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(x^2-(a+4)*x+2*a+4)*(cot(x))/(pi*x/3-sqrt(3)/3)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
/ 2                      \           
\x  - (a + 4)*x + 2*a + 4/*cot(x)    
--------------------------------- = 0
                    ___              
           pi*x   \/ 3               
           ---- - -----              
            3       3                
$$\frac{\left(\left(2 a + \left(x^{2} - x \left(a + 4\right)\right)\right) + 4\right) \cot{\left(x \right)}}{\frac{\pi x}{3} - \frac{\sqrt{3}}{3}} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
    pi   pi                      
2 - -- + -- + 2 + I*im(a) + re(a)
    2    2                       
$$\left(\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} + 2\right) + \left(\left(2 - \frac{\pi}{2}\right) + \frac{\pi}{2}\right)$$
=
4 + I*im(a) + re(a)
$$\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} + 4$$
producto
  -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
Respuesta rápida [src]
x1 = 2
$$x_{1} = 2$$
     -pi 
x2 = ----
      2  
$$x_{2} = - \frac{\pi}{2}$$
     pi
x3 = --
     2 
$$x_{3} = \frac{\pi}{2}$$
x4 = 2 + I*im(a) + re(a)
$$x_{4} = \operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} + 2$$
x4 = re(a) + i*im(a) + 2