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3cos^2x-2cosx-1=0

3cos^2x-2cosx-1=0 уравнение

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Численное решение:

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Решение

Вы ввели [src]
     2                      
3*cos (x) - 2*cos(x) - 1 = 0
$$3 \cos^{2}{\left(x \right)} - 2 \cos{\left(x \right)} - 1 = 0$$
График
Сумма и произведение корней [src]
сумма
0 + 2*pi + -acos(-1/3) + 2*pi + acos(-1/3)
$$\left(0\right) + \left(2 \pi\right) + \left(- \operatorname{acos}{\left(- \frac{1}{3} \right)} + 2 \pi\right) + \left(\operatorname{acos}{\left(- \frac{1}{3} \right)}\right)$$
=
4*pi
$$4 \pi$$
произведение
0 * 2*pi * -acos(-1/3) + 2*pi * acos(-1/3)
$$\left(0\right) * \left(2 \pi\right) * \left(- \operatorname{acos}{\left(- \frac{1}{3} \right)} + 2 \pi\right) * \left(\operatorname{acos}{\left(- \frac{1}{3} \right)}\right)$$
=
0
$$0$$
Быстрый ответ [src]
x_1 = 0
$$x_{1} = 0$$
x_2 = 2*pi
$$x_{2} = 2 \pi$$
x_3 = -acos(-1/3) + 2*pi
$$x_{3} = - \operatorname{acos}{\left(- \frac{1}{3} \right)} + 2 \pi$$
x_4 = acos(-1/3)
$$x_{4} = \operatorname{acos}{\left(- \frac{1}{3} \right)}$$
Численный ответ [src]
x1 = -81.681409037892
x2 = 94.2477796093525
x3 = -75.3982238552929
x4 = -60.9212198355468
x5 = -48.3548492211877
x6 = 31.4159267480455
x7 = 62.8318528651686
x8 = -42.0716639140081
x9 = -87.9645943588535
x10 = 25.1327414891138
x11 = -27.0433744649674
x12 = 4.37255207093057
x13 = -62.8318524602621
x14 = -92.3371463714448
x15 = 39.6097450793265
x16 = -37.699111877094
x17 = 0.0
x18 = -43.9822971745993
x19 = -8.19381854342861
x20 = 69.1150385335234
x21 = 69.115038589108
x22 = -45.8929303865061
x23 = -94.2477794570789
x24 = 25.1327410624325
x25 = 33.326559772147
x26 = -10.6557373781102
x27 = 8.19381854342861
x28 = 25.1327413905906
x29 = -62.8318530892335
x30 = -16.9389226852897
x31 = 48.3548492211877
x32 = -6.28318514350193
x33 = 69.1150382547977
x34 = 25.1327410025231
x35 = 43.9822971694077
x36 = -98.6203316786244
x37 = -69.1150385791887
x38 = -31.4159266993464
x39 = 86.0539610642652
x40 = 10.6557373781102
x41 = 83.5920422295836
x42 = -12.5663704009151
x43 = 75.3982238962068
x44 = 42.0716639140081
x45 = -1.91063323624902
x46 = -25.1327414320714
x47 = 92.3371463714448
x48 = 81.6814091687564
x49 = -4.37255207093057
x50 = 25.1327412720809
x51 = -33.326559772147
x52 = -50.265482300126
x53 = 96.1584128439428
x54 = 69.1150379235313
x55 = -18.8495558715762
x56 = -54.6380345283673
x57 = 37.6991120127932
x58 = 77.3088569224041
x59 = 18.8495557160908
x60 = -77.3088569224041
x61 = 69.1150381039616
x62 = -62.8318526586601
x63 = 52.1761156936857
x64 = -71.0256716152245
x65 = -52.1761156936857
x66 = -29.5052932996489
x67 = 100.530964770256
x68 = 87.9645943356819
x69 = 54.6380345283673
x70 = -39.6097450793265
x71 = -56.548667550595
x72 = -58.4593010008653
x73 = 89.8752275367632
x74 = 12.5663704569009
x75 = 16.9389226852897
x76 = 60.9212198355468
x77 = 45.8929303865061
x78 = -100.530964700929
x79 = 79.7707757570856
x80 = -73.487590449906
x81 = 14.4770038506082
x82 = 50.2654824463515
x83 = -35.7884786068285
x84 = 58.4593010008653
x85 = -79.7707757570856
x86 = 98.6203316786244
x87 = -86.0539610642652
x88 = -83.5920422295836
x89 = 35.7884786068285
x90 = -89.8752275367632
x91 = 1.91063323624902
x92 = -18.8495560035927
x93 = 6.28318528427319
x94 = 56.548667613438
x95 = -18.8495555299345
x96 = -18.8495556868434
x97 = -62.8318525563033
x98 = -96.1584128439428
x98 = -96.1584128439428
График
3cos^2x-2cosx-1=0 уравнение