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Ecuación 1/(x-3)^2-3/(x-3)-4=0
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Ecuación 9*(x-5)=-x
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Ecuación 13x+10=6x-4
- Ecuación x-y=1
- Expresar {x} en función de y en la ecuación:
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Expresiones idénticas
- sin^2x-3sinx*cosx-4cos^2x= cero
- seno de al cuadrado x menos 3 seno de x multiplicar por coseno de x menos 4 coseno de al cuadrado x es igual a 0
- seno de al cuadrado x menos 3 seno de x multiplicar por coseno de x menos 4 coseno de al cuadrado x es igual a cero
- sin2x-3sinx*cosx-4cos2x=0
- sin²x-3sinx*cosx-4cos²x=0
- sin en el grado 2x-3sinx*cosx-4cos en el grado 2x=0
- sin^2x-3sinxcosx-4cos^2x=0
- sin2x-3sinxcosx-4cos2x=0
- sin^2x-3sinx*cosx-4cos^2x=O
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Expresiones semejantes
- sin^2x-3sinx*cosx+4cos^2x=0
- sin^2x+3sinx*cosx-4cos^2x=0
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Expresiones con funciones
- Seno sin
- sin(x)=-√2/2
- sin(4*x)=1
- sin(-x)=1
- sin(x/2)=-1/2
- sin(x)=sqrt2/2
- cosx
- cosx/5=-(√3/2)
- cosx/2=1/2
- cosx-2sinx=|cosx|
- cosx=-3√2
- cosx/1+sinx=0
sin^2x-3sinx*cosx-4cos^2x=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 2 sin (x) - 3*sin(x)*cos(x) - 4*cos (x) = 0
$$\left(\sin^{2}{\left(x \right)} - 3 \sin{\left(x \right)} \cos{\left(x \right)}\right) - 4 \cos^{2}{\left(x \right)} = 0$$
Respuesta rápida
[src]
-pi
x1 = ----
4
$$x_{1} = - \frac{\pi}{4}$$
3*pi
x2 = ----
4
$$x_{2} = \frac{3 \pi}{4}$$
/ ____\
|1 \/ 17 |
x3 = -2*atan|- - ------|
\4 4 /
$$x_{3} = - 2 \operatorname{atan}{\left(\frac{1}{4} - \frac{\sqrt{17}}{4} \right)}$$
/ ____\
|1 \/ 17 |
x4 = -2*atan|- + ------|
\4 4 /
$$x_{4} = - 2 \operatorname{atan}{\left(\frac{1}{4} + \frac{\sqrt{17}}{4} \right)}$$
x4 = -2*atan(1/4 + sqrt(17)/4)
Suma y producto de raíces
[src]
suma
/ ____\ / ____\ pi 3*pi |1 \/ 17 | |1 \/ 17 | - -- + ---- - 2*atan|- - ------| - 2*atan|- + ------| 4 4 \4 4 / \4 4 /
$$- 2 \operatorname{atan}{\left(\frac{1}{4} + \frac{\sqrt{17}}{4} \right)} + \left(- 2 \operatorname{atan}{\left(\frac{1}{4} - \frac{\sqrt{17}}{4} \right)} + \left(- \frac{\pi}{4} + \frac{3 \pi}{4}\right)\right)$$
=
/ ____\ / ____\ pi |1 \/ 17 | |1 \/ 17 | -- - 2*atan|- - ------| - 2*atan|- + ------| 2 \4 4 / \4 4 /
$$- 2 \operatorname{atan}{\left(\frac{1}{4} + \frac{\sqrt{17}}{4} \right)} - 2 \operatorname{atan}{\left(\frac{1}{4} - \frac{\sqrt{17}}{4} \right)} + \frac{\pi}{2}$$
producto
/ ____\ / ____\ -pi 3*pi |1 \/ 17 | |1 \/ 17 | ----*----*-2*atan|- - ------|*-2*atan|- + ------| 4 4 \4 4 / \4 4 /
