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cos^2(x)+cos(x)=0

cos^2(x)+cos(x)=0 уравнение

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Численное решение:

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Решение

Вы ввели [src]
   2                
cos (x) + cos(x) = 0
$$\cos^{2}{\left(x \right)} + \cos{\left(x \right)} = 0$$
График
Сумма и произведение корней [src]
сумма
pi        3*pi
-- + pi + ----
2          2  
$$\left(\frac{\pi}{2}\right) + \left(\pi\right) + \left(\frac{3 \pi}{2}\right)$$
=
3*pi
$$3 \pi$$
произведение
pi        3*pi
-- * pi * ----
2          2  
$$\left(\frac{\pi}{2}\right) * \left(\pi\right) * \left(\frac{3 \pi}{2}\right)$$
=
    3
3*pi 
-----
  4  
$$\frac{3 \pi^{3}}{4}$$
Быстрый ответ [src]
      pi
x_1 = --
      2 
$$x_{1} = \frac{\pi}{2}$$
x_2 = pi
$$x_{2} = \pi$$
      3*pi
x_3 = ----
       2  
$$x_{3} = \frac{3 \pi}{2}$$
Численный ответ [src]
x1 = -70.6858347057703
x2 = -20.4203522483337
x3 = 64.4026493985908
x4 = -15.7079632964512
x5 = -80.1106126665397
x6 = -54.9778714378214
x7 = -7.85398163397448
x8 = 83.2522053201295
x9 = -29.845130209103
x10 = 48.6946861306418
x11 = -1.5707963267949
x12 = -91.1061870617513
x13 = 70.6858347057703
x14 = 86.3937979737193
x15 = -4.71238898038469
x16 = 47.1238891910616
x17 = -28.2743337271955
x18 = 10.9955742875643
x19 = -98.9601685880785
x20 = -92.6769832808989
x21 = -59.6902604574727
x22 = 36.1283155162826
x23 = -84.8230020186947
x24 = 28.2743338652235
x25 = 58.1194640914112
x26 = -65.9734457651102
x27 = 45.553093477052
x28 = -9.42477811540647
x29 = -76.9690200129499
x30 = -36.1283155162826
x31 = 76.9690200129499
x32 = 54.9778714378214
x33 = 23.5619449019235
x34 = 14.1371669411541
x35 = 21.9911485851865
x36 = -64.4026493985908
x37 = 3.14159237966678
x38 = 59.6902605835311
x39 = -21.9911485864616
x40 = 91.1061864055267
x41 = 95.8185759344887
x42 = -67.5442420521806
x43 = -114.668131856027
x44 = 51.8362787842316
x45 = 17.2787595947439
x46 = -95.8185759344887
x47 = 32.9867228626928
x48 = 3.14159255416701
x49 = 39.2699081698724
x50 = -17.2787595947439
x51 = 29.845130209103
x52 = 97.3893724028077
x53 = 67.5442420521806
x54 = -34.5575190186597
x55 = -26.7035375555132
x56 = 61.261056745001
x57 = -48.6946861306418
x58 = 73.8274273593601
x59 = 20.4203522483337
x60 = 53.407075264892
x61 = -10.9955742875643
x62 = 78.5398161960398
x63 = 91.1061877275391
x64 = 65.9734457528109
x65 = -72.2566308831918
x66 = -78.5398161632939
x67 = 84.8230014843127
x68 = -40.8407049448264
x69 = -14.1371669411541
x70 = 9.42477812420882
x71 = 40.8407043427125
x72 = -51.8362787842316
x73 = -58.1194640914112
x74 = -78.5398161850973
x75 = -21.9911485825594
x76 = 15.7079634283821
x77 = -23.5619449019235
x78 = 26.7035375555132
x79 = -3.1415927960834
x80 = -45.553093477052
x81 = 34.5575190401242
x82 = -53.40707527053
x83 = 7.85398163397448
x84 = -97.3893724252203
x85 = 47.1238905156601
x86 = 98.9601685880785
x87 = -47.1238899312794
x88 = -61.261056745001
x89 = -89.5353906273091
x90 = -73.8274273593601
x91 = 84.8230022546705
x92 = -9.42477809807754
x93 = 80.1106126665397
x94 = -32.9867228626928
x95 = 72.2566310277204
x96 = 42.4115008234622
x96 = 42.4115008234622
График
cos^2(x)+cos(x)=0 уравнение