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- La ecuación:
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Ecuación x-x/7=15/7
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Ecuación (x-7)^2=(9-x)^2
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Ecuación 1-2*(5-2*x)=-x-3
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Ecuación x^3+4*x^2-x-4=0
- Expresar {x} en función de y en la ecuación:
- -16*x-7*y=-5
- 17*x-11*y=2
- 7*x+19*y=12
- -5*x+5*y=-9
- Forma canónica:
- sin(x)-cos(x)
- Derivada de:
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sin(x)-cos(x)
- Gráfico de la función y =:
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sin(x)-cos(x)
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Expresiones idénticas
- sin(x)-cos(x)=sqrt(seis)/ dos
- seno de (x) menos coseno de (x) es igual a raíz cuadrada de (6) dividir por 2
- seno de (x) menos coseno de (x) es igual a raíz cuadrada de (seis) dividir por dos
- sin(x)-cos(x)=√(6)/2
- sinx-cosx=sqrt6/2
- sin(x)-cos(x)=sqrt(6) dividir por 2
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Expresiones semejantes
- sqrt(6/(2*x-42))=1/10
- sin(x)+cos(x)=sqrt(6)/2
- tgx/sinx-cosx
- sinx-cosx=sqrt(6)/2
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Expresiones con funciones
- Seno sin
- sin(x)+cos(x)=-1
- sin(x/2)=1
- sin(x)=3
- sin(x)=pi/3
- sinx-1=0
- Coseno cos
- cos(4*x)-sin(2*x)=0
- cos(x)=-sin(x)
- cos(x)=pi/2
- cos(2*x)-1=0
- cos(x)^(2)+3*sin(x)-3=0
- Raíz cuadrada sqrt
- sqrt(x+3)=x-3
- sqrt(9-8*x)=-x
- sqrt(4x-10)=4
- sqrt(x)=4
- sqrt(5/15-x)=1
sin(x)-cos(x)=sqrt(6)/2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
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___
\/ 6
sin(x) - cos(x) = -----
2
$$\sin{\left(x \right)} - \cos{\left(x \right)} = \frac{\sqrt{6}}{2}$$
Suma y producto de raíces
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suma
/ ___ ___ ___\ / ___ ___ ___\ 2*atan\2 + \/ 2 + \/ 3 + \/ 6 / - 2*atan\-2 + \/ 2 + \/ 3 - \/ 6 /
$$- 2 \operatorname{atan}{\left(- \sqrt{6} - 2 + \sqrt{2} + \sqrt{3} \right)} + 2 \operatorname{atan}{\left(\sqrt{2} + \sqrt{3} + 2 + \sqrt{6} \right)}$$
=
/ ___ ___ ___\ / ___ ___ ___\ - 2*atan\-2 + \/ 2 + \/ 3 - \/ 6 / + 2*atan\2 + \/ 2 + \/ 3 + \/ 6 /
$$- 2 \operatorname{atan}{\left(- \sqrt{6} - 2 + \sqrt{2} + \sqrt{3} \right)} + 2 \operatorname{atan}{\left(\sqrt{2} + \sqrt{3} + 2 + \sqrt{6} \right)}$$
producto
/ ___ ___ ___\ / ___ ___ ___\ 2*atan\2 + \/ 2 + \/ 3 + \/ 6 /*-2*atan\-2 + \/ 2 + \/ 3 - \/ 6 /
$$2 \operatorname{atan}{\left(\sqrt{2} + \sqrt{3} + 2 + \sqrt{6} \right)} \left(- 2 \operatorname{atan}{\left(- \sqrt{6} - 2 + \sqrt{2} + \sqrt{3} \right)}\right)$$
=
/ ___ ___ ___\ / ___ ___ ___\ -4*atan\-2 + \/ 2 + \/ 3 - \/ 6 /*atan\2 + \/ 2 + \/ 3 + \/ 6 /
$$- 4 \operatorname{atan}{\left(\sqrt{2} + \sqrt{3} + 2 + \sqrt{6} \right)} \operatorname{atan}{\left(- \sqrt{6} - 2 + \sqrt{2} + \sqrt{3} \right)}$$
-4*atan(-2 + sqrt(2) + sqrt(3) - sqrt(6))*atan(2 + sqrt(2) + sqrt(3) + sqrt(6))
Respuesta rápida
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/ ___ ___ ___\ x1 = 2*atan\2 + \/ 2 + \/ 3 + \/ 6 /
$$x_{1} = 2 \operatorname{atan}{\left(\sqrt{2} + \sqrt{3} + 2 + \sqrt{6} \right)}$$
/ ___ ___ ___\ x2 = -2*atan\-2 + \/ 2 + \/ 3 - \/ 6 /
$$x_{2} = - 2 \operatorname{atan}{\left(- \sqrt{6} - 2 + \sqrt{2} + \sqrt{3} \right)}$$
x2 = -2*atan(-sqrt(6) - 2 + sqrt(2) + sqrt(3))
Respuesta numérica
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x1 = -72.5184304203644
x2 = -1555.35016291475
x3 = -98.6983692002793
x4 = -92.4151838930998
x5 = 53.1452757232273
x6 = 71.9948316447661
x7 = -85.0848010347236
x8 = -53.6688744988256
x9 = -10.7337748997651
x10 = 96.0803753222878
x11 = -400.291263944899
x12 = 34.2957198016886
x13 = 70.9476340935695
x14 = -86.1319985859202
x15 = -23.3001455141243
x16 = -22.2529479629277
x17 = -48.4328867428426
x18 = -78.801615727544
x19 = 14.3989663289532
x20 = 40.5789051088682
x21 = 52.0980781720307
x22 = 83.5140047079287
x23 = -59.9520598060052
x24 = -34.8193185772869
x25 = 33.248522250492
x26 = -66.2352451131848
x27 = -1794.11120458757
x28 = -67.2824426643814
x29 = -28.5361332701073
x30 = -41.1025038844665
x31 = 2031.3014499336
x32 = 58.3812634792103
x33 = -73.565627971561
x34 = 312735.862087515
x35 = -17.0169602069447
x36 = -29.5833308213039
x37 = 121.213116551006
x38 = -15.9697626557481
x39 = 97.1275728734844
x40 = 21.7293491873294
x41 = 39.5317075576716
x42 = -9.68657734856853
x43 = 15.4461638801498
x44 = -91.3679863419031
x45 = -3.40339204138894
x46 = -79.8488132787406
x47 = 84.5612022591253
x48 = -42.1497014356631
x49 = 77.2308194007491
x50 = 28.012534494509
x51 = 165.195413701263
x52 = 1.83259571459405
x53 = -35.8665161284835
x54 = 26.9653369433124
x55 = -4.45058959258554
x56 = 20.6821516361328
x57 = -47.3856891916461
x58 = 65.7116463375865
x59 = -97.6511716490827
x60 = 46.8620904160477
x61 = 59.4284610304069
x62 = 9.16297857297023
x63 = 78.2780169519457
x64 = -54.7160720500222
x65 = 45.8148928648512
x66 = -60.9992573572018
x67 = 90.8443875663049
x68 = 64.6644487863899
x69 = 2.87979326579064
x70 = 8.11578102177363
x71 = 89.7971900151083
x71 = 89.7971900151083