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- La ecuación:
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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
- tres *sin(x)*sin(x)+sin(x)*cos(x)- dos *cos(x)*cos(x)= cero
- 3 multiplicar por seno de (x) multiplicar por seno de (x) más seno de (x) multiplicar por coseno de (x) menos 2 multiplicar por coseno de (x) multiplicar por coseno de (x) es igual a 0
- tres multiplicar por seno de (x) multiplicar por seno de (x) más seno de (x) multiplicar por coseno de (x) menos dos multiplicar por coseno de (x) multiplicar por coseno de (x) es igual a cero
- 3sin(x)sin(x)+sin(x)cos(x)-2cos(x)cos(x)=0
- 3sinxsinx+sinxcosx-2cosxcosx=0
- 3*sin(x)*sin(x)+sin(x)*cos(x)-2*cos(x)*cos(x)=O
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Expresiones semejantes
- 3*sin(x)*sin(x)+sin(x)*cos(x)+2*cos(x)*cos(x)=0
- 3*sin(x)*sin(x)-sin(x)*cos(x)-2*cos(x)*cos(x)=0
- 3*sinx*sinx+sinx*cosx-2*cosx*cosx=0
-
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
- 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
- Coseno cos
- cos(x)=-3
- cos(0.5-y)-0.5y+2=0
- cos(7*x)+cos(x)=0
- cos(2*x-pi/4)=0
- cos(x)=-(2/5)
- Coseno cos
- cos(x)=-3
- cos(0.5-y)-0.5y+2=0
- cos(7*x)+cos(x)=0
- cos(2*x-pi/4)=0
- cos(x)=-(2/5)
- Coseno cos
- cos(x)=-3
- cos(0.5-y)-0.5y+2=0
- cos(7*x)+cos(x)=0
- cos(2*x-pi/4)=0
- cos(x)=-(2/5)
3*sin(x)*sin(x)+sin(x)*cos(x)-2*cos(x)*cos(x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3*sin(x)*sin(x) + sin(x)*cos(x) - 2*cos(x)*cos(x) = 0
$$\left(\sin{\left(x \right)} 3 \sin{\left(x \right)} + \sin{\left(x \right)} \cos{\left(x \right)}\right) - \cos{\left(x \right)} 2 \cos{\left(x \right)} = 0$$
Suma y producto de raíces
[src]
suma
/ ____\ / ____\ pi 3*pi |3 \/ 13 | |3 \/ 13 | - -- + ---- - 2*atan|- - ------| - 2*atan|- + ------| 4 4 \2 2 / \2 2 /
$$- 2 \operatorname{atan}{\left(\frac{3}{2} + \frac{\sqrt{13}}{2} \right)} + \left(- 2 \operatorname{atan}{\left(\frac{3}{2} - \frac{\sqrt{13}}{2} \right)} + \left(- \frac{\pi}{4} + \frac{3 \pi}{4}\right)\right)$$
=
/ ____\ / ____\ pi |3 \/ 13 | |3 \/ 13 | -- - 2*atan|- + ------| - 2*atan|- - ------| 2 \2 2 / \2 2 /
$$- 2 \operatorname{atan}{\left(\frac{3}{2} + \frac{\sqrt{13}}{2} \right)} - 2 \operatorname{atan}{\left(\frac{3}{2} - \frac{\sqrt{13}}{2} \right)} + \frac{\pi}{2}$$
producto
/ ____\ / ____\ -pi 3*pi |3 \/ 13 | |3 \/ 13 | ----*----*-2*atan|- - ------|*-2*atan|- + ------| 4 4 \2 2 / \2 2 /
$$- \frac{\pi}{4} \frac{3 \pi}{4} \left(- 2 \operatorname{atan}{\left(\frac{3}{2} - \frac{\sqrt{13}}{2} \right)}\right) \left(- 2 \operatorname{atan}{\left(\frac{3}{2} + \frac{\sqrt{13}}{2} \right)}\right)$$
=
/ ____\ / ____\
2 |3 \/ 13 | |3 \/ 13 |
-3*pi *atan|- + ------|*atan|- - ------|
\2 2 / \2 2 /
----------------------------------------
