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- La ecuación:
-
Ecuación cos8x+7sin4x-6=0
-
Ecuación x^2-4x+2=0
- Ecuación (x+5)²+4=(x+3)²+36
-
Ecuación x^2-2x-8=0
- Expresar {x} en función de y en la ecuación:
- -5*x-2*y=-14
- 14*x+16*y=-3
- -20*x+18*y=-11
- 15*x-14*y=19
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Expresiones idénticas
- cos8x+7sin4x- seis = cero
- coseno de 8x más 7 seno de 4x menos 6 es igual a 0
- coseno de 8x más 7 seno de 4x menos seis es igual a cero
- cos8x+7sin4x-6=O
-
Expresiones semejantes
- cos8x+7sin4x+6=0
- cos(8*x)+7*sin(4*x)-6=0
- cos8x-7sin4x-6=0
cos8x+7sin4x-6=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
cos(8*x) + 7*sin(4*x) - 6 = 0
$$\left(7 \sin{\left(4 x \right)} + \cos{\left(8 x \right)}\right) - 6 = 0$$
Suma y producto de raíces
[src]
suma
7*pi 3*pi pi 5*pi - ---- - ---- + -- + ---- 8 8 8 8
$$\left(\left(- \frac{7 \pi}{8} - \frac{3 \pi}{8}\right) + \frac{\pi}{8}\right) + \frac{5 \pi}{8}$$
=
-pi ---- 2
$$- \frac{\pi}{2}$$
producto
-7*pi -3*pi pi 5*pi -----*-----*--*---- 8 8 8 8
$$\frac{5 \pi}{8} \frac{\pi}{8} \cdot - \frac{7 \pi}{8} \left(- \frac{3 \pi}{8}\right)$$
=
4 105*pi ------- 4096
$$\frac{105 \pi^{4}}{4096}$$
105*pi^4/4096
Respuesta rápida
[src]
-7*pi
x1 = -----
8
$$x_{1} = - \frac{7 \pi}{8}$$
-3*pi
x2 = -----
8
$$x_{2} = - \frac{3 \pi}{8}$$
pi
x3 = --
8
$$x_{3} = \frac{\pi}{8}$$
5*pi
x4 = ----
8
$$x_{4} = \frac{5 \pi}{8}$$
x4 = 5*pi/8
Respuesta numérica
[src]
x1 = 30.2378293000995
x2 = -64.0099503055048
x3 = 31.8086257822062
x4 = -73.4347284917209
x5 = 88.3572933088515
x6 = 97.7820715271107
x7 = 14.5298658294543
x8 = -18.4568566175852
x9 = 42.8041999860779
x10 = 3.53429194771804
x11 = -70.2931353930596
x12 = 69.5077376309631
x13 = -20.0276531370841
x14 = 60.0829595420185
x15 = -65.5807467603561
x16 = -59.2975615583276
x17 = -51.4435799117753
x18 = 25.5254405111216
x19 = 45.9457926126636
x20 = -42.018801721025
x21 = -81.2887101256217
x22 = -71.8639317638772
x23 = -56.1559685456063
x24 = -40.4480051845367
x25 = -92.2842839728072
x26 = -29.4524313315789
x27 = -7.4612827511602
x28 = 0.392698983818484
x29 = 89.9280897781369
x30 = 96.2112750484863
x31 = 86.7864970251468
x32 = -37.3064129893602
x33 = 52.2289778823918
x34 = -95.4258770713849
x35 = 75.790922945593
x36 = 36.52101441024
x37 = 58.5121629911738
x38 = -78.1471171277149
x39 = -57.7267650263173
x40 = 74.22012646514
x41 = 9.81747720036516
x42 = -87.5718953417992
x43 = 47.5165890723236
x44 = 23.9546440296751
x45 = -93.8550803685093
x46 = 80.5033115722343
x47 = 66.3661447276565
x48 = 91.4988861866118
x49 = -43.5895981789343
x50 = 20.813051506572
x51 = -100.138265709871
x52 = -13.7444678635204
x53 = 64.7953484976729
x54 = -86.0010988907076
x55 = -34.1648199635513
x56 = -35.7356164449945
x57 = -79.7179136075301
x58 = 44.3749961464193
x59 = 53.7997743639533
x60 = 78.9325154139462
x61 = -21.5984495975409
x62 = 1.96349544645012
x63 = -24.7400421532996
x64 = -12.1736713815576
x65 = 22.3838475651395
x66 = 67.9369411954703
x67 = 8.24668071815618
x67 = 8.24668071815618
Gráfico