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cos(x)^(2)-3*cos(x)+2=0

cos(x)^(2)-3*cos(x)+2=0 уравнение

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Численное решение:

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Решение

Вы ввели [src]
   2                      
cos (x) - 3*cos(x) + 2 = 0
$$\cos^{2}{\left(x \right)} - 3 \cos{\left(x \right)} + 2 = 0$$
График
Сумма и произведение корней [src]
сумма
0 + 2*pi + 2*pi - I*im(acos(2)) + I*im(acos(2))
$$\left(0\right) + \left(2 \pi\right) + \left(2 \pi - i \operatorname{im}{\left(\operatorname{acos}{\left(2 \right)}\right)}\right) + \left(i \operatorname{im}{\left(\operatorname{acos}{\left(2 \right)}\right)}\right)$$
=
4*pi
$$4 \pi$$
произведение
0 * 2*pi * 2*pi - I*im(acos(2)) * I*im(acos(2))
$$\left(0\right) * \left(2 \pi\right) * \left(2 \pi - i \operatorname{im}{\left(\operatorname{acos}{\left(2 \right)}\right)}\right) * \left(i \operatorname{im}{\left(\operatorname{acos}{\left(2 \right)}\right)}\right)$$
=
0
$$0$$
Быстрый ответ [src]
x_1 = 0
$$x_{1} = 0$$
x_2 = 2*pi
$$x_{2} = 2 \pi$$
x_3 = 2*pi - I*im(acos(2))
$$x_{3} = 2 \pi - i \operatorname{im}{\left(\operatorname{acos}{\left(2 \right)}\right)}$$
x_4 = I*im(acos(2))
$$x_{4} = i \operatorname{im}{\left(\operatorname{acos}{\left(2 \right)}\right)}$$
Численный ответ [src]
x1 = 94.2477808851498
x2 = 18.8495567908524
x3 = -43.9822958485246
x4 = -43.9822984008141
x5 = -94.2477785033657
x6 = 56.5486675871477
x7 = -37.6991118774752
x8 = 69.1150378026136
x9 = 94.2477796093521
x10 = -6.2831842606194
x11 = -25.1327403745683
x12 = 75.3982241007593
x13 = 0.0
x14 = -50.2654822701809
x15 = -87.9645955574957
x16 = -94.2477794313305
x17 = -37.6991131096277
x18 = -62.8318536920999
x19 = 75.3982235113583
x20 = -1.24358883358213e-6
x21 = -43.9822971744631
x22 = -69.1150375400315
x23 = 6.28318657126167
x24 = 1.29789534933499e-6
x25 = 62.8318532824014
x26 = 62.8318531044175
x27 = 100.530964747725
x28 = 12.5663696338539
x29 = -37.6991105864418
x30 = 56.5486667492183
x31 = 81.6814099712889
x32 = -12.566370225933
x33 = -56.5486686262791
x34 = 31.4159264886041
x35 = 75.398222869856
x36 = -31.4159274784001
x37 = -100.530964552074
x38 = -5215.04380391355
x39 = -12.5663705508209
x40 = -50.2654835458582
x41 = 62.8318527124984
x42 = -87.9645943583137
x43 = 81.6814092136757
x44 = -75.3982245873506
x45 = -75.3982226148333
x46 = -25.1327409215642
x47 = 62.8318539562208
x48 = 50.2654811803455
x49 = -6.28318638269977
x50 = -25.1327416132853
x51 = -56.548667601399
x52 = 25.1327418552092
x53 = 87.9645955876053
x54 = 56.5486688750198
x55 = -50.2654813807249
x56 = -12.5663714609397
x57 = 50.2654837284661
x58 = 31.4159261902552
x59 = 18.8495560791567
x60 = -31.4159267343047
x61 = 37.6991120523088
x62 = 87.9645930723958
x63 = 31.4159269373448
x64 = 43.9822984432902
x65 = 18.8495555496789
x66 = -18.8495565271099
x67 = -69.1150378835413
x68 = 43.9822971695364
x69 = -62.8318524749096
x70 = 94.2477783269892
x71 = 37.6991128567789
x72 = -6.28318510897268
x73 = 25.1327406377965
x74 = 81.6814079442934
x75 = -81.6814077446239
x76 = 100.530963867505
x77 = 37.6991107806887
x78 = 12.5663717119664
x79 = -100.530964660003
x80 = 6.28318528412712
x81 = 12.5663704264737
x82 = 50.2654824463236
x83 = 69.1150390203837
x84 = 87.9645943361855
x85 = -81.6814102528289
x86 = -81.6814090386471
x87 = -87.9645929959187
x88 = -75.3982238951945
x89 = -69.1150387763928
x90 = -18.8495553098906
x91 = -31.4159254513224
x92 = 31.4159257044419
x93 = 43.9822959141556
x94 = 6.28318403478594
x95 = -56.5486673890729
x96 = -94.2477807087722
x96 = -94.2477807087722
График
cos(x)^(2)-3*cos(x)+2=0 уравнение