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2*cos(x/2)=1+cosx la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
     /x\             
2*cos|-| = 1 + cos(x)
     \2/             
$$2 \cos{\left(\frac{x}{2} \right)} = \cos{\left(x \right)} + 1$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
x2 = -pi
$$x_{2} = - \pi$$
x3 = pi
$$x_{3} = \pi$$
x3 = pi
Suma y producto de raíces [src]
suma
-pi + pi
$$\pi - \pi$$
=
0
$$0$$
producto
0*(-pi)*pi
$$\pi 0 \left(- \pi\right)$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = -75.3982238711374
x2 = 50.2654820744793
x3 = 25.1327415937926
x4 = 3.14159265358979
x5 = -87.9645943586551
x6 = -47.1238898038469
x7 = -34.5575191894877
x8 = -37.699112207722
x9 = -65.9734457253857
x10 = 37.6991116788082
x11 = 59.6902604182061
x12 = 72.2566310325652
x13 = -50.2654825512886
x14 = 91.106186954104
x15 = -50.2654828534335
x16 = -91.106186954104
x17 = 5.65128337777279e-7
x18 = -12.5663703251897
x19 = -7115.70736038088
x20 = -37.6991118772353
x21 = 87.9645943358683
x22 = -9.42477796076938
x23 = -100.530964637817
x24 = 65.9734457253857
x25 = -50.2654822886107
x26 = 25.1327408734344
x27 = 21.9911485751286
x28 = 100.5309635361
x29 = -40.8407044966673
x30 = -25.1327415157014
x31 = 37.6991120281288
x32 = -97.3893722612836
x33 = -75.398223449493
x34 = -53.4070751110265
x35 = 97.3893722612836
x36 = 78.5398163397448
x37 = 12.566370803741
x38 = 53.4070751110265
x39 = 47.1238898038469
x40 = 75.398223320477
x41 = 87.9645944088954
x42 = -62.8318534326663
x43 = -12.5663709739477
x44 = 34.5575191894877
x45 = 50.2654824463412
x46 = 100.530964761509
x47 = 12.5663711440731
x48 = 62.8318529942854
x49 = 75.3982239868495
x50 = -25.1327408560625
x51 = -15.707963267949
x52 = -3.14159265358979
x53 = -59.6902604182061
x54 = 12.5663704449615
x55 = -28.2743338823081
x56 = 9.42477796076938
x57 = -21.9911485751286
x58 = -62.8318527127185
x59 = -37.6991117237943
x60 = 15.707963267949
x61 = 62.8318534384857
x62 = 62.8318527967639
x63 = -87.9645934570466
x64 = 84.8230016469244
x65 = -78.5398163397448
x66 = -15092.2111080766
x67 = -72.2566310325652
x68 = -84.8230016469244
x69 = 0.0
x70 = 28.2743338823081
x71 = 40.8407044966673
x71 = 40.8407044966673