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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
((2a+(x2−x(a+4)))+4)cot⁡(x)πx3−33=0\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
Simplificar
Gráfica
Suma y producto de raíces [src] 
suma
    pi   pi                      
2 - -- + -- + 2 + I*im(a) + re(a)
    2    2
(re⁡(a)+iim⁡(a)+2)+((2−π2)+π2)\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)
re⁡(a)+iim⁡(a)+4\operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} + 4 
producto
  -pi  pi                      
2*----*--*(2 + I*im(a) + re(a))
   2   2
π2⋅2(−π2)(re⁡(a)+iim⁡(a)+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
−π2(re⁡(a)+iim⁡(a)+2)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
x1=2x_{1} = 2 
     -pi 
x2 = ----
      2
x2=−π2x_{2} = - \frac{\pi}{2} 
     pi
x3 = --
     2
x3=π2x_{3} = \frac{\pi}{2} 
x4 = 2 + I*im(a) + re(a)
x4=re⁡(a)+iim⁡(a)+2x_{4} = \operatorname{re}{\left(a\right)} + i \operatorname{im}{\left(a\right)} + 2 
x4 = re(a) + i*im(a) + 2
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