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- La ecuación:
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Ecuación 3^x+4^x=5^x
-
Ecuación (x-2)^4+3*(x-2)^2-10=0
-
Ecuación x+2/x=3
-
Ecuación x^2=-2
- Expresar {x} en función de y en la ecuación:
- 15*x+10*y=-4
- -9*x-15*y=-4
- -13*x+7*y=11
- -7*x-7*y=-14
-
Expresiones idénticas
- dos *sin^(dos)(x)+sin(x)*cos(x)- tres *cos^(dos)(x)= cero
- 2 multiplicar por seno de en el grado (2)(x) más seno de (x) multiplicar por coseno de (x) menos 3 multiplicar por coseno de en el grado (2)(x) es igual a 0
- dos multiplicar por seno de en el grado (dos)(x) más seno de (x) multiplicar por coseno de (x) menos tres multiplicar por coseno de en el grado (dos)(x) es igual a cero
- 2*sin(2)(x)+sin(x)*cos(x)-3*cos(2)(x)=0
- 2*sin2x+sinx*cosx-3*cos2x=0
- 2sin^(2)(x)+sin(x)cos(x)-3cos^(2)(x)=0
- 2sin(2)(x)+sin(x)cos(x)-3cos(2)(x)=0
- 2sin2x+sinxcosx-3cos2x=0
- 2sin^2x+sinxcosx-3cos^2x=0
- 2*sin^(2)(x)+sin(x)*cos(x)-3*cos^(2)(x)=O
-
Expresiones semejantes
- 2*sin^(2)(x)-sin(x)*cos(x)-3*cos^(2)(x)=0
- 2*sin^(2)(x)+sin(x)*cos(x)+3*cos^(2)(x)=0
- 2*sin^(2)(x)+sinx*cosx-3*cos^(2)(x)=0
-
Expresiones con funciones
- Seno sin
- sin(x)+1/2=0
- sin(x/3)=1/2
- sin(x+pi/3)=0
- sin(x)=4
- sin(x)-1=0
- Seno sin
- sin(x)+1/2=0
- sin(x/3)=1/2
- sin(x+pi/3)=0
- sin(x)=4
- sin(x)-1=0
- Coseno cos
- cos(x)=-1/3
- cos(2*x)=-1
- cos(x)=-5
- cos(x)=-√3/2
- cos(x/3)=-1/2
- Coseno cos
- cos(x)=-1/3
- cos(2*x)=-1
- cos(x)=-5
- cos(x)=-√3/2
- cos(x/3)=-1/2
2*sin^(2)(x)+sin(x)*cos(x)-3*cos^(2)(x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 2 2*sin (x) + sin(x)*cos(x) - 3*cos (x) = 0
$$\left(2 \sin^{2}{\left(x \right)} + \sin{\left(x \right)} \cos{\left(x \right)}\right) - 3 \cos^{2}{\left(x \right)} = 0$$
Suma y producto de raíces
[src]
suma
/ ____\ / ____\ 3*pi pi |2 \/ 13 | |2 \/ 13 | - ---- + -- + 2*atan|- - ------| + 2*atan|- + ------| 4 4 \3 3 / \3 3 /
$$\left(\left(- \frac{3 \pi}{4} + \frac{\pi}{4}\right) + 2 \operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{13}}{3} \right)}\right) + 2 \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{13}}{3} \right)}$$
=
/ ____\ / ____\
|2 \/ 13 | |2 \/ 13 | pi
2*atan|- - ------| + 2*atan|- + ------| - --
\3 3 / \3 3 / 2
$$- \frac{\pi}{2} + 2 \operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{13}}{3} \right)} + 2 \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{13}}{3} \right)}$$
producto
/ ____\ / ____\ -3*pi pi |2 \/ 13 | |2 \/ 13 | -----*--*2*atan|- - ------|*2*atan|- + ------| 4 4 \3 3 / \3 3 /
$$- \frac{3 \pi}{4} \frac{\pi}{4} \cdot 2 \operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{13}}{3} \right)} 2 \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{13}}{3} \right)}$$
=
/ ____\ / ____\
2 |2 \/ 13 | |2 \/ 13 |
-3*pi *atan|- - ------|*atan|- + ------|
