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- La ecuación:
-
Ecuación (x-5)^2=(x+10)^2
-
Ecuación 2*x^2+6*x+9=
-
Ecuación 2-3*(2*x+2)=5-4*x
-
Ecuación x^4=(4x-21)^2
- Expresar {x} en función de y en la ecuación:
- 12*x-13*y=-14
- 7*x-19*y=-8
- 18*x-11*y=2
- -11*x+10*y=-9
- Límite de la función:
-
cos(x^2)
- Gráfico de la función y =:
-
cos(x^2)
- Derivada de:
-
cos(x^2)
-
Expresiones idénticas
- cos(x^ dos)= cero
- coseno de (x al cuadrado ) es igual a 0
- coseno de (x en el grado dos) es igual a cero
- cos(x2)=0
- cosx2=0
- cos(x²)=0
- cos(x en el grado 2)=0
- cosx^2=0
- cos(x^2)=O
-
Expresiones con funciones
- Coseno cos
- cos(pi*x)=1
- cos(x)=-5
- cos(2*x)=1
- cos((pi*(x-7))/3)=1/2
- cos(2*x)+cos(x)=0
cos(x^2)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Solución detallada
Tenemos la ecuación
$$\cos{\left(x^{2} \right)} = 0$$
cambiamos
$$\cos{\left(x^{2} \right)} - 1 = 0$$
$$\cos{\left(x^{2} \right)} - 1 = 0$$
Sustituimos
$$w = \cos{\left(x^{2} \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = 1$$
Obtenemos la respuesta: w = 1
hacemos cambio inverso
$$\cos{\left(x^{2} \right)} = w$$
sustituimos w:
$$\cos{\left(x^{2} \right)} = 0$$
cambiamos
$$\cos{\left(x^{2} \right)} - 1 = 0$$
$$\cos{\left(x^{2} \right)} - 1 = 0$$
Sustituimos
$$w = \cos{\left(x^{2} \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = 1$$
Obtenemos la respuesta: w = 1
hacemos cambio inverso
$$\cos{\left(x^{2} \right)} = w$$
sustituimos w:
Respuesta rápida
[src]
___ ____
-\/ 2 *\/ pi
x1 = --------------
2
$$x_{1} = - \frac{\sqrt{2} \sqrt{\pi}}{2}$$
___ ____
\/ 2 *\/ pi
x2 = ------------
2
$$x_{2} = \frac{\sqrt{2} \sqrt{\pi}}{2}$$
___ ____
-\/ 6 *\/ pi
x3 = --------------
2
$$x_{3} = - \frac{\sqrt{6} \sqrt{\pi}}{2}$$
___ ____
\/ 6 *\/ pi
x4 = ------------
2
$$x_{4} = \frac{\sqrt{6} \sqrt{\pi}}{2}$$
x4 = sqrt(6)*sqrt(pi)/2
Suma y producto de raíces
[src]
suma
___ ____ ___ ____ ___ ____ ___ ____
\/ 2 *\/ pi \/ 2 *\/ pi \/ 6 *\/ pi \/ 6 *\/ pi
- ------------ + ------------ - ------------ + ------------
2 2 2 2
$$\left(- \frac{\sqrt{6} \sqrt{\pi}}{2} + \left(- \frac{\sqrt{2} \sqrt{\pi}}{2} + \frac{\sqrt{2} \sqrt{\pi}}{2}\right)\right) + \frac{\sqrt{6} \sqrt{\pi}}{2}$$
=
0
$$0$$
producto
___ ____ ___ ____ ___ ____ ___ ____
-\/ 2 *\/ pi \/ 2 *\/ pi -\/ 6 *\/ pi \/ 6 *\/ pi
--------------*------------*--------------*------------
2 2 2 2
$$\frac{\sqrt{6} \sqrt{\pi}}{2} \cdot - \frac{\sqrt{6} \sqrt{\pi}}{2} \cdot - \frac{\sqrt{2} \sqrt{\pi}}{2} \frac{\sqrt{2} \sqrt{\pi}}{2}$$
=
2 3*pi ----- 4
$$\frac{3 \pi^{2}}{4}$$
3*pi^2/4
Respuesta numérica
[src]
x1 = -8.7731989612085
x2 = -60.5883736018691
x3 = -65.8556653468835
x4 = 20.2479095536667
x5 = 63.9435910678085
x6 = 2.1708037636748
x7 = -63.2520216621303
x8 = 27.9969170993996
x9 = 26.0797777885892
x10 = 23.3466555505886
x11 = 36.042316272118
x12 = -13.7864555104705
x13 = 10.2588183479024
x14 = 56.1199308198413
x15 = 67.736962365963
x16 = 57.4750787320006
x17 = -53.6295447898027
x18 = 6.2665706865775
x19 = -47.8726627710821
x20 = 36.7757479512029
x21 = 22.3146238057912
x22 = 32.1249620498491
x23 = 68.1530977897007
x24 = 114.587462209783
x25 = 84.0842093790732
x26 = -75.8953893880049
x27 = -29.8962056111858
x28 = 34.2088185043301
x29 = -5.16754657023168
x30 = -16.0012437412711
x31 = 103.115082970798
x32 = -79.6323098451313
x33 = -17.8569777493103
x34 = -32.0270198644374
x35 = -85.7673550856064
x36 = 66.1412713071331
x37 = -92.1420324625326
x38 = -42.0000508927152
x39 = -22.2441192889355
x40 = -58.8524077721783
x41 = -68.2222069145618
x42 = -67.8759576469418
x43 = -33.7930307841704
x44 = 41.9626343588803
x45 = -93.7978156802077
x46 = -97.7504683154682
x47 = 89.4957567168811
x48 = 40.1647585280723
x49 = -71.6803654074538
x50 = -57.7477324384739
x51 = -69.7703218907394
x52 = 16.0012437412711
x53 = 31.3829459563694
x54 = -3.7599424119465
x55 = 60.2503967723284
x56 = 54.1251803643413
x57 = 23.5476347720657
x58 = -3.31595752197827
x59 = -74.2423350301113
x60 = -2.1708037636748
x61 = -89.407955502065
x62 = 70.1296178457777
x63 = -37.7869535826396
x64 = 58.181320750246
x65 = 62.2255007657586
x66 = -7.82694427889971
x67 = 17.4115964538412
x68 = -21.7441875995693
x69 = -76.1639733394572
x70 = 92.0738169932802
x71 = 18.1189522958733
x72 = -81.792551958106
x73 = 46.0326432528734
x74 = -46.338737344997
x75 = -50.6779241318116
x76 = 4.15677273792348
x77 = 13.5566651590649
x78 = 80.1827248574873
x79 = -43.9375543883695
x80 = 96.1791015163645
x81 = 82.2330723422884
x81 = 82.2330723422884
Gráfico