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tgx=1/(sqrt(8)-3)+sqrt(8) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
             1         ___
tan(x) = --------- + \/ 8 
           ___            
         \/ 8  - 3        
$$\tan{\left(x \right)} = \frac{1}{-3 + \sqrt{8}} + \sqrt{8}$$
Solución detallada
Tenemos la ecuación
$$\tan{\left(x \right)} = \frac{1}{-3 + \sqrt{8}} + \sqrt{8}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(- \frac{1}{3 - 2 \sqrt{2}} + 2 \sqrt{2} \right)}$$
O
$$x = \pi n + \operatorname{atan}{\left(- \frac{1}{3 - 2 \sqrt{2}} + 2 \sqrt{2} \right)}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
x1 = -atan(3)
$$x_{1} = - \operatorname{atan}{\left(3 \right)}$$
x1 = -atan(3)
Suma y producto de raíces [src]
suma
-atan(3)
$$- \operatorname{atan}{\left(3 \right)}$$
=
-atan(3)
$$- \operatorname{atan}{\left(3 \right)}$$
producto
-atan(3)
$$- \operatorname{atan}{\left(3 \right)}$$
=
-atan(3)
$$- \operatorname{atan}{\left(3 \right)}$$
-atan(3)
Respuesta numérica [src]
x1 = -64.0808988441941
x2 = -35.806564961886
x3 = 67.8659926065772
x4 = 17.6005101491405
x5 = 58.4412146458078
x6 = -45.2313429226554
x7 = -51.5145282298349
x8 = 64.7243999529874
x9 = -86.0720474193227
x10 = 240.653588554016
x11 = 96.1403264888853
x12 = -73.5056768049635
x13 = -29.5233796547064
x14 = 36.4500660706793
x15 = 86.715548528116
x16 = -1.24904577239825
x17 = 52.1580293386282
x18 = -13.8154163867574
x19 = -79.7888621121431
x20 = 14.4589174955507
x21 = -48.3729355762452
x22 = 23.8836954563201
x23 = -26.3817870011166
x24 = 2222.99855296918
x25 = 89.8571411817058
x26 = -57.7977135370145
x27 = 80.4323632209364
x28 = 30.1668807634997
x29 = 45.8748440314486
x30 = 42.7332513778588
x31 = -42.0897502690656
x32 = -20.098601693937
x33 = 8.17573218837112
x34 = 74.1491779137568
x35 = -7.53223107957784
x36 = 77.2907705673466
x37 = 1.89254688119154
x37 = 1.89254688119154