$$- \frac{\pi}{4} \frac{3 \pi}{4} \left(- 2 \operatorname{atan}{\left(\frac{1}{4} - \frac{\sqrt{17}}{4} \right)}\right) \left(- 2 \operatorname{atan}{\left(\frac{1}{4} + \frac{\sqrt{17}}{4} \right)}\right)$$
=
/ ____\ / ____\
2 |1 \/ 17 | |1 \/ 17 |
-3*pi *atan|- - ------|*atan|- + ------|
\4 4 / \4 4 /
----------------------------------------
4
$$- \frac{3 \pi^{2} \operatorname{atan}{\left(\frac{1}{4} - \frac{\sqrt{17}}{4} \right)} \operatorname{atan}{\left(\frac{1}{4} + \frac{\sqrt{17}}{4} \right)}}{4}$$
-3*pi^2*atan(1/4 - sqrt(17)/4)*atan(1/4 + sqrt(17)/4)/4
Respuesta numérica
[src]
x1 = 26.4585588923864
x2 = 2.35619449019234
x3 = -38.484510006475
x4 = 11.7809724509617
x5 = -17.5237382578707
x6 = 64.1576707354639
x7 = 46.3384916404494
x8 = -30.0901088722299
x9 = -52.0812574473585
x10 = 40.0553063332699
x11 = -126.449104306989
x12 = -99.2051472512053
x13 = -32.2013246992954
x14 = -25.9181393921158
x15 = 33.7721210260903
x16 = 55.7632696012188
x17 = -45.7980721401789
x18 = 71.4712328691678
x19 = 10.7505956244374
x20 = 599.258798672253
x21 = -23.8069235650503
x22 = 83.0072266570027
x23 = -556.847297848791
x24 = 5.49778714378214
x25 = -55.2228501009482
x26 = -1.81577498992176
x27 = -69.9004365423729
x28 = 76.7240413498231
x29 = 18.0641577581413
x30 = -85.6083998103219
x31 = 13.8921882780272
x32 = 62.0464549083984
x33 = 52.621676947629
x34 = -63.6172512351933
x35 = -16.4933614313464
x36 = -10.2101761241668
x37 = -47.9092879672443
x38 = 92.432004617772
x39 = 99.7455667514759
x40 = 98.7151899249516
x41 = 24.3473430653209
x42 = -82.4668071567321
x43 = -76.1836218495525
x44 = -74.072406022487
x45 = -60.4756585816035
x46 = 4.46741031725783
x47 = -39.5148868329993
x48 = -54.1924732744239
x49 = -67.7892207153074
x50 = -98.174770424681
x51 = 54.7328927746945
x52 = -96.0635545976156
x53 = 503.980642238035
x54 = -77.2139986760768
x55 = 208.670932800594
x56 = 49.4800842940392
x57 = 27.4889357189107
x58 = -41.6261026600648
x59 = 42.1665221603353
x60 = -91.8915851175014
x61 = -61.5060354081278
x62 = 77.7544181763474
x63 = 79.8656340034129
x64 = -19.6349540849362
x65 = 57.8744854282843
x66 = -236.404847182632
x67 = -3.92699081698724
x68 = 20.1753735852068
x69 = 86.1488193105924
x70 = -8.09896029710135
x71 = -79.3252145031423
x72 = 90.3207887907066
x73 = -89.780369290436
x74 = -83.4971839832564
x75 = -42.6564794865891
x76 = 7.60900297084762
x77 = -33.2317015258197
x78 = 84.037603483527
x79 = -155.753815015822
x80 = 48.4497074675149
x81 = -11.2405529506911
x82 = 32.741744199566
x83 = 93.4623814442964
x84 = 70.4408560426435
x85 = 68.329640215578
x86 = 35.8833368531558
x86 = 35.8833368531558