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- La ecuación:
-
Ecuación x^2-4x+5=0
-
Ecuación x^2+3x+2=0
-
Ecuación x^2+3x=4
-
Ecuación -x^2+5*x-6=0
- Expresar {x} en función de y en la ecuación:
- 10*x-2*y=0
- 1*x+4*y=20
- 3*x-7*y=13
- 13*x-15*y=-6
-
Expresiones idénticas
- (cos(x- uno / dos))*(sin(x+ uno))= cero
- ( coseno de (x menos 1 dividir por 2)) multiplicar por ( seno de (x más 1)) es igual a 0
- ( coseno de (x menos uno dividir por dos)) multiplicar por ( seno de (x más uno)) es igual a cero
- (cos(x-1/2))(sin(x+1))=0
- cosx-1/2sinx+1=0
- (cos(x-1/2))*(sin(x+1))=O
- (cos(x-1 dividir por 2))*(sin(x+1))=0
-
Expresiones semejantes
- (cos(x-1/2))*(sin(x-1))=0
- (cos(x+1/2))*(sin(x+1))=0
-
Expresiones con funciones
- Coseno cos
- cos(x)=(-1)/sqrt(2)
- cos(2*x)+3*sin(x)-2=0
- cos(-x)=-1
- cos(2x)=1/2
- cos(4*x)=1
- Seno sin
- sin(6*x)=9/8
- sin2x+1=cosx+2sinx
- sin(3*x)+cos(3*x)=0
- sin2x=-1/2
- sin(z)+cos(z)=i
(cos(x-1/2))*(sin(x+1))=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
cos(x - 1/2)*sin(x + 1) = 0
$$\sin{\left(x + 1 \right)} \cos{\left(x - \frac{1}{2} \right)} = 0$$
Suma y producto de raíces
[src]
suma
1 pi 1 pi
-1 + - - -- + - + --
2 2 2 2
$$\left(\left(\frac{1}{2} - \frac{\pi}{2}\right) - 1\right) + \left(\frac{1}{2} + \frac{\pi}{2}\right)$$
=
0
$$0$$
producto
/1 pi\ /1 pi\ -|- - --|*|- + --| \2 2 / \2 2 /
$$- (\frac{1}{2} - \frac{\pi}{2}) \left(\frac{1}{2} + \frac{\pi}{2}\right)$$
=
2 1 pi - - + --- 4 4
$$- \frac{1}{4} + \frac{\pi^{2}}{4}$$
-1/4 + pi^2/4
Respuesta rápida
[src]
x1 = -1
$$x_{1} = -1$$
1 pi
x2 = - - --
2 2
$$x_{2} = \frac{1}{2} - \frac{\pi}{2}$$
1 pi
x3 = - + --
2 2
$$x_{3} = \frac{1}{2} + \frac{\pi}{2}$$
x3 = 1/2 + pi/2
Respuesta numérica
[src]
x1 = 8.35398163397448
x2 = 27.2743338823081
x3 = -82.6814089933346
x4 = 80.6106126665397
x5 = 58.6194640914112
x6 = 17.8495559215388
x7 = -4.14159265358979
x8 = -32.4159265358979
x9 = 64.9026493985908
x10 = -10.4247779607694
x11 = -73.3274273593601
x12 = 49.1946861306418
x13 = 77.5398163397448
x14 = 49.2654824574367
x15 = 83.8230016469244
x16 = -70.1150383789755
x17 = 71.1858347057703
x18 = -22.9911485751286
x19 = 93.1769832808989
x20 = -98.3893722612836
x21 = 20.9203522483337
x22 = -88.9645943005142
x23 = 42.9115008234622
x24 = -92.106186954104
x25 = -26.1327412287183
x26 = -89.0353906273091
x27 = 39.8407044966673
x28 = -29.2743338823081
x29 = -1.0
x30 = -60.6902604182061
x31 = -1.0707963267949
x32 = 96.3185759344887
x33 = 93.2477796076938
x34 = -236.619449019234
x35 = 5.21238898038469
x36 = 5100.87567310303
x37 = -44.9822971502571
x38 = -63.8318530717959
x39 = -57.6194640914112
x40 = -82.7522053201295
x41 = 55.4778714378214
x42 = -35.6283155162826
x43 = -23.0619449019235
x44 = 71.2566310325652
x45 = 14.6371669411541
x46 = 74.3274273593601
x47 = 99.5309649148734
x48 = 46.053093477052
x49 = 86.8937979737193
x50 = 2.14159265358979
x51 = -130716.457926891
x52 = -7.35398163397448
x53 = -51.3362787842316
x54 = -79.6106126665397
x55 = 55.5486677646163
x56 = 61.8318530717959
x57 = 68.0442420521806
x58 = 33.5575191894877
x59 = 5.28318530717959
x60 = -85.8230016469244
x61 = 90.0353906273091
x62 = -38.6991118430775
x63 = 11.5663706143592
x64 = -48.1238898038469
x65 = -29.345130209103
x66 = -67.0442420521806
x67 = -66.9734457253857
x68 = -54.4070751110265
x69 = -95.3185759344887
x70 = -13.6371669411541
x71 = 52.3362787842316
x72 = 30.345130209103
x73 = -60.761056745001
x74 = -16.707963267949
x75 = 36.6283155162826
x76 = -16.7787595947439
x77 = -70.1858347057703
x78 = 27.2035375555132
x79 = -76.398223686155
x80 = -45.053093477052
x81 = -4160.53946967968
x82 = -38.7699081698724
x83 = -19.8495559215388
x84 = 115.238928182822
x84 = 115.238928182822