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2tgx–9ctgx+3=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
2*tan(x) - 9*cot(x) + 3 = 0
$$\left(2 \tan{\left(x \right)} - 9 \cot{\left(x \right)}\right) + 3 = 0$$
Gráfica
Respuesta rápida [src]
x1 = atan(3/2)
$$x_{1} = \operatorname{atan}{\left(\frac{3}{2} \right)}$$
x2 = -atan(3)
$$x_{2} = - \operatorname{atan}{\left(3 \right)}$$
x2 = -atan(3)
Suma y producto de raíces [src]
suma
atan(3/2) - atan(3)
$$- \operatorname{atan}{\left(3 \right)} + \operatorname{atan}{\left(\frac{3}{2} \right)}$$
=
-atan(3) + atan(3/2)
$$- \operatorname{atan}{\left(3 \right)} + \operatorname{atan}{\left(\frac{3}{2} \right)}$$
producto
atan(3/2)*(-atan(3))
$$\operatorname{atan}{\left(\frac{3}{2} \right)} \left(- \operatorname{atan}{\left(3 \right)}\right)$$
=
-atan(3)*atan(3/2)
$$- \operatorname{atan}{\left(\frac{3}{2} \right)} \operatorname{atan}{\left(3 \right)}$$
-atan(3)*atan(3/2)
Respuesta numérica [src]
x1 = 8.17573218837112
x2 = 88.9473880237615
x3 = -64.0808988441941
x4 = 49.0164366850384
x5 = -86.9818005772669
x6 = 61.5828072993976
x7 = 70.0978321022228
x8 = 63.8146467950432
x9 = -52.4242813877792
x10 = -57.7977135370145
x11 = -93.2649858844465
x12 = -55.565874041369
x13 = 74.1491779137568
x14 = 27.0252881099099
x15 = -77.5570226164975
x16 = -7.53223107957784
x17 = -64.9906520021383
x18 = -49.2826887341894
x19 = 83.5739558745262
x20 = 77.2907705673466
x21 = 48.1066835270942
x22 = -24.149947505471
x23 = 60.6730541414534
x24 = 33.3084734170895
x25 = -92.3552327265023
x26 = 76.3810174094024
x27 = 82.664202716582
x28 = 58.4412146458078
x29 = 54.3898688342738
x30 = 23.8836954563201
x31 = 71.007585260167
x32 = -79.7888621121431
x33 = 38.6819055663249
x34 = 98.3721659845309
x35 = -16.9570090403472
x36 = -42.9995034270098
x37 = 26.1155349519657
x38 = -96.4065785380363
x39 = -70.3640841513737
x40 = -98.6384180336818
x41 = -39.85791077342
x42 = 22.9739422983759
x43 = 36.4500660706793
x44 = 39.5916587242691
x45 = 11.3173248419609
x46 = 5.03413953478133
x47 = 10.4075716840167
x48 = 96.1403264888853
x49 = -48.3729355762452
x50 = -83.8402079236771
x51 = -21.0083548518812
x52 = 52.1580293386282
x53 = -54.6561208834247
x54 = 85.8057953701718
x55 = -11.5835768911118
x56 = 14.4589174955507
x57 = -71.2738373093179
x58 = -5.30039158393226
x59 = -99.5481711916261
x60 = -13.8154163867574
x61 = 4.12438637683712
x62 = -4.39063842598805
x63 = -60.9393061906043
x64 = -74.4154299629077
x65 = -10.6738237331676
x66 = 92.0889806773513
x67 = -76.6472694585533
x68 = 1.89254688119154
x69 = 55.299621992218
x70 = 44.9650908735044
x71 = -29.5233796547064
x72 = -17.8667621982914
x73 = 32.3987202591453
x74 = -2.15879893034246
x75 = -32.6649723082962
x76 = -90.1233932308567
x77 = 17.6005101491405
x78 = 92.9987338352955
x79 = -46.1410960805996
x80 = 80.4323632209364
x81 = -38.9481576154758
x82 = 45.8748440314486
x83 = 19.8323496447861
x84 = -82.9304547657329
x85 = -20.098601693937
x86 = 99.2819191424751
x87 = 89.8571411817058
x88 = -86.0720474193227
x89 = 41.8234982199146
x90 = -26.3817870011166
x91 = -27.2915401590608
x92 = -33.5747254662404
x93 = -42.0897502690656
x94 = -68.1322446557281
x95 = -61.8490593485485
x96 = 30.1668807634997
x97 = 16.6907569911963
x98 = 67.8659926065772
x99 = -35.806564961886
x100 = 66.956239448633
x100 = 66.956239448633