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-sqrt(3)*sin(x/2)+cos(x/2)-1=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   ___    /x\      /x\        
-\/ 3 *sin|-| + cos|-| - 1 = 0
          \2/      \2/        
$$\left(- \sqrt{3} \sin{\left(\frac{x}{2} \right)} + \cos{\left(\frac{x}{2} \right)}\right) - 1 = 0$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -4*pi
x2 = -----
       3  
$$x_{2} = - \frac{4 \pi}{3}$$
x2 = -4*pi/3
Suma y producto de raíces [src]
suma
-4*pi
-----
  3  
$$- \frac{4 \pi}{3}$$
=
-4*pi
-----
  3  
$$- \frac{4 \pi}{3}$$
producto
  -4*pi
0*-----
    3  
$$0 \left(- \frac{4 \pi}{3}\right)$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = -92.1533845053006
x2 = 113.097335529233
x3 = -75.398223686155
x4 = -67.0206432765823
x5 = -62.8318530717959
x6 = 87.9645943005142
x7 = 33.5103216382911
x8 = 121.474915938805
x9 = -87.9645943005142
x10 = -54.4542726622231
x11 = 71.2094334813686
x12 = 100.530964914873
x13 = 62.8318530717959
x14 = 58.6430628670095
x15 = 46.0766922526503
x16 = 96.342174710087
x17 = 12.5663706143592
x18 = 25.1327412287183
x19 = -37.6991118430775
x20 = -293.215314335047
x21 = 20.943951023932
x22 = -41.8879020478639
x23 = -79.5870138909414
x24 = -4.18879020478639
x25 = 1621.06180925233
x26 = 8.37758040957278
x27 = -29.3215314335047
x28 = -100.530964914873
x29 = 83.7758040957278
x30 = 1910.08833338259
x31 = -16.7551608191456
x32 = 0.0
x33 = -12.5663706143592
x34 = 75.398223686155
x35 = -50.2654824574367
x36 = 50.2654824574367
x37 = 37.6991118430775
x38 = -25.1327412287183
x38 = -25.1327412287183