Sr Examen

3ctg(z)+tg(z)=2i la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
3*cot(z) + tan(z) = 2*I
$$\tan{\left(z \right)} + 3 \cot{\left(z \right)} = 2 i$$
Gráfica
Respuesta rápida [src]
z1 = -im(atanh(3)) + I*re(atanh(3))
$$z_{1} = - \operatorname{im}{\left(\operatorname{atanh}{\left(3 \right)}\right)} + i \operatorname{re}{\left(\operatorname{atanh}{\left(3 \right)}\right)}$$
z1 = -im(atanh(3)) + i*re(atanh(3))
Suma y producto de raíces [src]
suma
-im(atanh(3)) + I*re(atanh(3))
$$- \operatorname{im}{\left(\operatorname{atanh}{\left(3 \right)}\right)} + i \operatorname{re}{\left(\operatorname{atanh}{\left(3 \right)}\right)}$$
=
-im(atanh(3)) + I*re(atanh(3))
$$- \operatorname{im}{\left(\operatorname{atanh}{\left(3 \right)}\right)} + i \operatorname{re}{\left(\operatorname{atanh}{\left(3 \right)}\right)}$$
producto
-im(atanh(3)) + I*re(atanh(3))
$$- \operatorname{im}{\left(\operatorname{atanh}{\left(3 \right)}\right)} + i \operatorname{re}{\left(\operatorname{atanh}{\left(3 \right)}\right)}$$
=
-im(atanh(3)) + I*re(atanh(3))
$$- \operatorname{im}{\left(\operatorname{atanh}{\left(3 \right)}\right)} + i \operatorname{re}{\left(\operatorname{atanh}{\left(3 \right)}\right)}$$
-im(atanh(3)) + i*re(atanh(3))
Respuesta numérica [src]
z1 = -34.5111208286381 - 17.9287807812206*i
z2 = 101.882153512109 - 15.2249922667223*i
z3 = 24.4048955032265 - 150.466736713013*i
z4 = -87.9645943005142 - 31.7746685725476*i
z5 = 86.3937979737193 + 0.346573590279973*i
z6 = -37.6616504808377 - 46.1047869479176*i
z7 = 42.4115008234622 + 0.346573590279973*i
z8 = -20.926039796126 - 15.4194732083741*i
z9 = 4.71238898038469 + 0.346573590279973*i
z10 = 1.19835130555975e+19 - 1.32370881160537e+19*i
z11 = -173.469943135398 - 17.0844906584192*i
z12 = 6122829.09034424 - 8573335.84196546*i
z13 = -91.6888269247754 - 20.7112598919774*i
z14 = 20.4203522483337 + 0.346573590279973*i
z15 = -52.2389206382896 - 18.9020618275925*i
z16 = -11011639.1966056 - 7350400.49973742*i
z16 = -11011639.1966056 - 7350400.49973742*i