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- La ecuación:
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Ecuación x^4-x^3+5*x^2=0
-
Ecuación (x-5)/2=2*(3x/7-1/2)/3
-
Ecuación 9-2(-4x+7)=7
-
Ecuación 3*x+5+(x+5)=(1-x)+4
- Expresar {x} en función de y en la ecuación:
- 7*x+13*y=-13
- -14*x-3*y=-5
- -8*x-12*y=15
- -6*x-1*y=14
-
Expresiones idénticas
- sqrt(tres)cos(2x)-2cos(x)+ cuatro (cos(x))^ tres = cero
- raíz cuadrada de (3) coseno de (2x) menos 2 coseno de (x) más 4( coseno de (x)) al cubo es igual a 0
- raíz cuadrada de (tres) coseno de (2x) menos 2 coseno de (x) más cuatro ( coseno de (x)) en el grado tres es igual a cero
- √(3)cos(2x)-2cos(x)+4(cos(x))^3=0
- sqrt(3)cos(2x)-2cos(x)+4(cos(x))3=0
- sqrt3cos2x-2cosx+4cosx3=0
- sqrt(3)cos(2x)-2cos(x)+4(cos(x))³=0
- sqrt(3)cos(2x)-2cos(x)+4(cos(x)) en el grado 3=0
- sqrt3cos2x-2cosx+4cosx^3=0
- sqrt(3)cos(2x)-2cos(x)+4(cos(x))^3=O
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Expresiones semejantes
- sqrt(3)cos(2x)-2cos(x)-4(cos(x))^3=0
- sqrt(3)cos(2x)+2cos(x)+4(cos(x))^3=0
- sqrt(3)cos(2x)-2cosx+4(cosx)^3=0
-
Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(x^3-4*x^2-10*x+29)=3-x
- sqrt(7-x)=x-1
- sqrt(2x-1)*(5x^2-4x-1)=0
- sqrt(x^2+1)
- sqrt(3)/2-cos(x)-1/2*sin(x)=1
- Coseno cos
- cos(x)=-2
- cos(x)^(2)=3/4
- cosx-2cos(3x)+cos(5x)=0
- cosx/9=-1
- cos2x
- Coseno cos
- cos(x)=-2
- cos(x)^(2)=3/4
- cosx-2cos(3x)+cos(5x)=0
- cosx/9=-1
- cos2x
sqrt(3)cos(2x)-2cos(x)+4(cos(x))^3=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___ 3 \/ 3 *cos(2*x) - 2*cos(x) + 4*cos (x) = 0
$$\left(- 2 \cos{\left(x \right)} + \sqrt{3} \cos{\left(2 x \right)}\right) + 4 \cos^{3}{\left(x \right)} = 0$$
Suma y producto de raíces
[src]
suma
5*pi 3*pi pi pi 3*pi 5*pi - ---- - ---- - -- + -- + ---- + ---- 6 4 4 4 4 6
$$\left(\left(\left(\left(- \frac{5 \pi}{6} - \frac{3 \pi}{4}\right) - \frac{\pi}{4}\right) + \frac{\pi}{4}\right) + \frac{3 \pi}{4}\right) + \frac{5 \pi}{6}$$
=
0
$$0$$
producto
-5*pi -3*pi -pi pi 3*pi 5*pi -----*-----*----*--*----*---- 6 4 4 4 4 6
$$\frac{5 \pi}{6} \frac{3 \pi}{4} \frac{\pi}{4} \cdot - \frac{\pi}{4} \cdot - \frac{5 \pi}{6} \left(- \frac{3 \pi}{4}\right)$$
=
6 -25*pi ------- 1024
$$- \frac{25 \pi^{6}}{1024}$$
-25*pi^6/1024
Respuesta rápida
[src]
-5*pi
x1 = -----
6
$$x_{1} = - \frac{5 \pi}{6}$$
-3*pi
x2 = -----
4
$$x_{2} = - \frac{3 \pi}{4}$$
-pi
x3 = ----
4
$$x_{3} = - \frac{\pi}{4}$$
pi
x4 = --
4
$$x_{4} = \frac{\pi}{4}$$
3*pi
x5 = ----
4
$$x_{5} = \frac{3 \pi}{4}$$
5*pi
x6 = ----
6
$$x_{6} = \frac{5 \pi}{6}$$
x6 = 5*pi/6
Respuesta numérica
[src]
x1 = 25.9181393921158
x2 = 109.170344712245
x3 = -71.733032256967
x4 = -79.3252145031423
x5 = -99.7455667514759
x6 = 22.776546738526
x7 = -96.6039740978861
x8 = -90.3207887907066
x9 = 79.0634151153431
x10 = 66.497044500984
x11 = 18.0641577581413
x12 = -65.1880475619882
x13 = 82.4668071567321
x14 = 38.484510006475
x15 = 46.3384916404494
x16 = 60.2138591938044
x17 = -77.7544181763474
x18 = -72.7802298081635
x19 = -76.1836218495525
x20 = -5.49778714378214
x21 = -38.484510006475
x22 = -53.9306738866248
x23 = -60.2138591938044
x24 = 76.1836218495525
x25 = 54.1924732744239
x26 = 55.7632696012188
x27 = 5.49778714378214
x28 = 2.35619449019234
x29 = 34.0339204138894
x30 = -62.0464549083984
x31 = 91.8915851175014
x32 = -85.6083998103219
x33 = 85.6083998103219
x34 = -33.7721210260903
x35 = -8.63937979737193
x36 = 10.2101761241668
x37 = 47.6474885794452
x38 = 8.63937979737193
x39 = -19.6349540849362
x40 = 14.9225651045515
x41 = -69.9004365423729
x42 = -3.66519142918809
x43 = -32.2013246992954
x44 = 96.6039740978861
x45 = -40.0553063332699
x46 = -35.3429173528852
x47 = 88.7499924639117
x48 = -85.3466004225227
x49 = 71.4712328691678
x50 = 58.9048622548086
x51 = -82.4668071567321
x52 = 98.174770424681
x53 = 11.7809724509617
x54 = 90.3207887907066
x55 = 35.3429173528852
x56 = -25.9181393921158
x57 = 68.329640215578
x58 = -24.3473430653209
x59 = 16.4933614313464
x60 = 3.92699081698724
x61 = -46.3384916404494
x62 = -41.6261026600648
x63 = 84.2994028713261
x64 = -16.2315620435473
x65 = -47.9092879672443
x66 = -93.4623814442964
x67 = -27.7507351067098
x68 = -2.35619449019234
x69 = 41.6261026600648
x70 = -55.7632696012188
x71 = 24.3473430653209
x72 = -91.8915851175014
x73 = -84.037603483527
x74 = 181.426975744811
x75 = 40.317105721069
x76 = -11.7809724509617
x77 = -63.6172512351933
x78 = -52.621676947629
x79 = 52.621676947629
x80 = 27.7507351067098
x81 = -28.7979326579064
x82 = 78.0162175641465
x83 = -97.9129710368819
x84 = -9.94837673636768
x85 = 32.2013246992954
x86 = -49.4800842940392
x87 = 16.2315620435473
x88 = 47.9092879672443
x89 = 69.9004365423729
x90 = -68.329640215578
x91 = 59.1666616426078
x92 = 62.0464549083984
x93 = 99.7455667514759
x94 = -21.2057504117311
x95 = -18.0641577581413
x95 = -18.0641577581413