$\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) + i \left(\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) \operatorname{im}{\left(x \log{\left(x \right)}\right)}\right) + \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(x \log{\left(x \right)}\right)}$$
/ / 2 2 \ \ / 2 2 \
| |re (x) im (x)| | |re (x) im (x)|
I*|- |------ - ------|*im(x*log(x)) + (1 - re(x*log(x)))*im(x)*re(x)| + (1 - re(x*log(x)))*|------ - ------| + im(x)*im(x*log(x))*re(x)
\ \ 2 2 / / \ 2 2 /
$$\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) + i \left(\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) \operatorname{im}{\left(x \log{\left(x \right)}\right)}\right) + \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(x \log{\left(x \right)}\right)}$$
/ / 2 2 \ \ / 2 2 \
| |re (x) im (x)| | |re (x) im (x)|
I*|- |------ - ------|*im(x*log(x)) + (1 - re(x*log(x)))*im(x)*re(x)| + (1 - re(x*log(x)))*|------ - ------| + im(x)*im(x*log(x))*re(x)
\ \ 2 2 / / \ 2 2 /
$$\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) + i \left(\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) \operatorname{im}{\left(x \log{\left(x \right)}\right)}\right) + \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(x \log{\left(x \right)}\right)}$$
// 2 2 \ \ / 2 2 \
|\re (x) - im (x)/*im(x*log(x)) | (-1 + re(x*log(x)))*\re (x) - im (x)/
- I*|------------------------------ + (-1 + re(x*log(x)))*im(x)*re(x)| - ------------------------------------- + im(x)*im(x*log(x))*re(x)
\ 2 / 2
$$- i \left(\frac{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}\right) \operatorname{im}{\left(x \log{\left(x \right)}\right)}}{2} + \left(\operatorname{re}{\left(x \log{\left(x \right)}\right)} - 1\right) \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)}\right) - \frac{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}\right) \left(\operatorname{re}{\left(x \log{\left(x \right)}\right)} - 1\right)}{2} + \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(x \log{\left(x \right)}\right)}$$
-i*((re(x)^2 - im(x)^2)*im(x*log(x))/2 + (-1 + re(x*log(x)))*im(x)*re(x)) - (-1 + re(x*log(x)))*(re(x)^2 - im(x)^2)/2 + im(x)*im(x*log(x))*re(x)
/ / 2 2 \ \ / 2 2 \
| |re (x) im (x)| | |re (x) im (x)|
y1 = I*|- |------ - ------|*im(x*log(x)) + (1 - re(x*log(x)))*im(x)*re(x)| + (1 - re(x*log(x)))*|------ - ------| + im(x)*im(x*log(x))*re(x)
\ \ 2 2 / / \ 2 2 /
$$y_{1} = \left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) + i \left(\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) \operatorname{im}{\left(x \log{\left(x \right)}\right)}\right) + \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(x \log{\left(x \right)}\right)}$$
y1 = (1 - re(x*log(x)))*(re(x)^2/2 - im(x)^2/2) + i*((1 - re(x*log(x)))*re(x)*im(x) - (re(x)^2/2 - im(x)^2/2)*im(x*log(x))) + re(x)*im(x)*im(x*log(x))