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sin2x-sqrt(2)sinx=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
             ___           
sin(2*x) - \/ 2 *sin(x) = 0
$$- \sqrt{2} \sin{\left(x \right)} + \sin{\left(2 x \right)} = 0$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -pi 
x2 = ----
      4  
$$x_{2} = - \frac{\pi}{4}$$
     pi
x3 = --
     4 
$$x_{3} = \frac{\pi}{4}$$
x4 = pi
$$x_{4} = \pi$$
x4 = pi
Suma y producto de raíces [src]
suma
  pi   pi     
- -- + -- + pi
  4    4      
$$\left(- \frac{\pi}{4} + \frac{\pi}{4}\right) + \pi$$
=
pi
$$\pi$$
producto
  -pi  pi   
0*----*--*pi
   4   4    
$$\pi \frac{\pi}{4} \cdot 0 \left(- \frac{\pi}{4}\right)$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = -74.6128255227576
x2 = 34.5575191894877
x3 = -76.1836218495525
x4 = -99.7455667514759
x5 = -34.5575191894877
x6 = -7.06858347057703
x7 = -43.9822971502571
x8 = 28.2743338823081
x9 = -55.7632696012188
x10 = 63.6172512351933
x11 = 32.2013246992954
x12 = -12.5663706143592
x13 = -51.0508806208341
x14 = -91.106186954104
x15 = 59.6902604182061
x16 = 87.1791961371168
x17 = 18.0641577581413
x18 = 15.707963267949
x19 = 57.3340659280137
x20 = -13.3517687777566
x21 = -15.707963267949
x22 = -37.6991118430775
x23 = -72.2566310325652
x24 = -36.9137136796801
x25 = 40.8407044966673
x26 = 690.364985626357
x27 = -106.028752058656
x28 = 53.4070751110265
x29 = -25.9181393921158
x30 = 65.9734457253857
x31 = 13.3517687777566
x32 = 99.7455667514759
x33 = 80.8960108299372
x34 = -11.7809724509617
x35 = 21.9911485751286
x36 = 426.471202724814
x37 = -62.0464549083984
x38 = -47.1238898038469
x39 = 126.449104306989
x40 = -3.14159265358979
x41 = -65.9734457253857
x42 = -18.0641577581413
x43 = 78.5398163397448
x44 = 7.06858347057703
x45 = 24.3473430653209
x46 = 97.3893722612836
x47 = -97.3893722612836
x48 = 19.6349540849362
x49 = -21.9911485751286
x50 = 44.7676953136546
x51 = -94.2477796076938
x52 = -53.4070751110265
x53 = 62.0464549083984
x54 = -80.8960108299372
x55 = -57.3340659280137
x56 = 76.1836218495525
x57 = 69.9004365423729
x58 = -59.6902604182061
x59 = -69.9004365423729
x60 = 68.329640215578
x61 = -63.6172512351933
x62 = -106.814150222053
x63 = 84.8230016469244
x64 = -19.6349540849362
x65 = -24.3473430653209
x66 = -87.9645943005142
x67 = -28.2743338823081
x68 = -30.6305283725005
x69 = 6.28318530717959
x70 = 14551.8571714279
x71 = 30.6305283725005
x72 = 0.0
x73 = 87.9645943005142
x74 = 43.9822971502571
x75 = 36.9137136796801
x76 = 25.9181393921158
x77 = -9.42477796076938
x78 = 74.6128255227576
x79 = 72.2566310325652
x80 = -68.329640215578
x81 = 94.2477796076938
x82 = 106.028752058656
x83 = -95.0331777710912
x84 = 11.7809724509617
x85 = 9.42477796076938
x86 = -78.5398163397448
x87 = -81.6814089933346
x88 = -32.2013246992954
x89 = -5.49778714378214
x90 = 50.2654824574367
x90 = 50.2654824574367