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Ecuación x^2+5x=36
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Ecuación 9-7(x+3)=5-6x
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Ecuación 4x-5=3+2(x+1)
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Ecuación 6/(x-2)+5/x=3
- Expresar {x} en función de y en la ecuación:
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- -20*x+14*y=16
- -7*x+15*y=-11
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Expresiones idénticas
- Tg2x= uno
- Tg2x es igual a 1
- Tg2x es igual a uno
Tg2x=1 la ecuación
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Solución
Solución detallada
Tenemos la ecuación
$$\tan{\left(2 x \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$2 x = \pi n + \operatorname{atan}{\left(1 \right)}$$
O
$$2 x = \pi n + \frac{\pi}{4}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{2} + \frac{\pi}{8}$$
$$\tan{\left(2 x \right)} = 1$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$2 x = \pi n + \operatorname{atan}{\left(1 \right)}$$
O
$$2 x = \pi n + \frac{\pi}{4}$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$2$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{2} + \frac{\pi}{8}$$
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 = 67.9369411338793
x2 = -2.74889357189107
x3 = 97.7820713429823
x4 = 52.2289778659303
x5 = -13.7444678594553
x6 = 82.0741080750334
x7 = 5.10508806208341
x8 = 44.3749962319558
x9 = 63.2245521534946
x10 = 1.96349540849362
x11 = 80.5033117482384
x12 = 49.0873852123405
x13 = -64.009950316892
x14 = 100.923663996572
x15 = 27.096236637212
x16 = -20.0276531666349
x17 = -49.872783375738
x18 = -38.8772090881737
x19 = 22.3838476568273
x20 = 23.9546439836222
x21 = -1.17809724509617
x22 = 60.0829594999048
x23 = 94.6404786893925
x24 = 56.941366846315
x25 = 0.392699081698724
x26 = -31.0232274541992
x27 = 96.2112750161874
x28 = -56.1559686829176
x29 = -7.46128255227576
x30 = -46.7311907221482
x31 = -51.4435797025329
x32 = 20.8130513300324
x33 = -24.7400421470196
x34 = -90.7134878724053
x35 = -100.138265833175
x36 = 74.2201264410589
x37 = -12.1736715326604
x38 = -79.717913584841
x39 = -65.5807466436869
x40 = -87.5718952188155
x41 = -23.1692458202247
x42 = 28.6670329640069
x43 = 86.786497055418
x44 = 45.9457925587507
x45 = -34.164820107789
x46 = 34.9502182711865
x47 = -59.2975613365073
x48 = -15.3152641862502
x49 = -89.1426915456104
x50 = -5.89048622548086
x51 = -43.5895980685584
x52 = -16.8860605130451
x53 = -57.7267650097125
x54 = -35.7356164345839
x55 = 50.6581815391354
x56 = -86.0010988920206
x57 = 72.649330114264
x58 = 53.7997741927252
x59 = -78.1471172580461
x60 = 30.2378292908018
x61 = -29.4524311274043
x62 = 89.9280897090078
x63 = -21.5984494934298
x64 = -95.42587685279
x65 = -73.4347282776614
x66 = -75.0055246044563
x67 = -27.8816348006094
x68 = -93.8550805259951
x69 = 19.2422550032375
x70 = 71.0785337874691
x71 = 8.24668071567321
x72 = 9.8174770424681
x73 = -45.1603943953533
x74 = 88.3572933822129
x75 = 38.0918109247762
x76 = 36.5210145979813
x77 = 78.9325154214436
x78 = 12.9590696960579
x79 = 41.233403578366
x80 = 66.3661448070844
x81 = -37.3064127613788
x82 = 16.1006623496477
x83 = -60.8683576633022
x84 = 85.2157007286231
x85 = -81.2887099116359
x86 = -96.9966731795849
x87 = 14.5298660228528
x88 = -68.7223392972767
x89 = -42.0188017417635
x90 = 64.7953484802895
x91 = -71.8639319508665
x92 = 75.7909227678538
x93 = 6.67588438887831
x94 = -53.0143760293278
x95 = -67.1515429704818
x96 = 31.8086256175967
x97 = 42.8041999051609
x98 = -82.8595062384308
x99 = 58.5121631731099
x100 = -9.03207887907065
x101 = 93.0696823625976
x101 = 93.0696823625976