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Expresiones idénticas
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Expresiones semejantes
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Expresiones con funciones
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- cos(x)=-3
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- cos(7*x)+cos(x)=0
- cos(2*x-pi/4)=0
- cos(x)=-(2/5)
2*cos^2(x/2)+cos(x/2)-1=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2/x\ /x\
2*cos |-| + cos|-| - 1 = 0
\2/ \2/
$$\left(2 \cos^{2}{\left(\frac{x}{2} \right)} + \cos{\left(\frac{x}{2} \right)}\right) - 1 = 0$$
Respuesta rápida
[src]
2*pi
x1 = ----
3
$$x_{1} = \frac{2 \pi}{3}$$
x2 = 2*pi
$$x_{2} = 2 \pi$$
10*pi
x3 = -----
3
$$x_{3} = \frac{10 \pi}{3}$$
x3 = 10*pi/3
Suma y producto de raíces
[src]
suma
2*pi 10*pi ---- + 2*pi + ----- 3 3
$$\left(\frac{2 \pi}{3} + 2 \pi\right) + \frac{10 \pi}{3}$$
=
6*pi
$$6 \pi$$
producto
2*pi 10*pi ----*2*pi*----- 3 3
$$\frac{10 \pi}{3} \frac{2 \pi}{3} \cdot 2 \pi$$
=
3 40*pi ------ 9
$$\frac{40 \pi^{3}}{9}$$
40*pi^3/9
Respuesta numérica
[src]
x1 = 43.9822968600926
x2 = -43.9822971745425
x3 = -85.870199198121
x4 = 31.4159268410658
x5 = 31.41592609576
x6 = -18.8495563094488
x7 = -27.2271363311115
x8 = 64.9262481741891
x9 = -64.9262481741891
x10 = 81.68140918857
x11 = -6.28318512841377
x12 = 60.7374579694027
x13 = -43.9822973986067
x14 = 6.28318528421205
x15 = 56.548667601851
x16 = 52.3598775598299
x17 = 77.4926187885482
x18 = 94.2477798755598
x19 = 23.0383461263252
x20 = -56.5486682084109
x21 = 35.6047167406843
x22 = 56.5486682051117
x23 = 27.2271363311115
x24 = 14.6607657167524
x25 = 6.28318561342858
x26 = 94.2477796093523
x27 = -94.2477794459235
x28 = 98.4365698124802
x29 = -69.1150379342023
x30 = -14.6607657167524
x31 = 85.870199198121
x32 = 18.8495563704199
x33 = -23.0383461263252
x34 = -2.0943951023932
x35 = 43.9822971694615
x36 = -60.7374579694027
x37 = -43.98229749791
x38 = -10.471975511966
x39 = 69.1150387790635
x40 = -81.6814080719744
x41 = -43.9822964552442
x42 = -48.1710873550435
x43 = -81.6814099302268
x44 = -31.4159260892593
x45 = -98.4365698124802
x46 = -73.3038285837618
x47 = -6.28318574078522
x48 = -39.7935069454707
x49 = -94.2477800329866
x50 = 94.247780040348
x51 = 2.0943951023932
x52 = 73.3038285837618
x53 = 6.28318596681062
x54 = 81.6814085534816
x55 = 18.849555631756
x56 = 69.1150380007698
x57 = -90.0589894029074
x58 = -18.8495555307123
x59 = -52.3598775598299
x60 = 48.1710873550435
x61 = -31.4159267149202
x62 = -56.5486674727921
x63 = -35.6047167406843
x64 = 90.0589894029074
x65 = 10.471975511966
x66 = 39.7935069454707
x67 = 43.9822965959331
x68 = -81.6814090382093
x69 = -69.1150386819758
x70 = -81.6814086556665
x71 = -77.4926187885482
x71 = -77.4926187885482