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tan(x-pi/8)=-1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   /    pi\     
tan|x - --| = -1
   \    8 /     
$$\tan{\left(x - \frac{\pi}{8} \right)} = -1$$
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      8  
$$x_{1} = - \frac{\pi}{8}$$
x1 = -pi/8
Suma y producto de raíces [src]
suma
-pi 
----
 8  
$$- \frac{\pi}{8}$$
=
-pi 
----
 8  
$$- \frac{\pi}{8}$$
producto
-pi 
----
 8  
$$- \frac{\pi}{8}$$
=
-pi 
----
 8  
$$- \frac{\pi}{8}$$
-pi/8
Respuesta numérica [src]
x1 = -66.3661448070844
x2 = -72.649330114264
x3 = -53.7997741927252
x4 = -38.0918109247762
x5 = -91.4988860358027
x6 = 40.4480054149686
x7 = -82.0741080750334
x8 = 46.7311907221482
x9 = 2.74889357189107
x10 = 34.164820107789
x11 = -47.5165888855456
x12 = -0.392699081698724
x13 = 9.03207887907065
x14 = -34.9502182711865
x15 = -78.9325154214436
x16 = -75.7909227678538
x17 = -31.8086256175967
x18 = 65.5807466436869
x19 = 90.7134878724053
x20 = -3.53429173528852
x21 = -85.2157007286231
x22 = 68.7223392972767
x23 = 84.4303025652257
x24 = 21.5984494934298
x25 = -60.0829594999048
x26 = 71.8639319508665
x27 = 87.5718952188155
x28 = -69.5077374606742
x29 = 15.3152641862502
x30 = 24.7400421470196
x31 = 18.45685683984
x32 = -9.8174770424681
x33 = 31.0232274541992
x34 = -94.6404786893925
x35 = -44.3749962319558
x36 = -12.9590696960579
x37 = 96.9966731795849
x38 = 59.2975613365073
x39 = -41.233403578366
x40 = -50.6581815391354
x41 = 81.2887099116359
x42 = 12.1736715326604
x43 = 78.1471172580461
x44 = 100.138265833175
x45 = -100.923663996572
x46 = 49.872783375738
x47 = -63.2245521534946
x48 = 27.8816348006094
x49 = -19.2422550032375
x50 = 75.0055246044563
x51 = -28.6670329640069
x52 = -25.5254403104171
x53 = 43.5895980685584
x54 = 93.8550805259951
x55 = -16.1006623496477
x56 = 62.4391539900971
x57 = -22.3838476568273
x58 = -56.941366846315
x59 = 5.89048622548086
x60 = 56.1559686829176
x61 = -6.67588438887831
x62 = 37.3064127613788
x63 = -88.3572933822129
x64 = 53.0143760293278
x65 = -97.7820713429823
x65 = -97.7820713429823