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cos2x+√2cos(2x-π/4)=sin2x-1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
               _________________               
              /      /      pi\                
cos(2*x) +   /  2*cos|2*x - --|  = sin(2*x) - 1
           \/        \      4 /                
$$\sqrt{2 \cos{\left(2 x - \frac{\pi}{4} \right)}} + \cos{\left(2 x \right)} = \sin{\left(2 x \right)} - 1$$
Gráfica
Suma y producto de raíces [src]
suma
0
$$0$$
=
0
$$0$$
producto
1
$$1$$
=
1
$$1$$
1
Respuesta numérica [src]
x1 = -95.7283259317113 - 0.613244546646816*i
x2 = 41.9768820393539
x3 = 77.0592700157274 - 0.613244546646816*i
x4 = -26.6132875527358 - 0.613244546646816*i
x5 = 10.560955503456
x6 = 58.2097140941886 - 0.613244546646816*i
x7 = 4.27777019627643
x8 = 54.5432526537131
x9 = 83.342455322907 + 0.613244546646816*i
x10 = -92.5867332781215 - 0.613244546646816*i
x11 = 89.6256406300865 - 0.613244546646816*i
x12 = -32.8964728599154 - 0.613244546646816*i
x13 = 26.268918771405
x14 = -58.0292140886337 - 0.613244546646816*i
x15 = 89.6256406300865 + 0.613244546646816*i
x16 = 32.5521040785846
x17 = 55.0681214405988 - 0.613244546646816*i
x18 = -80.0203626637623 - 0.613244546646816*i
x19 = -54.8876214350439 - 0.613244546646816*i
x20 = 61.3513067477784 - 0.613244546646816*i
x21 = -14.0469169383766 - 0.613244546646816*i
x22 = 1.66104632957233 - 0.613244546646816*i
x23 = -2.00541511090316
x24 = -20.3301022455562 - 0.613244546646816*i
x25 = -76.8787700101725 + 0.613244546646816*i
x26 = 23.6521949047009 + 0.613244546646816*i
x27 = -45.9877122611603
x28 = -4.62213897760726 - 0.613244546646816*i
x29 = 82.8175865360213
x30 = 98.5255498039702
x31 = -36.0380655135052 - 0.613244546646816*i
x32 = -17.7133783788521
x33 = -39.7045269539807
x34 = 67.634492054958 - 0.613244546646816*i
x35 = 70.2512159216621
x36 = 17.3690095975213 + 0.613244546646816*i
x37 = 83.342455322907 - 0.613244546646816*i
x38 = 76.5344012288417
x39 = -42.3212508206848 - 0.613244546646816*i
x40 = -89.9700094114174
x41 = -61.6956755291092
x42 = 92.2423644967906
x43 = -20.3301022455562 + 0.613244546646816*i
x44 = 48.2600673465335
x45 = -71.1204534898786
x46 = -86.3035479709419 + 0.613244546646816*i
x47 = -49.1293049147501
x48 = -10.9053242847868 - 0.613244546646816*i
x49 = -48.6044361278644 - 0.613244546646816*i
x50 = 38.8352893857642
x51 = 29.9353802118805 - 0.613244546646816*i
x52 = 85.959179189611
x53 = 73.9176773621376 - 0.613244546646816*i
x54 = -7.76373163119705 - 0.613244546646816*i
x55 = -29.7548802063256 - 0.613244546646816*i
x56 = -11.4301930716725
x57 = 36.2185655190601 - 0.613244546646816*i
x58 = 60.8264379608927
x59 = -86.3035479709419 - 0.613244546646816*i
x60 = 45.1184746929437
x61 = 95.9088259372661 - 0.613244546646816*i
x62 = -64.3123993958133 + 0.613244546646816*i
x63 = 33.0769728654703 - 0.613244546646816*i
x64 = 45.6433434798294 - 0.613244546646816*i
x65 = -67.9788608362888
x66 = -51.7460287814542 - 0.613244546646816*i
x67 = 99.0504185908559 - 0.613244546646816*i
x68 = 20.5106022511111 + 0.613244546646816*i
x69 = -98.8699185853011 + 0.613244546646816*i
x70 = 63.9680306144825
x71 = 51.926528787009 - 0.613244546646816*i
x72 = 39.3601581726498 - 0.613244546646816*i
x73 = 19.9857334642254
x74 = -55.4124902219296
x75 = -70.5955847029929 - 0.613244546646816*i
x76 = -93.1116020650072
x77 = 7.94423163675192 - 0.613244546646816*i
x78 = -64.3123993958133 - 0.613244546646816*i
x79 = -33.4213416468011
x80 = 67.634492054958 + 0.613244546646816*i
x81 = -83.6868241042378
x82 = -99.3947873721867
x83 = 11.0858242903417 - 0.613244546646816*i
x84 = 23.6521949047009 - 0.613244546646816*i
x85 = 80.2008626693172 - 0.613244546646816*i
x86 = 16.8441408106356
x87 = -27.1381563396215
x88 = -77.4036387970582
x89 = 14.2274169439315 - 0.613244546646816*i
x90 = -5.14700776449295
x91 = -73.7371773565827 - 0.613244546646816*i
x92 = -23.9965636860317
x92 = -23.9965636860317