(x^2-(a+4)*x+2*a+4)*(cot(x))/(pi*x/3-sqrt(3)/3)=0 la ecuación
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Solución
Suma y producto de raíces
[src]
pi pi
2 - -- + -- + 2 + I*im(a) + re(a)
2 2
$$\left(\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} + 2\right) + \left(\left(2 - \frac{\pi}{2}\right) + \frac{\pi}{2}\right)$$
$$\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} + 4$$
-pi pi
2*----*--*(2 + I*im(a) + re(a))
2 2
$$\frac{\pi}{2} \cdot 2 \left(- \frac{\pi}{2}\right) \left(\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} + 2\right)$$
2
-pi *(2 + I*im(a) + re(a))
---------------------------
2
$$- \frac{\pi^{2} \left(\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} + 2\right)}{2}$$
-pi^2*(2 + i*im(a) + re(a))/2
$$x_{1} = 2$$
$$x_{2} = - \frac{\pi}{2}$$
$$x_{3} = \frac{\pi}{2}$$
$$x_{4} = \operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} + 2$$