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- La ecuación:
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Ecuación 6*x^2+x-7=0
-
Ecuación 2-5(3+2x)=17
-
Ecuación (6*x+8)/2+5=5*x/3
-
Ecuación -2*(-2-y)-y-2=0
- Expresar {x} en función de y en la ecuación:
- -9*x-12*y=-19
- -8*x+3*y=-4
- 10*x+3*y=2
- -10*x-12*y=-10
-
Expresiones idénticas
- cos(x+(|x|))= uno
- coseno de (x más ( módulo de x|)) es igual a 1
- coseno de (x más ( módulo de x|)) es igual a uno
- cosx+|x|=1
-
Expresiones semejantes
- cos(x-(|x|))=1
-
Expresiones con funciones
- Coseno cos
- cos(2pi×x)-3sin(pi×x)+1=0
- cos(x-3/4)=0
- cos(x)=-0,7
- cos(y)=x-3
- cos(x)=-1.1
- Módulo |
- ||x|-3|=3
- |2*x-1|=3
- |x-2|+|x-3|+|2x-8|=9
- ||x|-1|=3
- |(|x-1|)-2|=3x-4
cos(x+(|x|))=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\cos{\left(x + \left|{x}\right| \right)} = 1$$
cambiamos
$$\cos{\left(x + \left|{x}\right| \right)} - 1 = 0$$
$$\cos{\left(x + \left|{x}\right| \right)} - 1 = 0$$
Sustituimos
$$w = \cos{\left(x + \left|{x}\right| \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = 1$$
Obtenemos la respuesta: w = 1
hacemos cambio inverso
$$\cos{\left(x + \left|{x}\right| \right)} = w$$
sustituimos w:
$$\cos{\left(x + \left|{x}\right| \right)} = 1$$
cambiamos
$$\cos{\left(x + \left|{x}\right| \right)} - 1 = 0$$
$$\cos{\left(x + \left|{x}\right| \right)} - 1 = 0$$
Sustituimos
$$w = \cos{\left(x + \left|{x}\right| \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = 1$$
Obtenemos la respuesta: w = 1
hacemos cambio inverso
$$\cos{\left(x + \left|{x}\right| \right)} = w$$
sustituimos w:
Respuesta numérica
[src]
x1 = -113.894284476745
x2 = -66.0
x3 = -30.0
x4 = 62.8318524523063
x5 = -22.0
x6 = -76.0
x7 = 25.1327414478072
x8 = 94.2477796093525
x9 = 87.9645943357576
x10 = -62.0
x11 = -1734.15675569885
x12 = 50.2654824463473
x13 = -78.0
x14 = 69.1150385885879
x15 = -48.0
x16 = 31.4159267865366
x17 = -60.0
x18 = 78.5398161878405
x19 = 91.1061867314459
x20 = 18.8495556796107
x21 = 47.123890018392
x22 = -90.0
x23 = 84.8230014093114
x24 = -6.0
x25 = 75.3982241944528
x26 = -34.0
x27 = 37.6991120192083
x28 = 43.982297169427
x29 = 97.3893725148693
x30 = -20.0
x31 = -52.0
x32 = 18.8495554002244
x33 = -96.0
x34 = -64.0
x35 = 91.1061871583643
x36 = -82.0
x37 = -72.0
x38 = -24.0
x39 = 47.123889589354
x40 = 72.256631027719
x41 = -10.0
x42 = 84.8230010166547
x43 = -8.0
x44 = 6.28318528425126
x45 = 25.1327410188866
x46 = -28.0
x47 = 12.5663704518704
x48 = -26.7537820160349
x49 = 31.4159271479423
x50 = 28.2743338652012
x51 = -84.0
x52 = 9.42477821024198
x53 = -88.0
x54 = 3.14159244884412
x55 = 62.8318528326557
x56 = -2.0
x57 = -38.0
x58 = -86.0
x59 = -46.0
x60 = 3.14159287686128
x61 = 53.4070753627408
x62 = -74.0
x63 = -26.0
x64 = -32.0
x65 = -70.0
x66 = 21.9911485851964
x67 = -68.0
x68 = -14.0
x69 = -54.0
x70 = -58.0
x71 = -92.0
x72 = -94.0
x73 = 97.3893727097471
x74 = -44.0
x75 = -18.0
x76 = 34.5575190304759
x77 = 0.0
x78 = 65.9734457528975
x79 = -80.0
x80 = -16.0
x81 = 40.8407042560881
x82 = 59.6902605976901
x83 = 75.3982239388525
x84 = -12.0
x85 = 56.5486676091327
x86 = 69.1150381602162
x87 = -56.0
x88 = 40.840703919946
x89 = -40.0
x90 = -50.0
x91 = 81.6814091761104
x92 = 9.42477859080277
x93 = -36.0
x94 = -92.1505349694139
x95 = 15.7079634406648
x96 = 100.530964766599
x97 = -98.0
x98 = 53.4070756765307
x99 = -4.0
x100 = -100.0
x101 = -42.0
x101 = -42.0