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- La ecuación:
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Ecuación x^3-x^2-x-1=0
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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:
- -11*x-3*y=14
- 2*x-15*y=-1
- -18*x-6*y=-1
- 6*x+9*y=-9
-
Expresiones idénticas
- tres *sin(x)^ dos -sin(x)cos(x)- dos *cos(x)^ dos = cero
- 3 multiplicar por seno de (x) al cuadrado menos seno de (x) coseno de (x) menos 2 multiplicar por coseno de (x) al cuadrado es igual a 0
- tres multiplicar por seno de (x) en el grado dos menos seno de (x) coseno de (x) menos dos multiplicar por coseno de (x) en el grado dos es igual a cero
- 3*sin(x)2-sin(x)cos(x)-2*cos(x)2=0
- 3*sinx2-sinxcosx-2*cosx2=0
- 3*sin(x)²-sin(x)cos(x)-2*cos(x)²=0
- 3*sin(x) en el grado 2-sin(x)cos(x)-2*cos(x) en el grado 2=0
- 3sin(x)^2-sin(x)cos(x)-2cos(x)^2=0
- 3sin(x)2-sin(x)cos(x)-2cos(x)2=0
- 3sinx2-sinxcosx-2cosx2=0
- 3sinx^2-sinxcosx-2cosx^2=0
- 3*sin(x)^2-sin(x)cos(x)-2*cos(x)^2=O
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Expresiones semejantes
- 3*sin(x)^2-sin(x)cos(x)+2*cos(x)^2=0
- 3*sin(x)^2+sin(x)cos(x)-2*cos(x)^2=0
- 3*sinx^2-sinxcosx-2*cosx^2=0
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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
- 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)^2-sin(x)cos(x)-2*cos(x)^2=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 2 3*sin (x) - sin(x)*cos(x) - 2*cos (x) = 0
$$\left(3 \sin^{2}{\left(x \right)} - \sin{\left(x \right)} \cos{\left(x \right)}\right) - 2 \cos^{2}{\left(x \right)} = 0$$
Respuesta rápida
[src]
-3*pi
x1 = -----
4
$$x_{1} = - \frac{3 \pi}{4}$$
pi
x2 = --
4
$$x_{2} = \frac{\pi}{4}$$
/ ____\
|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)
Suma y producto de raíces
[src]
suma
/ ____\ / ____\ 3*pi pi |3 \/ 13 | |3 \/ 13 | - ---- + -- + 2*atan|- - ------| + 2*atan|- + ------| 4 4 \2 2 / \2 2 /
$$\left(\left(- \frac{3 \pi}{4} + \frac{\pi}{4}\right) + 2 \operatorname{atan}{\left(\frac{3}{2} - \frac{\sqrt{13}}{2} \right)}\right) + 2 \operatorname{atan}{\left(\frac{3}{2} + \frac{\sqrt{13}}{2} \right)}$$
=
/ ____\ / ____\
|3 \/ 13 | |3 \/ 13 | pi
2*atan|- + ------| + 2*atan|- - ------| - --
\2 2 / \2 2 / 2
$$- \frac{\pi}{2} + 2 \operatorname{atan}{\left(\frac{3}{2} - \frac{\sqrt{13}}{2} \right)} + 2 \operatorname{atan}{\left(\frac{3}{2} + \frac{\sqrt{13}}{2} \right)}$$
producto
/ ____\ / ____\ -3*pi pi |3 \/ 13 | |3 \/ 13 | -----*--*2*atan|- - ------|*2*atan|- + ------| 4 4 \2 2 / \2 2 /
$$- \frac{3 \pi}{4} \frac{\pi}{4} \cdot 2 \operatorname{atan}{\left(\frac{3}{2} - \frac{\sqrt{13}}{2} \right)} 2 \operatorname{atan}{\left(\frac{3}{2} + \frac{\sqrt{13}}{2} \right)}$$
=
/ ____\ / ____\
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 numérica
[src]
x1 = -32.0039291394455
x2 = -82.2694115968822
x3 = 30.8279239323504
x4 = -41.4287071002149
x5 = 25.9181393921158
x6 = -3.72959525713736
x7 = 41.6261026600648
x8 = 63.6172512351933
x9 = 62.2438504682483
x10 = 82.4668071567321
x11 = -62.0464549083984
x12 = -24.3473430653209
x13 = 5.69518270363202
x14 = 19.6349540849362
x15 = -10.0127805643169
x16 = -84.037603483527
x17 = 84.2349990433768
x18 = -49.4800842940392
x19 = -765.763209312512
x20 = -97.9773748648312
x21 = -53.9950777145741
x22 = 91.8915851175014
x23 = 60.4756585816035
x24 = 55.9606651610687
x25 = -25.7207438322659
x26 = 32.2013246992954
x27 = 3.92699081698724
x28 = 77.9518137361973
x29 = 16.4933614313464
x30 = 76.1836218495525
x31 = -16.2959658714965
x32 = -2.35619449019234
x33 = 33.9695165859402
x34 = -90.3207887907066
x35 = -46.3384916404494
x36 = 40.2527018931197
x37 = 93.6597770041462
x38 = 47.9092879672443
x39 = -75.9862262897026
x40 = 88278.1655632696
x41 = 18.2615533179912
x42 = -33.7721210260903
x43 = 71.6686284290177
x44 = 99.9429623113258
x45 = -71.4712328691678
x46 = -19.4375585250863
x47 = 68.5270357754279
x48 = 46.5358872002993
x49 = -11.7809724509617
x50 = -60.2782630217536
x51 = -27.4889357189107
x52 = -85.411004250472
x53 = 74.8102210826075
x54 = -40.0553063332699
x55 = -5.49778714378214
x56 = 54.1924732744239
x57 = 49.6774798538891
x58 = -69.703040982523
x59 = 27.6863312787606
x60 = -55.7632696012188
x61 = -99.7455667514759
x62 = -18.0641577581413
x63 = 38.484510006475
x64 = -77.7544181763474
x65 = 11.9783680108116
x66 = 10.2101761241668
x67 = 85.6083998103219
x68 = 98.174770424681
x69 = -68.329640215578
x70 = 90.5181843505564
x71 = -47.7118924073945
x72 = 69.9004365423729
x73 = 52.8190725074789
x74 = 2.55359005004223
x75 = -38.2871144466251
x76 = -63.4198556753434
x77 = -93.4623814442964
x78 = 96.801369657736
x79 = 24.5447386251708
x80 = -91.6941895576516
x80 = -91.6941895576516