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cos^2x+cosx=0

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