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y^m=4*e^(7*x)+2*x^3 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
 m      7*x      3
y  = 4*E    + 2*x 
$$y^{m} = 2 x^{3} + 4 e^{7 x}$$
Gráfica
Respuesta rápida [src]
         /   _______________\     /   _______________\
         |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]
suma
    /   _______________\     /   _______________\
    |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    /
$$\operatorname{re}{\left(\left(2 x^{3} + 4 e^{7 x}\right)^{\frac{1}{m}}\right)} + i \operatorname{im}{\left(\left(2 x^{3} + 4 e^{7 x}\right)^{\frac{1}{m}}\right)}$$
producto
    /   _______________\     /   _______________\
    |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))