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(2sin^2*x-√3sinx)/(2cosx+1)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
     2        __________    
2*sin (x) - \/ 3*sin(x)     
------------------------ = 0
      2*cos(x) + 1          
$$\frac{- \sqrt{3 \sin{\left(x \right)}} + 2 \sin^{2}{\left(x \right)}}{2 \cos{\left(x \right)} + 1} = 0$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
         /3 ___\
         |\/ 6 |
x2 = asin|-----|
         \  2  /
$$x_{2} = \operatorname{asin}{\left(\frac{\sqrt[3]{6}}{2} \right)}$$
x2 = asin(6^(1/3)/2)
Suma y producto de raíces [src]
suma
    /3 ___\
    |\/ 6 |
asin|-----|
    \  2  /
$$\operatorname{asin}{\left(\frac{\sqrt[3]{6}}{2} \right)}$$
=
    /3 ___\
    |\/ 6 |
asin|-----|
    \  2  /
$$\operatorname{asin}{\left(\frac{\sqrt[3]{6}}{2} \right)}$$
producto
      /3 ___\
      |\/ 6 |
0*asin|-----|
      \  2  /
$$0 \operatorname{asin}{\left(\frac{\sqrt[3]{6}}{2} \right)}$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = -74.2583989416849
x2 = -99.3911401704033
x3 = -17.7097311770687
x4 = -36.5592870986074
x5 = 70.2548631234455
x6 = -23.9929164842482
x7 = 38.8389365875476
x8 = 76.5380484306251
x9 = -93.1079548632237
x10 = 2.0017679091197
x11 = 52.2672503665564
x12 = -41.9805292411374
x13 = -80.5415842488645
x14 = 57.6884925090864
x15 = 63.971677816266
x16 = -55.4088430201462
x17 = 45.9840650593768
x18 = 19.9893806660089
x19 = 82.8212337378047
x20 = -11.4265458698891
x21 = -67.9752136345054
x22 = 26.2725659731884
x23 = 96.2495475168135
x24 = 7.42301005164968
x25 = 89.1044190449843
x26 = 0.0
x27 = 32.555751280368
x28 = 13.7061953588293
x29 = -61.6920283273258
x30 = -86.8247695560441
x31 = -30.2761017914278
x31 = -30.2761017914278