4
$$- \frac{3 \pi^{2} \operatorname{atan}{\left(\frac{3}{2} - \frac{\sqrt{13}}{2} \right)} \operatorname{atan}{\left(\frac{3}{2} + \frac{\sqrt{13}}{2} \right)}}{4}$$
-3*pi^2*atan(3/2 + sqrt(13)/2)*atan(3/2 - sqrt(13)/2)/4
Respuesta rápida
[src]
-pi
x1 = ----
4
$$x_{1} = - \frac{\pi}{4}$$
3*pi
x2 = ----
4
$$x_{2} = \frac{3 \pi}{4}$$
/ ____\
|3 \/ 13 |
x3 = -2*atan|- - ------|
\2 2 /
$$x_{3} = - 2 \operatorname{atan}{\left(\frac{3}{2} - \frac{\sqrt{13}}{2} \right)}$$
/ ____\
|3 \/ 13 |
x4 = -2*atan|- + ------|
\2 2 /
$$x_{4} = - 2 \operatorname{atan}{\left(\frac{3}{2} + \frac{\sqrt{13}}{2} \right)}$$
x4 = -2*atan(3/2 + sqrt(13)/2)
Respuesta numérica
[src]
x1 = -79.3252145031423
x2 = -85.6083998103219
x3 = 66.5614483289332
x4 = 32.0039291394455
x5 = 55.7632696012188
x6 = 84.037603483527
x7 = 91.6941895576516
x8 = -32.2013246992954
x9 = -49.6774798538891
x10 = 24.3473430653209
x11 = 743.772060737384
x12 = 52.621676947629
x13 = 46.3384916404494
x14 = 776.561388040226
x15 = 88.5525969040618
x16 = -25.9181393921158
x17 = 97.9773748648312
x18 = -76.1836218495525
x19 = -19.6349540849362
x20 = -11.9783680108116
x21 = 60.2782630217536
x22 = 68.329640215578
x23 = 96.6039740978861
x24 = 63.4198556753434
x25 = -91.8915851175014
x26 = 53.9950777145741
x27 = -13.3517687777566
x28 = -87.3765916969666
x29 = 47.7118924073945
x30 = 16.2959658714965
x31 = -40.2527018931197
x32 = 41.4287071002149
x33 = 77.7544181763474
x34 = -47.9092879672443
x35 = 33.7721210260903
x36 = 3.72959525713736
x37 = 82.2694115968822
x38 = -98.174770424681
x39 = -90.5181843505564
x40 = -27.6863312787606
x41 = -57.3340659280137
x42 = -43.3942945467095
x43 = 75.9862262897026
x44 = 8.63937979737193
x45 = 40.0553063332699
x46 = 1799.34719234355
x47 = -69.9004365423729
x48 = -99.9429623113258
x49 = -65.3854431218381
x50 = 57.1366703681638
x51 = -54.1924732744239
x52 = -84.2349990433768
x53 = 10.0127805643169
x54 = -21.403145971581
x55 = 90.3207887907066
x56 = 74.6128255227576
x57 = -5.69518270363202
x58 = 62.0464549083984
x59 = -24.5447386251708
x60 = -18.2615533179912
x61 = -46.5358872002993
x62 = -71.6686284290177
x63 = 69.703040982523
x64 = 44.5702997538047
x65 = -2.55359005004223
x66 = -77.9518137361973
x67 = -3.92699081698724
x68 = -55.9606651610687
x69 = 99.7455667514759
x70 = 0.588002603547568
x71 = -93.6597770041462
x72 = -63.6172512351933
x73 = 38.2871144466251
x74 = -68.5270357754279
x75 = -62.2438504682483
x76 = 2.35619449019234
x77 = 19054.3474466256
x78 = 11.7809724509617
x79 = -10.2101761241668
x80 = 85.411004250472
x81 = 18.0641577581413
x82 = -41.6261026600648
x83 = 30.6305283725005
x84 = 25.7207438322659
x85 = -35.3429173528852
x86 = 22.5791511786761
x87 = -536.624341160307
x88 = 19.4375585250863
x89 = -33.9695165859402
x89 = -33.9695165859402