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8sin^2((7пи)/12+x)-2*3^(1/2)*cos(2x)=5 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
     2/7*pi    \       ___             
8*sin |---- + x| - 2*\/ 3 *cos(2*x) = 5
      \ 12     /                       
$$8 \sin^{2}{\left(x + \frac{7 \pi}{12} \right)} - 2 \sqrt{3} \cos{\left(2 x \right)} = 5$$
Gráfica
Suma y producto de raíces [src]
suma
  5*pi   pi   7*pi   11*pi
- ---- - -- + ---- + -----
   12    12    12      12 
$$\left(\left(- \frac{5 \pi}{12} - \frac{\pi}{12}\right) + \frac{7 \pi}{12}\right) + \frac{11 \pi}{12}$$
=
pi
$$\pi$$
producto
-5*pi -pi  7*pi 11*pi
-----*----*----*-----
  12   12   12    12 
$$\frac{11 \pi}{12} \frac{7 \pi}{12} \cdot - \frac{5 \pi}{12} \left(- \frac{\pi}{12}\right)$$
=
      4
385*pi 
-------
 20736 
$$\frac{385 \pi^{4}}{20736}$$
385*pi^4/20736
Respuesta rápida [src]
     -5*pi
x1 = -----
       12 
$$x_{1} = - \frac{5 \pi}{12}$$
     -pi 
x2 = ----
      12 
$$x_{2} = - \frac{\pi}{12}$$
     7*pi
x3 = ----
      12 
$$x_{3} = \frac{7 \pi}{12}$$
     11*pi
x4 = -----
       12 
$$x_{4} = \frac{11 \pi}{12}$$
x4 = 11*pi/12
Respuesta numérica [src]
x1 = -9.68657734856853
x2 = 6.02138591938044
x3 = -1.30899693899575
x4 = 4.97418836818384
x5 = 9.16297857297023
x6 = -7.59218224617533
x7 = 8.11578102177363
x8 = 1.83259571459405
x9 = -6.54498469497874
x10 = -3.40339204138894
x11 = -0.261799387799149
x12 = -13.8753675533549
x13 = 2.87979326579064
x14 = -4.45058959258554
x14 = -4.45058959258554