y^m=4*e^(7*x)+2*x^3 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
/ _______________\ / _______________\
|m / 3 7*x | |m / 3 7*x |
y1 = I*im\\/ 2*x + 4*e / + re\\/ 2*x + 4*e /
$$y_{1} = \operatorname{re}{\left(\left(2 x^{3} + 4 e^{7 x}\right)^{\frac{1}{m}}\right)} + i \operatorname{im}{\left(\left(2 x^{3} + 4 e^{7 x}\right)^{\frac{1}{m}}\right)}$$
y1 = re((2*x^3 + 4*exp(7*x))^(1/m)) + i*im((2*x^3 + 4*exp(7*x))^(1/m))
Suma y producto de raíces
[src]
/ _______________\ / _______________\
|m / 3 7*x | |m / 3 7*x |
I*im\\/ 2*x + 4*e / + re\\/ 2*x + 4*e /
$$\operatorname{re}{\left(\left(2 x^{3} + 4 e^{7 x}\right)^{\frac{1}{m}}\right)} + i \operatorname{im}{\left(\left(2 x^{3} + 4 e^{7 x}\right)^{\frac{1}{m}}\right)}$$
/ _______________\ / _______________\
|m / 3 7*x | |m / 3 7*x |
I*im\\/ 2*x + 4*e / + re\\/ 2*x + 4*e /
$$\operatorname{re}{\left(\left(2 x^{3} + 4 e^{7 x}\right)^{\frac{1}{m}}\right)} + i \operatorname{im}{\left(\left(2 x^{3} + 4 e^{7 x}\right)^{\frac{1}{m}}\right)}$$
/ _______________\ / _______________\
|m / 3 7*x | |m / 3 7*x |
I*im\\/ 2*x + 4*e / + re\\/ 2*x + 4*e /
$$\operatorname{re}{\left(\left(2 x^{3} + 4 e^{7 x}\right)^{\frac{1}{m}}\right)} + i \operatorname{im}{\left(\left(2 x^{3} + 4 e^{7 x}\right)^{\frac{1}{m}}\right)}$$
/ _______________\ / _______________\
|m / 3 7*x | |m / 3 7*x |
I*im\\/ 2*x + 4*e / + re\\/ 2*x + 4*e /
$$\operatorname{re}{\left(\left(2 x^{3} + 4 e^{7 x}\right)^{\frac{1}{m}}\right)} + i \operatorname{im}{\left(\left(2 x^{3} + 4 e^{7 x}\right)^{\frac{1}{m}}\right)}$$
i*im((2*x^3 + 4*exp(7*x))^(1/m)) + re((2*x^3 + 4*exp(7*x))^(1/m))