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1+2cos(x)*cos(2x)*cos(5x)=cos^2(x)+cos^2(2x)+cos^2(5x) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
                                    2         2           2     
1 + 2*cos(x)*cos(2*x)*cos(5*x) = cos (x) + cos (2*x) + cos (5*x)
2cos⁡(x)cos⁡(2x)cos⁡(5x)+1=(cos⁡2(x)+cos⁡2(2x))+cos⁡2(5x)2 \cos{\left(x \right)} \cos{\left(2 x \right)} \cos{\left(5 x \right)} + 1 = \left(\cos^{2}{\left(x \right)} + \cos^{2}{\left(2 x \right)}\right) + \cos^{2}{\left(5 x \right)}
Simplificar
Gráfica
0-80-60-40-2020406080-10010005
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
  3*pi   2*pi   pi   pi   pi   pi   pi   pi   2*pi   3*pi     
- ---- - ---- - -- - -- - -- + -- + -- + -- + ---- + ---- + pi
   4      3     2    3    4    4    3    2     3      4
(((((((((−3π4−2π3)−π2)−π3)−π4)+π4)+π3)+π2)+2π3)+3π4)+π\left(\left(\left(\left(\left(\left(\left(\left(\left(- \frac{3 \pi}{4} - \frac{2 \pi}{3}\right) - \frac{\pi}{2}\right) - \frac{\pi}{3}\right) - \frac{\pi}{4}\right) + \frac{\pi}{4}\right) + \frac{\pi}{3}\right) + \frac{\pi}{2}\right) + \frac{2 \pi}{3}\right) + \frac{3 \pi}{4}\right) + \pi 
=
pi
π\pi 
producto
  -3*pi -2*pi -pi  -pi  -pi  pi pi pi 2*pi 3*pi   
0*-----*-----*----*----*----*--*--*--*----*----*pi
    4     3    2    3    4   4  3  2   3    4
π3π42π3π2π3π4⋅−π4⋅−π3⋅−π2⋅−2π3⋅0(−3π4)\pi \frac{3 \pi}{4} \frac{2 \pi}{3} \frac{\pi}{2} \frac{\pi}{3} \frac{\pi}{4} \cdot - \frac{\pi}{4} \cdot - \frac{\pi}{3} \cdot - \frac{\pi}{2} \cdot - \frac{2 \pi}{3} \cdot 0 \left(- \frac{3 \pi}{4}\right) 
=
0
00 
0
Respuesta rápida [src] 
x1 = 0
x1=0x_{1} = 0 
     -3*pi
x2 = -----
       4
x2=−3π4x_{2} = - \frac{3 \pi}{4} 
     -2*pi
x3 = -----
       3
x3=−2π3x_{3} = - \frac{2 \pi}{3} 
     -pi 
x4 = ----
      2
x4=−π2x_{4} = - \frac{\pi}{2} 
     -pi 
x5 = ----
      3
x5=−π3x_{5} = - \frac{\pi}{3} 
     -pi 
x6 = ----
      4
x6=−π4x_{6} = - \frac{\pi}{4} 
     pi
x7 = --
     4
x7=π4x_{7} = \frac{\pi}{4} 
     pi
x8 = --
     3
x8=π3x_{8} = \frac{\pi}{3} 
     pi
x9 = --
     2
x9=π2x_{9} = \frac{\pi}{2} 
      2*pi
x10 = ----
       3
x10=2π3x_{10} = \frac{2 \pi}{3} 
      3*pi
x11 = ----
       4
x11=3π4x_{11} = \frac{3 \pi}{4} 
x12 = pi
x12=πx_{12} = \pi 
x12 = pi
Respuesta numérica [src] 
x1 = -83.7758040957278
x2 = -99.7455667514759
x3 = 0.0
x4 = 4.18879020478639
x5 = 18.0641577581413
x6 = 14.6607657167524
x7 = 56.5484641400565
x8 = 24.0855436775217
x9 = -77.7544181763474
x10 = -39.7935069454707
x11 = 2.0943951023932
x12 = -450.294947014537
x13 = 76.1836218495525
x14 = 54.1924732744239
x15 = -61.7846555205993
x16 = 21.9913535927483
x17 = -41.8879020478639
x18 = 84.037603483527
x19 = -7.85398182389151
x20 = -85.870199198121
x21 = -33.7721210260903
x22 = -58.1194641226395
x23 = 79.5870138909414
x24 = -80.1106126665335
x25 = 10.2101761241668
x26 = -75.3983610468011
x27 = -51.8362787090839
x28 = -36.1283156042071
x29 = 28.2742639089627
x30 = 65.9735387950965
x31 = -81.6816032338112
x32 = -21.9911796982512
x33 = -69.9004365423729
x34 = 21.9911796920297
x35 = 72.2569208422454
x36 = 51.3126800086333
x37 = -87.9647198296329
x38 = 42.9350995990605
x39 = 6.28309004444442
x40 = -73.8274272886067
x41 = 98.174770424681
x42 = -17.8023583703422
x43 = -59.6904303412267
x44 = -25.9181393921158
x45 = 92.1533845053006
x46 = 87.9647179954032
x47 = -19.8967534727354
x48 = 67.0206432765823
x49 = -47.9092879672443
x50 = -65.9735393378778
x51 = 50.265437888591
x52 = 46.0766922526503
x53 = -43.9823594248394
x54 = -55.7632696012188
x55 = -91.8915851175014
x56 = -53.4073688430235
x57 = 40.0553063332699
x58 = -90.0589894029074
x59 = -95.818575871537
x60 = 48.1710873550435
x61 = 72.2566119340315
x62 = -12.5664897859781
x63 = -11.7809724509617
x64 = 94.247786003384
x65 = 70.162235930172
x66 = 43.9823593225095
x67 = -25.1330713343201
x68 = -14.1371669005198
x69 = -15.708083653033
x70 = -3.92699081698724
x71 = 32.2013246992954
x72 = 83.2522051914461
x73 = -63.8790506229925
x74 = -37.6992571316596
x75 = 63.8790506229925
x76 = -68.329640215578
x77 = 62.0464549083984
x78 = -97.3892703644271
x79 = -29.8451301426643
x80 = 26.1799387799149
x81 = 34.5574217319637
x81 = 34.5574217319637
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