\3 3 / \3 3 /
----------------------------------------
4
$$- \frac{3 \pi^{2} \operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{13}}{3} \right)} \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{13}}{3} \right)}}{4}$$
-3*pi^2*atan(2/3 - sqrt(13)/3)*atan(2/3 + sqrt(13)/3)/4
Respuesta rápida
[src]
-3*pi
x1 = -----
4
$$x_{1} = - \frac{3 \pi}{4}$$
pi
x2 = --
4
$$x_{2} = \frac{\pi}{4}$$
/ ____\
|2 \/ 13 |
x3 = 2*atan|- - ------|
\3 3 /
$$x_{3} = 2 \operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{13}}{3} \right)}$$
/ ____\
|2 \/ 13 |
x4 = 2*atan|- + ------|
\3 3 /
$$x_{4} = 2 \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{13}}{3} \right)}$$
x4 = 2*atan(2/3 + sqrt(13)/3)
Respuesta numérica
[src]
x1 = 51.0508806208341
x2 = 80.6986152700873
x3 = 11.5835768911118
x4 = 99.5481711916261
x5 = -33.7721210260903
x6 = 3.92699081698724
x7 = -43.1968989868597
x8 = 16.4933614313464
x9 = -85.8057953701718
x10 = 61.8490593485485
x11 = 60.4756585816035
x12 = -99.7455667514759
x13 = 96.4065785380363
x14 = 52.4242813877792
x15 = -2.35619449019234
x16 = 83.8402079236771
x17 = -55.7632696012188
x18 = 63.6172512351933
x19 = 32.2013246992954
x20 = -41.8234982199146
x21 = 68.1322446557281
x22 = -90.3207887907066
x23 = 91.8915851175014
x24 = 39.85791077342
x25 = -71.4712328691678
x26 = -92.0889806773513
x27 = 33.5747254662404
x28 = 17.8667621982914
x29 = 13.3517687777566
x30 = 24.149947505471
x31 = 47.9092879672443
x32 = -26.1155349519657
x33 = 30.4331328126506
x34 = -11.7809724509617
x35 = -62.0464549083984
x36 = -35.5403129127351
x37 = -18.0641577581413
x38 = 82.4668071567321
x39 = -54.3898688342738
x40 = 54.1924732744239
x41 = -13.5491643376065
x42 = -49.4800842940392
x43 = 7226.44850141992
x44 = 55.565874041369
x45 = 0.785398163397448
x46 = -19.8323496447861
x47 = 88.7499924639117
x48 = 90.1233932308567
x49 = -32.3987202591453
x50 = -77.7544181763474
x51 = -46.3384916404494
x52 = -87.1791961371168
x53 = -57.5314614878636
x54 = 22.776546738526
x55 = 46.1410960805996
x56 = 19.6349540849362
x57 = 44.7676953136546
x58 = 8.44198423752205
x59 = 85.6083998103219
x60 = 76.1836218495525
x61 = 77.5570226164975
x62 = 69.9004365423729
x63 = -76.3810174094024
x64 = 74.4154299629077
x65 = 98.174770424681
x66 = 41.6261026600648
x67 = 2.15879893034246
x68 = -24.3473430653209
x69 = -93.4623814442964
x70 = -27.4889357189107
x71 = -158.062426402737
x72 = -10.4075716840167
x73 = -84.037603483527
x74 = 10.2101761241668
x75 = -98.3721659845309
x76 = -48.1066835270942
x77 = 25.9181393921158
x78 = -285.099533313274
x79 = -63.8146467950432
x80 = -70.0978321022228
x81 = -68.329640215578
x82 = -65.1880475619882
x83 = -40.0553063332699
x84 = -79.5226100629922
x85 = 38.484510006475
x86 = -5.49778714378214
x87 = -4.12438637683712
x88 = -21.2057504117311
x89 = 66.7588438887831
x89 = 66.7588438887831