(x+xy)^y la ecuación
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Solución
/y ___\ /y ___\
|\/ 0 | |\/ 0 |
x1 = I*im|-----| + re|-----|
\1 + y/ \1 + y/
$$x_{1} = \operatorname{re}{\left(\frac{0^{\frac{1}{y}}}{y + 1}\right)} + i \operatorname{im}{\left(\frac{0^{\frac{1}{y}}}{y + 1}\right)}$$
x1 = re(0^(1/y)/(y + 1)) + i*im(0^(1/y)/(y + 1))
Suma y producto de raíces
[src]
/y ___\ /y ___\
|\/ 0 | |\/ 0 |
I*im|-----| + re|-----|
\1 + y/ \1 + y/
$$\operatorname{re}{\left(\frac{0^{\frac{1}{y}}}{y + 1}\right)} + i \operatorname{im}{\left(\frac{0^{\frac{1}{y}}}{y + 1}\right)}$$
/y ___\ /y ___\
|\/ 0 | |\/ 0 |
I*im|-----| + re|-----|
\1 + y/ \1 + y/
$$\operatorname{re}{\left(\frac{0^{\frac{1}{y}}}{y + 1}\right)} + i \operatorname{im}{\left(\frac{0^{\frac{1}{y}}}{y + 1}\right)}$$
/y ___\ /y ___\
|\/ 0 | |\/ 0 |
I*im|-----| + re|-----|
\1 + y/ \1 + y/
$$\operatorname{re}{\left(\frac{0^{\frac{1}{y}}}{y + 1}\right)} + i \operatorname{im}{\left(\frac{0^{\frac{1}{y}}}{y + 1}\right)}$$
/y ___\ /y ___\
|\/ 0 | |\/ 0 |
I*im|-----| + re|-----|
\1 + y/ \1 + y/
$$\operatorname{re}{\left(\frac{0^{\frac{1}{y}}}{y + 1}\right)} + i \operatorname{im}{\left(\frac{0^{\frac{1}{y}}}{y + 1}\right)}$$
i*im(0^(1/y)/(1 + y)) + re(0^(1/y)/(1 + y))