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- La ecuación:
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Ecuación (x-3)*(x+2)=0
-
Ecuación z^2-6*z+10=0
-
Ecuación 9x−9(x+1)=−2x
-
Ecuación 4/(x-4)=-5
- Expresar {x} en función de y en la ecuación:
- -18*x-2*y=9
- -14*x+10*y=19
- -9*x+1*y=3
- -17*x+18*y=10
-
Expresiones idénticas
- 3sin^ dos (x)+4sin(x)cos(x)+cos^ dos (x)= cero
- 3 seno de al cuadrado (x) más 4 seno de (x) coseno de (x) más coseno de al cuadrado (x) es igual a 0
- 3 seno de en el grado dos (x) más 4 seno de (x) coseno de (x) más coseno de en el grado dos (x) es igual a cero
- 3sin2(x)+4sin(x)cos(x)+cos2(x)=0
- 3sin2x+4sinxcosx+cos2x=0
- 3sin²(x)+4sin(x)cos(x)+cos²(x)=0
- 3sin en el grado 2(x)+4sin(x)cos(x)+cos en el grado 2(x)=0
- 3sin^2x+4sinxcosx+cos^2x=0
- 3sin^2(x)+4sin(x)cos(x)+cos^2(x)=O
-
Expresiones semejantes
- 3sin^2(x)-4sin(x)cos(x)+cos^2(x)=0
- 3sin^2(x)+4sin(x)cos(x)-cos^2(x)=0
- 3sin^2(x)+4sinxcosx+cos^2(x)=0
-
Expresiones con funciones
- Coseno cos
- cos(3*x+pi/4)=-1
- cos(x)^2=cos(x)
- cos^2(x)=1
- cos(4*x)=0
- cos(x)=-3
- Coseno cos
- cos(3*x+pi/4)=-1
- cos(x)^2=cos(x)
- cos^2(x)=1
- cos(4*x)=0
- cos(x)=-3
3sin^2(x)+4sin(x)cos(x)+cos^2(x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 2 3*sin (x) + 4*sin(x)*cos(x) + cos (x) = 0
$$\left(3 \sin^{2}{\left(x \right)} + 4 \sin{\left(x \right)} \cos{\left(x \right)}\right) + \cos^{2}{\left(x \right)} = 0$$
Respuesta rápida
[src]
-pi
x1 = ----
4
$$x_{1} = - \frac{\pi}{4}$$
3*pi
x2 = ----
4
$$x_{2} = \frac{3 \pi}{4}$$
/ ____\ x3 = 2*atan\3 - \/ 10 /
$$x_{3} = 2 \operatorname{atan}{\left(3 - \sqrt{10} \right)}$$
/ ____\ x4 = 2*atan\3 + \/ 10 /
$$x_{4} = 2 \operatorname{atan}{\left(3 + \sqrt{10} \right)}$$
x4 = 2*atan(3 + sqrt(10))
Suma y producto de raíces
[src]
suma
pi 3*pi / ____\ / ____\ - -- + ---- + 2*atan\3 - \/ 10 / + 2*atan\3 + \/ 10 / 4 4
$$\left(2 \operatorname{atan}{\left(3 - \sqrt{10} \right)} + \left(- \frac{\pi}{4} + \frac{3 \pi}{4}\right)\right) + 2 \operatorname{atan}{\left(3 + \sqrt{10} \right)}$$
=
pi / ____\ / ____\ -- + 2*atan\3 + \/ 10 / + 2*atan\3 - \/ 10 / 2
$$2 \operatorname{atan}{\left(3 - \sqrt{10} \right)} + \frac{\pi}{2} + 2 \operatorname{atan}{\left(3 + \sqrt{10} \right)}$$
producto
-pi 3*pi / ____\ / ____\ ----*----*2*atan\3 - \/ 10 /*2*atan\3 + \/ 10 / 4 4
$$- \frac{\pi}{4} \frac{3 \pi}{4} \cdot 2 \operatorname{atan}{\left(3 - \sqrt{10} \right)} 2 \operatorname{atan}{\left(3 + \sqrt{10} \right)}$$
=
2 / ____\ / ____\
-3*pi *atan\3 + \/ 10 /*atan\3 - \/ 10 /
----------------------------------------
4
$$- \frac{3 \pi^{2} \operatorname{atan}{\left(3 - \sqrt{10} \right)} \operatorname{atan}{\left(3 + \sqrt{10} \right)}}{4}$$
-3*pi^2*atan(3 + sqrt(10))*atan(3 - sqrt(10))/4
Respuesta numérica
[src]
x1 = -38.0208623974742
x2 = -1608.81718919237
x3 = -25.9181393921158
x4 = 81.359658438938
x5 = 96.6039740978861
x6 = -16.0297138223456
x7 = -79.3252145031423
x8 = 93.9260290532972
x9 = -66.2951962797823
x10 = -94.5695301620904
x11 = 56.2269172102196
x12 = -35.3429173528852
x13 = -44.3040477046537
x14 = -22.3128991295252
x15 = -85.1447522013211
x16 = 49.9437319030401
x17 = -0.321750554396642
x18 = -9.74652851516602
x19 = 74.6128255227576
x20 = 68.329640215578
x21 = -85.6083998103219
x22 = -3.92699081698724
x23 = 90.3207887907066
x24 = -73.0420291959627
x25 = 100.209214360477
x26 = -6.60493586157623
x27 = -95.0331777710912
x28 = -41.6261026600648
x29 = 14.9225651045515
x30 = -53.7288256654231
x31 = -19.6349540849362
x32 = 80.8960108299372
x33 = -75.7199742405517
x34 = -19305.4086068637
x35 = -47.9092879672443
x36 = 24.3473430653209
x37 = -82.0031595477313
x38 = 8.63937979737193
x39 = 36.9137136796801
x40 = 15.3862127135523
x41 = 12.2446200599625
x42 = -13.3517687777566
x43 = 27.9525833279115
x44 = 21.6693980207319
x45 = 87.6428437461176
x46 = 84.037603483527
x47 = -31.7376770902946
x48 = -69.4367889333721
x49 = 59.3685098638094
x50 = -51.0508806208341
x51 = -69.9004365423729
x52 = 58.9048622548086
x53 = 52.621676947629
x54 = 5.96143475278294
x55 = 37.3773612886809
x56 = -638.528706842126
x57 = -72.5783815869619
x58 = 46.3384916404494
x59 = -63.6172512351933
x60 = -91.8915851175014
x61 = 2.35619449019234
x62 = 65.651695170989
x63 = 43.6605465958605
x64 = 71.9348804781686
x65 = -97.7111228156802
x66 = 40.0553063332699
x67 = -50.5872330118333
x68 = 30.6305283725005
x69 = -88.2863448549109
x70 = -28.5960844367048
x71 = 18.0641577581413
x72 = 78.2180657853482
x73 = -60.0120109726027
x74 = 62.0464549083984
x75 = 34.2357686350911
x76 = -7.06858347057703
x77 = -57.3340659280137
x78 = -29.0597320457056
x78 = -29.0597320457056