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tan(x)+2*cot(x)-5=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
tan(x) + 2*cot(x) - 5 = 0
$$\left(\tan{\left(x \right)} + 2 \cot{\left(x \right)}\right) - 5 = 0$$
Gráfica
Respuesta rápida [src]
         /      ____\
         |5   \/ 17 |
x1 = atan|- - ------|
         \2     2   /
$$x_{1} = \operatorname{atan}{\left(\frac{5}{2} - \frac{\sqrt{17}}{2} \right)}$$
         /      ____\
         |5   \/ 17 |
x2 = atan|- + ------|
         \2     2   /
$$x_{2} = \operatorname{atan}{\left(\frac{\sqrt{17}}{2} + \frac{5}{2} \right)}$$
x2 = atan(sqrt(17)/2 + 5/2)
Suma y producto de raíces [src]
suma
    /      ____\       /      ____\
    |5   \/ 17 |       |5   \/ 17 |
atan|- - ------| + atan|- + ------|
    \2     2   /       \2     2   /
$$\operatorname{atan}{\left(\frac{5}{2} - \frac{\sqrt{17}}{2} \right)} + \operatorname{atan}{\left(\frac{\sqrt{17}}{2} + \frac{5}{2} \right)}$$
=
    /      ____\       /      ____\
    |5   \/ 17 |       |5   \/ 17 |
atan|- + ------| + atan|- - ------|
    \2     2   /       \2     2   /
$$\operatorname{atan}{\left(\frac{5}{2} - \frac{\sqrt{17}}{2} \right)} + \operatorname{atan}{\left(\frac{\sqrt{17}}{2} + \frac{5}{2} \right)}$$
producto
    /      ____\     /      ____\
    |5   \/ 17 |     |5   \/ 17 |
atan|- - ------|*atan|- + ------|
    \2     2   /     \2     2   /
$$\operatorname{atan}{\left(\frac{5}{2} - \frac{\sqrt{17}}{2} \right)} \operatorname{atan}{\left(\frac{\sqrt{17}}{2} + \frac{5}{2} \right)}$$
=
    /      ____\     /      ____\
    |5   \/ 17 |     |5   \/ 17 |
atan|- + ------|*atan|- - ------|
    \2     2   /     \2     2   /
$$\operatorname{atan}{\left(\frac{5}{2} - \frac{\sqrt{17}}{2} \right)} \operatorname{atan}{\left(\frac{\sqrt{17}}{2} + \frac{5}{2} \right)}$$
atan(5/2 + sqrt(17)/2)*atan(5/2 - sqrt(17)/2)
Respuesta numérica [src]
x1 = -71.843425851427
x2 = 75.8114288672933
x3 = 267.448580736271
x4 = 82.0946141744729
x5 = 13.9213573198657
x6 = -96.0343855557771
x7 = 2124.12983900784
x8 = -100.117759733735
x9 = 44.3955023313954
x10 = -58.3352737126996
x11 = -27.8611287011699
x12 = 88.3777994816525
x13 = -65.5602405442474
x14 = -87.5513891193759
x15 = -45.7689030983404
x16 = -83.4680149414179
x17 = -77.1848296342383
x18 = 98.7443589667901
x19 = -7127.8605258141
x20 = -30.0609398303914
x21 = 31.8291317170362
x22 = -108.600756170136
x23 = -5.86998012604131
x24 = -37.2859066619392
x25 = 132.36009663191
x26 = 70.4700250844819
x27 = 50.678687638575
x28 = 22.4043537562668
x29 = -74.0432369806485
x30 = -56.135462583478
x31 = -49.8522772762984
x32 = 38.1123170242158
x33 = -42.6273104447506
x34 = 53.8202802921648
x35 = -23.7777545232118
x36 = 57.9036544701228
x37 = 92.4611736596105
x38 = -52.9938699298882
x39 = -81.2682038121963
x40 = -78.1266111586066
x41 = -1.78660594808329
x42 = -12.1531654332209
x43 = -21.5779433939903
x44 = -67.760051673469
x45 = 64.1868397773024
x46 = -89.7512002485975
x47 = -52.05208840552
x48 = 47.5370949849852
x49 = -43.5690919691188
x50 = 60.1034655993443
x51 = 20.2045426270453
x52 = 66.3866509065239
x53 = 25.5459464098566
x54 = -11.2113839088527
x55 = -34.1443140083494
x56 = -323.17083813861
x57 = 42.1956912021738
x58 = 204.616727664475
x59 = 86.1779883524309
x60 = -93.8345744265555
x61 = 108.169136927559
x62 = -8.06979125526288
x63 = 9.83798314190766
x64 = -106.400945040915
x65 = 16.1211684490872
x66 = 35.9125058949942
x66 = 35.9125058949942