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tg(x)^2+2*cos(2x)-5=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   2                        
tan (x) + 2*cos(2*x) - 5 = 0
$$\left(2 \cos{\left(2 x \right)} + \tan^{2}{\left(x \right)}\right) - 5 = 0$$
Gráfica
Respuesta rápida [src]
          /   _____________\
          |  /         ___ |
x1 = -atan\\/  3 + 2*\/ 3  /
$$x_{1} = - \operatorname{atan}{\left(\sqrt{3 + 2 \sqrt{3}} \right)}$$
         /   _____________\
         |  /         ___ |
x2 = atan\\/  3 + 2*\/ 3  /
$$x_{2} = \operatorname{atan}{\left(\sqrt{3 + 2 \sqrt{3}} \right)}$$
             /   ______________\
             |  /          ___ |
x3 = -I*atanh\\/  -3 + 2*\/ 3  /
$$x_{3} = - i \operatorname{atanh}{\left(\sqrt{-3 + 2 \sqrt{3}} \right)}$$
            /   ______________\
            |  /          ___ |
x4 = I*atanh\\/  -3 + 2*\/ 3  /
$$x_{4} = i \operatorname{atanh}{\left(\sqrt{-3 + 2 \sqrt{3}} \right)}$$
x4 = i*atanh(sqrt(-3 + 2*sqrt(3)))
Suma y producto de raíces [src]
suma
      /   _____________\       /   _____________\          /   ______________\          /   ______________\
      |  /         ___ |       |  /         ___ |          |  /          ___ |          |  /          ___ |
- atan\\/  3 + 2*\/ 3  / + atan\\/  3 + 2*\/ 3  / - I*atanh\\/  -3 + 2*\/ 3  / + I*atanh\\/  -3 + 2*\/ 3  /
$$\left(\left(- \operatorname{atan}{\left(\sqrt{3 + 2 \sqrt{3}} \right)} + \operatorname{atan}{\left(\sqrt{3 + 2 \sqrt{3}} \right)}\right) - i \operatorname{atanh}{\left(\sqrt{-3 + 2 \sqrt{3}} \right)}\right) + i \operatorname{atanh}{\left(\sqrt{-3 + 2 \sqrt{3}} \right)}$$
=
0
$$0$$
producto
     /   _____________\     /   _____________\ /        /   ______________\\        /   ______________\
     |  /         ___ |     |  /         ___ | |        |  /          ___ ||        |  /          ___ |
-atan\\/  3 + 2*\/ 3  /*atan\\/  3 + 2*\/ 3  /*\-I*atanh\\/  -3 + 2*\/ 3  //*I*atanh\\/  -3 + 2*\/ 3  /
$$i \operatorname{atanh}{\left(\sqrt{-3 + 2 \sqrt{3}} \right)} - i \operatorname{atanh}{\left(\sqrt{-3 + 2 \sqrt{3}} \right)} - \operatorname{atan}{\left(\sqrt{3 + 2 \sqrt{3}} \right)} \operatorname{atan}{\left(\sqrt{3 + 2 \sqrt{3}} \right)}$$
=
      /   _____________\       /   ______________\
     2|  /         ___ |      2|  /          ___ |
-atan \\/  3 + 2*\/ 3  /*atanh \\/  -3 + 2*\/ 3  /
$$- \operatorname{atan}^{2}{\left(\sqrt{3 + 2 \sqrt{3}} \right)} \operatorname{atanh}^{2}{\left(\sqrt{-3 + 2 \sqrt{3}} \right)}$$
-atan(sqrt(3 + 2*sqrt(3)))^2*atanh(sqrt(-3 + 2*sqrt(3)))^2
Respuesta numérica [src]
x1 = 42.0367663907535
x2 = -324.780105213835
x3 = 23.9366793346322
x4 = -42.0367663907535
x5 = -96.1933103671974
x6 = -74.2021617920689
x7 = 8.22871606668322
x8 = 30.2198646418118
x9 = -86.0190635410106
x10 = -67.9189764848893
x11 = -83.6269397528383
x12 = -79.735878233831
x13 = 57.7447296587024
x14 = 60.8863223122922
x15 = -52.2110132169403
x16 = -8.22871606668322
x17 = 26.3288031228045
x18 = 428.452662782298
x19 = 1.94553075950364
x20 = 4.33765454767595
x21 = -45.9278279097607
x22 = 89.1606561946004
x23 = -30.2198646418118
x24 = -57.7447296587024
x25 = 74.2021617920689
x26 = -17.6534940274526
x27 = 49553.5369869659
x28 = -13.7624325084453
x29 = 45.9278279097607
x30 = 80.4853470992485
x31 = -35.7535810835739
x32 = 52.2110132169403
x33 = 70.3111002730616
x34 = 71.0605691384791
x35 = 96.1933103671974
x36 = -1.94553075950364
x37 = -39.6446426025812
x38 = 86.0190635410106
x39 = -20.0456178156249
x40 = -89.9101250600178
x41 = 13.7624325084453
x42 = 48.3199516979331
x43 = -23.9366793346322
x44 = 67.9189764848893
x45 = -61.6357911777097
x46 = -64.027914965882
x47 = 20.0456178156249
x48 = 64.027914965882
x49 = 92.3022488481902
x49 = 92.3022488481902