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y=ax^3+bx^2+cx+d la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
       3      2          
y = a*x  + b*x  + c*x + d
$$y = d + \left(c x + \left(a x^{3} + b x^{2}\right)\right)$$
Solución detallada
Tenemos una ecuación lineal:
y = a*x^3+b*x^2+c*x+d

Obtenemos la respuesta: y = d + a*x^3 + b*x^2 + c*x
Gráfica
Respuesta rápida [src]
       /          /   3\     /   2\          \             /   3\     /   2\          
y1 = I*\im(d) + im\a*x / + im\b*x / + im(c*x)/ + re(d) + re\a*x / + re\b*x / + re(c*x)
$$y_{1} = i \left(\operatorname{im}{\left(d\right)} + \operatorname{im}{\left(a x^{3}\right)} + \operatorname{im}{\left(b x^{2}\right)} + \operatorname{im}{\left(c x\right)}\right) + \operatorname{re}{\left(d\right)} + \operatorname{re}{\left(a x^{3}\right)} + \operatorname{re}{\left(b x^{2}\right)} + \operatorname{re}{\left(c x\right)}$$
y1 = i*(im(d) + im(a*x^3) + im(b*x^2) + im(c*x)) + re(d) + re(a*x^3) + re(b*x^2) + re(c*x)
Suma y producto de raíces [src]
suma
  /          /   3\     /   2\          \             /   3\     /   2\          
I*\im(d) + im\a*x / + im\b*x / + im(c*x)/ + re(d) + re\a*x / + re\b*x / + re(c*x)
$$i \left(\operatorname{im}{\left(d\right)} + \operatorname{im}{\left(a x^{3}\right)} + \operatorname{im}{\left(b x^{2}\right)} + \operatorname{im}{\left(c x\right)}\right) + \operatorname{re}{\left(d\right)} + \operatorname{re}{\left(a x^{3}\right)} + \operatorname{re}{\left(b x^{2}\right)} + \operatorname{re}{\left(c x\right)}$$
=
  /          /   3\     /   2\          \             /   3\     /   2\          
I*\im(d) + im\a*x / + im\b*x / + im(c*x)/ + re(d) + re\a*x / + re\b*x / + re(c*x)
$$i \left(\operatorname{im}{\left(d\right)} + \operatorname{im}{\left(a x^{3}\right)} + \operatorname{im}{\left(b x^{2}\right)} + \operatorname{im}{\left(c x\right)}\right) + \operatorname{re}{\left(d\right)} + \operatorname{re}{\left(a x^{3}\right)} + \operatorname{re}{\left(b x^{2}\right)} + \operatorname{re}{\left(c x\right)}$$
producto
  /          /   3\     /   2\          \             /   3\     /   2\          
I*\im(d) + im\a*x / + im\b*x / + im(c*x)/ + re(d) + re\a*x / + re\b*x / + re(c*x)
$$i \left(\operatorname{im}{\left(d\right)} + \operatorname{im}{\left(a x^{3}\right)} + \operatorname{im}{\left(b x^{2}\right)} + \operatorname{im}{\left(c x\right)}\right) + \operatorname{re}{\left(d\right)} + \operatorname{re}{\left(a x^{3}\right)} + \operatorname{re}{\left(b x^{2}\right)} + \operatorname{re}{\left(c x\right)}$$
=
  /          /   3\     /   2\          \             /   3\     /   2\          
I*\im(d) + im\a*x / + im\b*x / + im(c*x)/ + re(d) + re\a*x / + re\b*x / + re(c*x)
$$i \left(\operatorname{im}{\left(d\right)} + \operatorname{im}{\left(a x^{3}\right)} + \operatorname{im}{\left(b x^{2}\right)} + \operatorname{im}{\left(c x\right)}\right) + \operatorname{re}{\left(d\right)} + \operatorname{re}{\left(a x^{3}\right)} + \operatorname{re}{\left(b x^{2}\right)} + \operatorname{re}{\left(c x\right)}$$
i*(im(d) + im(a*x^3) + im(b*x^2) + im(c*x)) + re(d) + re(a*x^3) + re(b*x^2) + re(c*x)