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- La ecuación:
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Ecuación (x+9)^2=36*x
-
Ecuación a+120=2000/5
-
Ecuación 5^x=6-x
-
Ecuación 2^x=1
- Expresar {x} en función de y en la ecuación:
- -6*x-12*y=9
- 9*x-1*y=17
- 10*x-2*y=11
- 12*x-3*y=-2
-
Expresiones idénticas
- uno +cos2x+2cosxcos3x= cero
- 1 más coseno de 2x más 2 coseno de x coseno de 3x es igual a 0
- uno más coseno de 2x más 2 coseno de x coseno de 3x es igual a cero
- 1+cos2x+2cosxcos3x=O
-
Expresiones semejantes
- 1+cos2x-2cosxcos3x=0
- 1-cos2x+2cosxcos3x=0
1+cos2x+2cosxcos3x=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
1 + cos(2*x) + 2*cos(x)*cos(3*x) = 0
$$\left(\cos{\left(2 x \right)} + 1\right) + 2 \cos{\left(x \right)} \cos{\left(3 x \right)} = 0$$
Respuesta rápida
[src]
-3*pi
x1 = -----
4
$$x_{1} = - \frac{3 \pi}{4}$$
-pi
x2 = ----
2
$$x_{2} = - \frac{\pi}{2}$$
-pi
x3 = ----
4
$$x_{3} = - \frac{\pi}{4}$$
pi
x4 = --
4
$$x_{4} = \frac{\pi}{4}$$
pi
x5 = --
2
$$x_{5} = \frac{\pi}{2}$$
3*pi
x6 = ----
4
$$x_{6} = \frac{3 \pi}{4}$$
x6 = 3*pi/4
Suma y producto de raíces
[src]
suma
3*pi pi pi pi pi 3*pi - ---- - -- - -- + -- + -- + ---- 4 2 4 4 2 4
$$\left(\left(\left(\left(- \frac{3 \pi}{4} - \frac{\pi}{2}\right) - \frac{\pi}{4}\right) + \frac{\pi}{4}\right) + \frac{\pi}{2}\right) + \frac{3 \pi}{4}$$
=
0
$$0$$
producto
-3*pi -pi -pi pi pi 3*pi -----*----*----*--*--*---- 4 2 4 4 2 4
$$\frac{3 \pi}{4} \frac{\pi}{2} \frac{\pi}{4} \cdot - \frac{\pi}{4} \cdot - \frac{3 \pi}{4} \left(- \frac{\pi}{2}\right)$$
=
6 -9*pi ------ 1024
$$- \frac{9 \pi^{6}}{1024}$$
-9*pi^6/1024
Respuesta numérica
[src]
x1 = -55.7632696012188
x2 = -95.8185758687992
x3 = 2.35619449019234
x4 = -27.4889357189107
x5 = 99.7455667514759
x6 = 67.5442420291816
x7 = 14.1371669901026
x8 = 33.7721210260903
x9 = -42.4115009600075
x10 = -54.1924732744239
x11 = 38.484510006475
x12 = -32.2013246992954
x13 = -71.4712328691678
x14 = -89.5353907048518
x15 = 62.0464549083984
x16 = 91.8915851175014
x17 = 25.9181393921158
x18 = -80.1106125927165
x19 = -23.5619449815176
x20 = -19.6349540849362
x21 = -82.4668071567321
x22 = 24.3473430653209
x23 = 76.1836218495525
x24 = -49.4800842940392
x25 = 64.4026493238973
x26 = -42.4115007669037
x27 = 82.4668071567321
x28 = -93.4623814442964
x29 = 86.3937979012221
x30 = 23.5619446585642
x31 = -99.7455667514759
x32 = 77.7544181763474
x33 = -73.8274272817303
x34 = 73.8274274447496
x35 = 42.4115007469212
x36 = 46.3384916404494
x37 = 51.8362788691665
x38 = 58.1194642670608
x39 = -5.49778714378214
x40 = 16.4933614313464
x41 = -11.7809724509617
x42 = -3.92699081698724
x43 = 92.6769834416208
x44 = -86.393797755781
x45 = -18.0641577581413
x46 = 20.4203521703289
x47 = -98.174770424681
x48 = -14.1371668600695
x49 = -62.0464549083984
x50 = -64.4026492370433
x51 = 7.85398171673639
x52 = -36.9137136796801
x53 = 95.8185760198721
x54 = 18.0641577581413
x55 = 60.4756585816035
x56 = 11.7809724509617
x57 = -61.2610567061841
x58 = 69.9004365423729
x59 = -45.553093556646
x60 = 70.6858349404713
x61 = 48.6946863706743
x62 = 55.7632696012188
x63 = 47.9092879672443
x64 = 54.1924732744239
x65 = -47.9092879672443
x66 = -36.1283154372514
x67 = -29.8451301043777
x68 = 40.0553063332699
x69 = 1.5707961422819
x70 = -84.037603483527
x71 = -25.9181393921158
x72 = -10.2101761241668
x73 = 29.8451302931542
x74 = -91.8915851175014
x75 = -1.57079640583583
x76 = -69.9004365423729
x77 = 45.5530932501897
x78 = 90.3207887907066
x79 = 79.3252145031423
x80 = -60.4756585816035
x81 = 3.92699081698724
x82 = 32.2013246992954
x83 = -77.7544181763474
x84 = -20.420352322072
x85 = -76.1836218495525
x86 = -7.85398151813084
x87 = 98.174770424681
x88 = -40.0553063332699
x89 = -67.5442421311304
x90 = 26.7035376635857
x91 = -51.8362786934582
x92 = 68.329640215578
x93 = -33.7721210260903
x94 = 10.2101761241668
x95 = 84.037603483527
x96 = -58.1194640148015
x96 = -58.1194640148015