cos(x)+cos(5*x)=0

Решение любых уравнений, Решение уравнений Работа проверена: maverick1358 Время решения: 13 мин Сложность: 4.9

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Дано

$$cos{left (x right )} + cos{left (5 x right )} = 0$$

Ответ

-pi
x1 = —-
2

$$x_{1} = – frac{pi}{2}$$

pi
x2 = —
2

$$x_{2} = frac{pi}{2}$$

3*pi /log(2) / ___
x3 = – —- + I*|—— – log/ 2 /|
4 2 /

$$x_{3} = – frac{3 pi}{4} + i left(- log{left (sqrt{2} right )} + frac{1}{2} log{left (2 right )}right)$$

3*pi /log(2) / ___
x4 = —- + I*|—— – log/ 2 /|
4 2 /

$$x_{4} = frac{3 pi}{4} + i left(- log{left (sqrt{2} right )} + frac{1}{2} log{left (2 right )}right)$$

pi /log(2) / ___
x5 = – — + I*|—— – log/ 2 /|
4 2 /

$$x_{5} = – frac{pi}{4} + i left(- log{left (sqrt{2} right )} + frac{1}{2} log{left (2 right )}right)$$

pi /log(2) / ___
x6 = — + I*|—— – log/ 2 /|
4 2 /

$$x_{6} = frac{pi}{4} + i left(- log{left (sqrt{2} right )} + frac{1}{2} log{left (2 right )}right)$$

/ ___
| I / 3 |
x7 = -I*log|- – – —–|
2 2 /

$$x_{7} = – i log{left (- frac{sqrt{3}}{2} – frac{i}{2} right )}$$

/ ___
|I / 3 |
x8 = -I*log|- – —–|
2 2 /

$$x_{8} = – i log{left (- frac{sqrt{3}}{2} + frac{i}{2} right )}$$

/ ___
|/ 3 I|
x9 = -I*log|—– – -|
2 2/

$$x_{9} = – i log{left (frac{sqrt{3}}{2} – frac{i}{2} right )}$$

/ ___
|I / 3 |
x10 = -I*log|- + —–|
2 2 /

$$x_{10} = – i log{left (frac{sqrt{3}}{2} + frac{i}{2} right )}$$

Численный ответ

x1 = -77.7544181763000

x2 = -95.8185759345000

x3 = 90.3207887907000

x4 = 88.4881930761000

x5 = -51.8362787842000

x6 = -60.2138591938000

x7 = 36.1283155163000

x8 = -71.7330322570000

x9 = -85.3466004225000

x10 = -47.9092879672000

x11 = 80.1106126665000

x12 = 34.0339204139000

x13 = 51.8362787842000

x14 = 14.1371669412000

x15 = 69.9004365424000

x16 = -22.7765467385000

x17 = -25.9181393921000

x18 = -5.75958653158000

x19 = 18.3259571459000

x20 = -7.85398163397000

x21 = -87.1791961371000

x22 = 54.1924732744000

x23 = 12.0427718388000

x24 = 29.8451302091000

x25 = 42.4115008235000

x26 = -31.9395253115000

x27 = -75.9218224618000

x28 = -33.7721210261000

x29 = 5.75958653158000

x30 = 10.2101761242000

x31 = -27.7507351067000

x32 = -93.7241808321000

x33 = 62.3082542962000

x34 = 22.5147473507000

x35 = -80.1106126665000

x36 = -58.1194640914000

x37 = 49.7418836818000

x38 = -55.7632696012000

x39 = -38.2227106187000

x40 = 64.4026493986000

x41 = 86.3937979737000

x42 = 66.4970445010000

x43 = -16.2315620435000

x44 = -18.0641577581000

x45 = -91.8915851175000

x46 = -62.0464549084000

x47 = -97.9129710369000

x48 = 46.3384916404000

x49 = 78.0162175641000

x50 = -11.7809724510000

x51 = -65.1880475620000

x52 = 16.2315620435000

x53 = 73.0420291960000

x54 = 100.007366139000

x55 = 32.2013246993000

x56 = 84.2994028713000

x57 = -63.6172512352000

x58 = -49.7418836818000

x59 = -43.1968989869000

x60 = -99.7455667515000

x61 = -69.9004365424000

x62 = 3.92699081699000

x63 = 93.4623814443000

x64 = 7.85398163397000

x65 = 95.0331777711000

x66 = -73.8274273594000

x67 = -14.1371669412000

x68 = 98.1747704247000

x69 = 56.0250689890000

x70 = -19.6349540849000

x71 = -82.2050077689000

x72 = -44.7676953137000

x73 = -21.2057504117000

x74 = 24.3473430653000

x75 = 117.024326346000

x76 = -84.0376034835000

x77 = 2.35619449019000

x78 = -41.6261026601000

x79 = -9.94837673637000

x80 = 82.2050077689000

x81 = -29.8451302091000

x82 = 44.5058959259000

x83 = 0.785398163397000

x84 = 25.9181393921000

x85 = -4.71238898038000

x86 = 38.2227106187000

x87 = 58.1194640914000

x88 = 65.1880475620000

x89 = -36.1283155163000

x90 = 76.1836218496000

x91 = -40.0553063333000

x92 = -0.785398163397000

x93 = -85.6083998103000

x94 = -53.9306738866000

x95 = 47.9092879672000

x96 = 68.3296402156000

x97 = 91.8915851175000

x98 = 27.7507351067000

x99 = 60.2138591938000

4.74

maverick1358

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cos(x)+cos(5*x)=0

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