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tg(x^2-1)=1/3

tg(x^2-1)=1/3 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   / 2    \      
tan\x  - 1/ = 1/3
$$\tan{\left(x^{2} - 1 \right)} = \frac{1}{3}$$
Gráfica
Respuesta rápida [src]
        _______________
x1 = -\/ 1 + atan(1/3) 
$$x_{1} = - \sqrt{\operatorname{atan}{\left(\frac{1}{3} \right)} + 1}$$
       _______________
x2 = \/ 1 + atan(1/3) 
$$x_{2} = \sqrt{\operatorname{atan}{\left(\frac{1}{3} \right)} + 1}$$
x2 = sqrt(atan(1/3) + 1)
Suma y producto de raíces [src]
suma
    _______________     _______________
- \/ 1 + atan(1/3)  + \/ 1 + atan(1/3) 
$$- \sqrt{\operatorname{atan}{\left(\frac{1}{3} \right)} + 1} + \sqrt{\operatorname{atan}{\left(\frac{1}{3} \right)} + 1}$$
=
0
$$0$$
producto
   _______________   _______________
-\/ 1 + atan(1/3) *\/ 1 + atan(1/3) 
$$- \sqrt{\operatorname{atan}{\left(\frac{1}{3} \right)} + 1} \sqrt{\operatorname{atan}{\left(\frac{1}{3} \right)} + 1}$$
=
-1 - atan(1/3)
$$-1 - \operatorname{atan}{\left(\frac{1}{3} \right)}$$
-1 - atan(1/3)
Respuesta numérica [src]
x1 = -62.071848239403
x2 = 78.6182834979594
x3 = 50.5202433215568
x4 = -9.77596696813622
x5 = -47.968401818094
x6 = -85.7842161779292
x7 = -99.9736364329293
x8 = -79.7490142974829
x9 = -75.6034310559662
x10 = 24.0702056246913
x11 = 28.216036077249
x12 = -83.7832903309126
x13 = 17.313955430387
x14 = 20.2417587062258
x15 = -82.8784850929461
x16 = -21.738460124693
x17 = 72.13736330709
x18 = 66.2105996220557
x19 = 2.11266258734954
x20 = -89.7572577252593
x21 = 91.9871228307077
x22 = -45.6530139189564
x23 = 32.4131716568032
x24 = -32.2674591328883
x25 = 16.2854393080426
x26 = 55.4701808039131
x27 = -1.14967410790912
x28 = -36.0824210543108
x29 = 4.12670738268969
x30 = -94.8622322657208
x31 = -35.9952486285814
x32 = 36.1259283866057
x33 = 22.167774009007
x34 = -17.0396089944769
x35 = -53.8026819453324
x36 = -51.7489970087624
x37 = 45.9957998780359
x38 = 37.7420617167448
x39 = 96.014345783257
x40 = -57.7455760730912
x41 = 48.1644799505161
x42 = -8.0095944732672
x43 = 12.2055972927636
x44 = 105.150303368734
x45 = -67.6887275658829
x46 = 60.2483299805945
x47 = 89.5119155040734
x48 = 34.2510702072707
x49 = 42.0718244734579
x50 = 81.7333942283465
x51 = -69.6784213393977
x52 = 79.9653850150778
x53 = -23.8077388300645
x54 = 70.0830298154642
x55 = 73.9438501012805
x56 = 86.0219300513442
x57 = -41.9970859610315
x58 = -11.6794792117953
x59 = 52.1421077049017
x60 = -46.0299380737571
x61 = 54.0066637840714
x62 = -63.7448119586684
x63 = -55.5550694030668
x64 = 10.2466730270298
x65 = -15.9934597725186
x66 = -25.9542400856317
x67 = -29.8394448929652
x68 = 68.2203816357024
x69 = 62.9014061959186
x70 = 6.24666810367528
x71 = -2.11266258734954
x72 = 76.1417112785598
x73 = -28.0485278392975
x74 = -77.7543954774337
x75 = -5.98993069608358
x76 = 26.374490080336
x77 = 13.7774202871867
x78 = -49.925992477377
x79 = 84.2693369362031
x80 = -75.3328486315071
x81 = -59.7509079850039
x82 = -66.0918719589951
x83 = 90.1240187745976
x84 = -40.0441506825303
x85 = -14.2261618289735
x86 = 30.4129904927121
x87 = 98.0380215930818
x88 = -97.7813284601316
x89 = 8.0095944732672
x90 = 40.0441506825303
x91 = -93.6288697681966
x92 = -33.7428257731018
x93 = -91.6449612013662
x94 = -3.72667696061194
x95 = -71.809994395594
x96 = 64.2602092851508
x97 = 94.6301263514179
x97 = 94.6301263514179
Gráfico
tg(x^2-1)=1/3 la ecuación