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(sqrt2*sin(x)+1)*(sqrt(-5cos(x)))=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
/  ___           \   ___________    
\\/ 2 *sin(x) + 1/*\/ -5*cos(x)  = 0
$$\sqrt{- 5 \cos{\left(x \right)}} \left(\sqrt{2} \sin{\left(x \right)} + 1\right) = 0$$
Gráfica
Suma y producto de raíces [src]
suma
  pi   pi   5*pi   3*pi
- -- + -- + ---- + ----
  4    2     4      2  
$$\left(\left(- \frac{\pi}{4} + \frac{\pi}{2}\right) + \frac{5 \pi}{4}\right) + \frac{3 \pi}{2}$$
=
3*pi
$$3 \pi$$
producto
-pi  pi 5*pi 3*pi
----*--*----*----
 4   2   4    2  
$$\frac{3 \pi}{2} \frac{5 \pi}{4} \cdot - \frac{\pi}{4} \frac{\pi}{2}$$
=
      4
-15*pi 
-------
   64  
$$- \frac{15 \pi^{4}}{64}$$
-15*pi^4/64
Respuesta rápida [src]
     -pi 
x1 = ----
      4  
$$x_{1} = - \frac{\pi}{4}$$
     pi
x2 = --
     2 
$$x_{2} = \frac{\pi}{2}$$
     5*pi
x3 = ----
      4  
$$x_{3} = \frac{5 \pi}{4}$$
     3*pi
x4 = ----
      2  
$$x_{4} = \frac{3 \pi}{2}$$
x4 = 3*pi/2
Respuesta numérica [src]
x1 = -0.785398163397448
x2 = 43.1968989868597
x3 = -51.0508806208341
x4 = -7.06858347057703
x5 = -44.7676953136546
x6 = -14.9225651045515
x7 = -27.4889357189107
x8 = -84.037603483527
x9 = 91.8915851175014
x10 = -95.0331777710912
x11 = 18.0641577581413
x12 = 36.9137136796801
x13 = 10.2101761241668
x14 = -32.2013246992954
x15 = -71.4712328691678
x16 = -88.7499924639117
x17 = -76.1836218495525
x18 = 66.7588438887831
x19 = -33.7721210260903
x20 = -65.1880475619882
x21 = -25.9181393921158
x22 = 87.1791961371168
x23 = 60.4756585816035
x24 = 55.7632696012188
x25 = 3.92699081698724
x26 = -38.484510006475
x27 = 99.7455667514759
x28 = -101.316363078271
x29 = -21.2057504117311
x30 = 79.3252145031423
x31 = 11.7809724509617
x32 = 29.0597320457056
x33 = 98.174770424681
x34 = -19.6349540849362
x35 = -52.621676947629
x36 = -63.6172512351933
x37 = 49.4800842940392
x38 = -258.39599575776
x39 = 93.4623814442964
x40 = -69.9004365423729
x41 = -58.9048622548086
x42 = 35.3429173528852
x43 = 73.0420291959627
x44 = 24.3473430653209
x45 = -77.7544181763474
x46 = 47.9092879672443
x47 = 5.49778714378214
x48 = 16.4933614313464
x49 = -40.0553063332699
x50 = -82.4668071567321
x51 = 62.0464549083984
x52 = 54.1924732744239
x53 = 68.329640215578
x54 = 22.776546738526
x54 = 22.776546738526