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- La ecuación:
-
Ecuación x^3-x^2-x-1=0
-
Ecuación 3x-2(3x+4)=10
-
Ecuación 12-4(x-3)=39-9x
-
Ecuación 0,2x+2,7=1,4-1,1x
- Expresar {x} en función de y en la ecuación:
- 7*x-1*y=0
- -11*x-3*y=14
- 2*x-15*y=-1
- -18*x-6*y=-1
-
Expresiones idénticas
- dos *sin(dos *x)+sin(x)= cero
- 2 multiplicar por seno de (2 multiplicar por x) más seno de (x) es igual a 0
- dos multiplicar por seno de (dos multiplicar por x) más seno de (x) es igual a cero
- 2sin(2x)+sin(x)=0
- 2sin2x+sinx=0
- 2*sin(2*x)+sin(x)=O
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Expresiones semejantes
- 2*sin(2*x)-sin(x)=0
- 2sin(2*x)+sin(x)-1=0
- 2sin^2x+sinx=1
- 2(sin^2)x+sinx=4
- 2*sin(2*x)+sinx=0
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Expresiones con funciones
- Seno sin
- sin(x)=1/3
- sin(6*x)=9/8
- sin(2x)=-1/2
- sin(3*x)-cos(3*x)=0
- sin(x)^(2)-sin(x)=0
- Seno sin
- sin(x)=1/3
- sin(6*x)=9/8
- sin(2x)=-1/2
- sin(3*x)-cos(3*x)=0
- sin(x)^(2)-sin(x)=0
2*sin(2*x)+sin(x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2*sin(2*x) + sin(x) = 0
$$\sin{\left(x \right)} + 2 \sin{\left(2 x \right)} = 0$$
Suma y producto de raíces
[src]
suma
/ ____\ / ____\
| 1 I*\/ 15 | | 1 I*\/ 15 |
pi - I*log|- - - --------| - I*log|- - + --------|
\ 4 4 / \ 4 4 /
$$\left(- i \log{\left(- \frac{1}{4} - \frac{\sqrt{15} i}{4} \right)} + \pi\right) - i \log{\left(- \frac{1}{4} + \frac{\sqrt{15} i}{4} \right)}$$
=
/ ____\ / ____\
| 1 I*\/ 15 | | 1 I*\/ 15 |
pi - I*log|- - - --------| - I*log|- - + --------|
\ 4 4 / \ 4 4 /
$$- i \log{\left(- \frac{1}{4} - \frac{\sqrt{15} i}{4} \right)} - i \log{\left(- \frac{1}{4} + \frac{\sqrt{15} i}{4} \right)} + \pi$$
producto
/ / ____\\ / / ____\\
| | 1 I*\/ 15 || | | 1 I*\/ 15 ||
0*pi*|-I*log|- - - --------||*|-I*log|- - + --------||
\ \ 4 4 // \ \ 4 4 //
$$- i \log{\left(- \frac{1}{4} + \frac{\sqrt{15} i}{4} \right)} 0 \pi \left(- i \log{\left(- \frac{1}{4} - \frac{\sqrt{15} i}{4} \right)}\right)$$
=
0
$$0$$
0
Respuesta rápida
[src]
x1 = 0
$$x_{1} = 0$$
x2 = pi
$$x_{2} = \pi$$
/ ____\
| 1 I*\/ 15 |
x3 = -I*log|- - - --------|
\ 4 4 /
$$x_{3} = - i \log{\left(- \frac{1}{4} - \frac{\sqrt{15} i}{4} \right)}$$
/ ____\
| 1 I*\/ 15 |
x4 = -I*log|- - + --------|
\ 4 4 /
$$x_{4} = - i \log{\left(- \frac{1}{4} + \frac{\sqrt{15} i}{4} \right)}$$
x4 = -i*log(-1/4 + sqrt(15)*i/4)
Respuesta numérica
[src]
x1 = 92.4243030257568
x2 = -1.82347658193698
x3 = 100.530964914873
x4 = -81.6814089933346
x5 = -52.0889590393737
x6 = 96.0712561896308
x7 = 65.9734457253857
x8 = -12.5663706143592
x9 = -64.6553296537328
x10 = 64.6553296537328
x11 = -42.1588205683201
x12 = 26.9562178106553
x13 = -43.9822971502571
x14 = -8.10666188911656
x15 = 78.5398163397448
x16 = -56.5486677646163
x17 = -23.3092646467814
x18 = 31.4159265358979
x19 = -31.4159265358979
x20 = 21.9911485751286
x21 = -53.4070751110265
x22 = -87.9645943005142
x23 = 116.238928182822
x24 = -67.2915617970385
x25 = 94.2477796076938
x26 = 12.5663706143592
x27 = 79.8579324113977
x28 = -14.3898471962961
x29 = -89.7880708824512
x30 = 89.7880708824512
x31 = -21.9911485751286
x32 = -15.707963267949
x33 = -100.530964914873
x34 = -59.6902604182061
x35 = 28.2743338823081
x36 = -75.398223686155
x37 = -9.42477796076938
x38 = 97.3893722612836
x39 = -83.5048855752716
x40 = 48.4420058754997
x41 = -35.8756352611405
x42 = -58.3721443465533
x43 = -65.9734457253857
x44 = 52.0889590393737
x45 = 15.707963267949
x46 = 8.10666188911656
x47 = -79.8579324113977
x48 = 56.5486677646163
x49 = 67.2915617970385
x50 = 34.5575191894877
x51 = 35.8756352611405
x52 = 14.3898471962961
x53 = 20.6730325034757
x54 = 72.2566310325652
x55 = 0.0
x56 = -103.672557568463
x57 = -45.8057737321941
x58 = -96.0712561896308
x59 = 43.9822971502571
x60 = -97.3893722612836
x61 = 58.3721443465533
x62 = 87.9645943005142
x63 = -86.1411177185772
x64 = 86.1411177185772
x65 = 59.6902604182061
x66 = -72.2566310325652
x67 = 1.82347658193698
x68 = -37.6991118430775
x69 = 341.115483169635
x70 = -28.2743338823081
x71 = -39.5225884250145
x72 = 45.8057737321941
x73 = -94.2477796076938
x74 = 37.6991118430775
x75 = -50.2654824574367
x76 = 81.6814089933346
x77 = -73.5747471042181
x78 = -29.592449953961
x79 = 50.2654824574367
x80 = -6.28318530717959
x81 = 62.8318530717959
x82 = 6.28318530717959
x83 = 4.45970872524261
x84 = 73.5747471042181
x85 = 29.592449953961
x86 = 42.1588205683201
x86 = 42.1588205683201
Gráfico