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z=x^2+xy^2+xy+3x-5 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
     2      2                
z = x  + x*y  + x*y + 3*x - 5
$$z = \left(3 x + \left(x y + \left(x^{2} + x y^{2}\right)\right)\right) - 5$$
Solución detallada
Tenemos una ecuación lineal:
z = x^2+x*y^2+x*y+3*x-5

Obtenemos la respuesta: z = -5 + x^2 + 3*x + x*y + x*y^2
Gráfica
Suma y producto de raíces [src]
suma
       2        2                  /                                      /   2\\               /   2\
-5 + re (x) - im (x) + 3*re(x) + I*\3*im(x) + 2*im(x)*re(x) + im(x*y) + im\x*y // + re(x*y) + re\x*y /
$$i \left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} + 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(x y\right)} + \operatorname{im}{\left(x y^{2}\right)}\right) + \left(\operatorname{re}{\left(x\right)}\right)^{2} + 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(x y\right)} + \operatorname{re}{\left(x y^{2}\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 5$$
=
       2        2                  /                                      /   2\\               /   2\
-5 + re (x) - im (x) + 3*re(x) + I*\3*im(x) + 2*im(x)*re(x) + im(x*y) + im\x*y // + re(x*y) + re\x*y /
$$i \left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} + 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(x y\right)} + \operatorname{im}{\left(x y^{2}\right)}\right) + \left(\operatorname{re}{\left(x\right)}\right)^{2} + 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(x y\right)} + \operatorname{re}{\left(x y^{2}\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 5$$
producto
       2        2                  /                                      /   2\\               /   2\
-5 + re (x) - im (x) + 3*re(x) + I*\3*im(x) + 2*im(x)*re(x) + im(x*y) + im\x*y // + re(x*y) + re\x*y /
$$i \left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} + 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(x y\right)} + \operatorname{im}{\left(x y^{2}\right)}\right) + \left(\operatorname{re}{\left(x\right)}\right)^{2} + 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(x y\right)} + \operatorname{re}{\left(x y^{2}\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 5$$
=
       2        2                  /                                      /   2\\               /   2\
-5 + re (x) - im (x) + 3*re(x) + I*\3*im(x) + 2*im(x)*re(x) + im(x*y) + im\x*y // + re(x*y) + re\x*y /
$$i \left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} + 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(x y\right)} + \operatorname{im}{\left(x y^{2}\right)}\right) + \left(\operatorname{re}{\left(x\right)}\right)^{2} + 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(x y\right)} + \operatorname{re}{\left(x y^{2}\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 5$$
-5 + re(x)^2 - im(x)^2 + 3*re(x) + i*(3*im(x) + 2*im(x)*re(x) + im(x*y) + im(x*y^2)) + re(x*y) + re(x*y^2)
Respuesta rápida [src]
            2        2                  /                                      /   2\\               /   2\
z1 = -5 + re (x) - im (x) + 3*re(x) + I*\3*im(x) + 2*im(x)*re(x) + im(x*y) + im\x*y // + re(x*y) + re\x*y /
$$z_{1} = i \left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} + 3 \operatorname{im}{\left(x\right)} + \operatorname{im}{\left(x y\right)} + \operatorname{im}{\left(x y^{2}\right)}\right) + \left(\operatorname{re}{\left(x\right)}\right)^{2} + 3 \operatorname{re}{\left(x\right)} + \operatorname{re}{\left(x y\right)} + \operatorname{re}{\left(x y^{2}\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 5$$
z1 = i*(2*re(x)*im(x) + 3*im(x) + im(x*y) + im(x*y^2)) + re(x)^2 + 3*re(x) + re(x*y) + re(x*y^2) - im(x)^2 - 5