Sr Examen
5sin^2x+sinxcosx=0 la ecuación
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Solución
Ha introducido
[src]
2 5*sin (x) + sin(x)*cos(x) = 0
$$5 \sin^{2}{\left(x \right)} + \sin{\left(x \right)} \cos{\left(x \right)} = 0$$
Respuesta rápida
[src]
x1 = 0
$$x_{1} = 0$$
/ ____\ x2 = 2*atan\5 - \/ 26 /
$$x_{2} = 2 \operatorname{atan}{\left(5 - \sqrt{26} \right)}$$
/ ____\ x3 = 2*atan\5 + \/ 26 /
$$x_{3} = 2 \operatorname{atan}{\left(5 + \sqrt{26} \right)}$$
x3 = 2*atan(5 + sqrt(26))
Suma y producto de raíces
[src]
suma
/ ____\ / ____\ 2*atan\5 - \/ 26 / + 2*atan\5 + \/ 26 /
$$2 \operatorname{atan}{\left(5 - \sqrt{26} \right)} + 2 \operatorname{atan}{\left(5 + \sqrt{26} \right)}$$
=
/ ____\ / ____\ 2*atan\5 + \/ 26 / + 2*atan\5 - \/ 26 /
$$2 \operatorname{atan}{\left(5 - \sqrt{26} \right)} + 2 \operatorname{atan}{\left(5 + \sqrt{26} \right)}$$
producto
/ ____\ / ____\ 0*2*atan\5 - \/ 26 /*2*atan\5 + \/ 26 /
$$0 \cdot 2 \operatorname{atan}{\left(5 - \sqrt{26} \right)} 2 \operatorname{atan}{\left(5 + \sqrt{26} \right)}$$
=
0
$$0$$
0
Respuesta numérica
[src]
x1 = -43.9822971502571
x2 = -9.62217352061926
x3 = 223.053078404875
x4 = -3.33898821343967
x5 = 2349999.26947947
x6 = 97.1919767014337
x7 = 68.9176428191256
x8 = 28.2743338823081
x9 = -81.6814089933346
x10 = -15.707963267949
x11 = 72.2566310325652
x12 = -31.6133220957478
x13 = -25.3301367885682
x14 = -18.8495559215388
x15 = 25.1327412287183
x16 = 18.6521603616889
x17 = 81.6814089933346
x18 = 69.1150383789755
x19 = -21.9911485751286
x20 = -91.3035825139539
x21 = -78.5398163397448
x22 = 90.9087913942541
x23 = -263.893782901543
x24 = 24.9353456688685
x25 = 53.4070751110265
x26 = -72.2566310325652
x27 = 15.707963267949
x28 = 50.2654824574367
x29 = -28.2743338823081
x30 = -62.8318530717959
x31 = -6.28318530717959
x32 = 3.14159265358979
x33 = 37.5017162832276
x34 = -84.8230016469244
x35 = -254.469004940773
x36 = -87.9645943005142
x37 = -85.0203972067743
x38 = -34.5575191894877
x39 = 2.94419709373991
x40 = 0.0
x41 = 31.4159265358979
x42 = 62.634457511946
x43 = -65.9734457253857
x44 = 47.1238898038469
x45 = 91.106186954104
x46 = 46.926494243997
x47 = 6.28318530717959
x48 = -47.1238898038469
x49 = -160.221225333079
x50 = 94.2477796076938
x51 = 65.9734457253857
x52 = -56.5486677646163
x53 = -63.0292486316457
x54 = 21.9911485751286
x55 = 207.147719577076
x56 = -116.238928182822
x57 = -41.0381000565172
x58 = -75.5956192460049
x59 = -50.4628780172866
x60 = 75.2008281263052
x61 = 75.398223686155
x62 = 87.9645943005142
x63 = -37.6991118430775
x64 = -12.5663706143592
x65 = 97.3893722612836
x66 = -19.0469514813886
x67 = 78.342420779895
x68 = -100.530964914873
x69 = 12.3689750545093
x70 = 59.6902604182061
x71 = -53.6044706708764
x72 = 43.9822971502571
x73 = 56.3512722047664
x74 = -50.2654824574367
x75 = 37.6991118430775
x76 = -40.8407044966673
x77 = -59.6902604182061
x78 = 84.6256060870745
x79 = -97.5867678211335
x80 = 9.42477796076938
x81 = 100.333569355023
x82 = 62.8318530717959
x83 = 34.3601236296378
x84 = 40.6433089368174
x85 = -47.3212853636968
x86 = -69.3124339388253
x87 = -109.955742875643
x88 = -94.2477796076938
x88 = -94.2477796076938