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ln*(sqrt(5)+tg(x/2))/ln(sqrt(5)-tg(x/2)) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   /  ___      /x\\    
log|\/ 5  + tan|-||    
   \           \2//    
------------------- = 0
   /  ___      /x\\    
log|\/ 5  - tan|-||    
   \           \2//    
$$\frac{\log{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{5} \right)}}{\log{\left(- \tan{\left(\frac{x}{2} \right)} + \sqrt{5} \right)}} = 0$$
Gráfica
Respuesta rápida [src]
           /      ___\
x1 = 2*atan\1 - \/ 5 /
$$x_{1} = 2 \operatorname{atan}{\left(1 - \sqrt{5} \right)}$$
x1 = 2*atan(1 - sqrt(5))
Suma y producto de raíces [src]
suma
      /      ___\
2*atan\1 - \/ 5 /
$$2 \operatorname{atan}{\left(1 - \sqrt{5} \right)}$$
=
      /      ___\
2*atan\1 - \/ 5 /
$$2 \operatorname{atan}{\left(1 - \sqrt{5} \right)}$$
producto
      /      ___\
2*atan\1 - \/ 5 /
$$2 \operatorname{atan}{\left(1 - \sqrt{5} \right)}$$
=
      /      ___\
2*atan\1 - \/ 5 /
$$2 \operatorname{atan}{\left(1 - \sqrt{5} \right)}$$
2*atan(1 - sqrt(5))
Respuesta numérica [src]
x1 = -64.6130157716238
x2 = 98.7498022150454
x3 = 17.0683932217108
x4 = -58.3298304644442
x5 = 61.0506903719679
x6 = 35.9179491432496
x7 = -8.06434800700754
x8 = 79.9002462935067
x9 = -77.179386385983
x10 = -45.7634598500851
x11 = -52.0466451572646
x12 = -39.4802745429055
x13 = -33.1970892357259
x14 = 54.7675050647883
x15 = -83.4625716931626
x16 = -20.6307186213667
x17 = 4.50202260735164
x18 = -14.3475333141871
x19 = 42.2011344504292
x20 = 10.7852079145312
x21 = -1.78116269982795
x22 = -96.0289423075217
x23 = 92.4666169078658
x24 = 67.3338756791475
x25 = -102.312127614701
x26 = -89.7457570003422
x27 = 73.6170609863271
x28 = 29.63476383607
x29 = -26.9139039285463
x30 = 23.3515785288904
x31 = -70.8962010788034
x32 = 86.1834316006863
x33 = 48.4843197576087
x33 = 48.4843197576087