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- La ecuación:
- Ecuación x^2-49=0
-
Ecuación 1-x/2=x/3
-
Ecuación 3*x^2-9=0
-
Ecuación -8x-17=3x-105
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- -19*x+14*y=20
- 5*x-14*y=-15
- Integral de d{x}:
- sqrt(2)*sin(x)
-
Expresiones idénticas
- dos sin(x)-sqrt(dos)*cos(x)=sqrt(2)*sin(x)
- 2 seno de (x) menos raíz cuadrada de (2) multiplicar por coseno de (x) es igual a raíz cuadrada de (2) multiplicar por seno de (x)
- dos seno de (x) menos raíz cuadrada de (dos) multiplicar por coseno de (x) es igual a raíz cuadrada de (2) multiplicar por seno de (x)
- 2sin(x)-√(2)*cos(x)=√(2)*sin(x)
- 2sin(x)-sqrt(2)cos(x)=sqrt(2)sin(x)
- 2sinx-sqrt2cosx=sqrt2sinx
-
Expresiones semejantes
- sqrt(2(sinx/2)^2)-sinx=0
- sin(2*x)=sqrt(2)*sin(x+pi/2)
- 2sin(x)+sqrt(2)*cos(x)=sqrt(2)*sin(x)
- sqrt(cosx)+sqrt(sqrt(2))sinx=0
- 2sinx-sqrt(2)*cosx=sqrt(2)*sinx
-
Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(x+2)-sqrt(x-6)=2
- sqrt(56-x)=-x
- sqrt(x-2)+sqrt(4-x)=sqrt(6-x)
- sqrt(4+2x−x^2)=x−2.
- sqrt(x+4)=sqrt3x
- Coseno cos
- cos(x)=-x+pi/2
- cos(x^2)=1
- cos(x)=1
- cos^2(x)=-1
- cos((pi*(8*x+1)/6))=sqrt(3)/2
- Raíz cuadrada sqrt
- sqrt(x+2)-sqrt(x-6)=2
- sqrt(56-x)=-x
- sqrt(x-2)+sqrt(4-x)=sqrt(6-x)
- sqrt(4+2x−x^2)=x−2.
- sqrt(x+4)=sqrt3x
- Seno sin
- sin(2x)=0
- sin(x)=a
- sin(x)^2=1/2
- sin(3*x)+sin(x)=0
- sin((pi*x)/4)=-1
2sin(x)-sqrt(2)*cos(x)=sqrt(2)*sin(x) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
___ ___ 2*sin(x) - \/ 2 *cos(x) = \/ 2 *sin(x)
$$2 \sin{\left(x \right)} - \sqrt{2} \cos{\left(x \right)} = \sqrt{2} \sin{\left(x \right)}$$
Suma y producto de raíces
[src]
suma
/ ___________\ / ___________\
| ___ ___ / ___ | | ___ ___ / ___ |
- 2*atan\-1 + \/ 2 + \/ 2 *\/ 2 - \/ 2 / + 2*atan\1 - \/ 2 + \/ 2 *\/ 2 - \/ 2 /
$$- 2 \operatorname{atan}{\left(-1 + \sqrt{2} \sqrt{2 - \sqrt{2}} + \sqrt{2} \right)} + 2 \operatorname{atan}{\left(- \sqrt{2} + 1 + \sqrt{2} \sqrt{2 - \sqrt{2}} \right)}$$
=
/ ___________\ / ___________\
| ___ ___ / ___ | | ___ ___ / ___ |
- 2*atan\-1 + \/ 2 + \/ 2 *\/ 2 - \/ 2 / + 2*atan\1 - \/ 2 + \/ 2 *\/ 2 - \/ 2 /
$$- 2 \operatorname{atan}{\left(-1 + \sqrt{2} \sqrt{2 - \sqrt{2}} + \sqrt{2} \right)} + 2 \operatorname{atan}{\left(- \sqrt{2} + 1 + \sqrt{2} \sqrt{2 - \sqrt{2}} \right)}$$
producto
/ ___________\ / ___________\
| ___ ___ / ___ | | ___ ___ / ___ |
-2*atan\-1 + \/ 2 + \/ 2 *\/ 2 - \/ 2 /*2*atan\1 - \/ 2 + \/ 2 *\/ 2 - \/ 2 /
$$- 2 \operatorname{atan}{\left(-1 + \sqrt{2} \sqrt{2 - \sqrt{2}} + \sqrt{2} \right)} 2 \operatorname{atan}{\left(- \sqrt{2} + 1 + \sqrt{2} \sqrt{2 - \sqrt{2}} \right)}$$
=
/ ___________\ / ___________\
| ___ ___ / ___ | | ___ ___ / ___ |
-4*atan\1 - \/ 2 + \/ 2 *\/ 2 - \/ 2 /*atan\-1 + \/ 2 + \/ 2 *\/ 2 - \/ 2 /
$$- 4 \operatorname{atan}{\left(-1 + \sqrt{2} \sqrt{2 - \sqrt{2}} + \sqrt{2} \right)} \operatorname{atan}{\left(- \sqrt{2} + 1 + \sqrt{2} \sqrt{2 - \sqrt{2}} \right)}$$
-4*atan(1 - sqrt(2) + sqrt(2)*sqrt(2 - sqrt(2)))*atan(-1 + sqrt(2) + sqrt(2)*sqrt(2 - sqrt(2)))
Respuesta rápida
[src]
/ ___________\
| ___ ___ / ___ |
x1 = -2*atan\-1 + \/ 2 + \/ 2 *\/ 2 - \/ 2 /
$$x_{1} = - 2 \operatorname{atan}{\left(-1 + \sqrt{2} \sqrt{2 - \sqrt{2}} + \sqrt{2} \right)}$$
/ ___________\
| ___ ___ / ___ |
x2 = 2*atan\1 - \/ 2 + \/ 2 *\/ 2 - \/ 2 /
$$x_{2} = 2 \operatorname{atan}{\left(- \sqrt{2} + 1 + \sqrt{2} \sqrt{2 - \sqrt{2}} \right)}$$
x2 = 2*atan(-sqrt(2) + 1 + sqrt(2)*sqrt(2 - sqrt(2)))
Respuesta numérica
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x1 = -8.24668071567321
x2 = -115.060830937726
x3 = 82.8595062384308
x4 = 60.8683576633022
x5 = -30.2378292908018
x6 = -33.3794219443916
x7 = -80.5033117482384
x8 = 98.5674695063798
x9 = -45.9457925587507
x10 = 67.1515429704818
x11 = -58.5121631731099
x12 = -99.3528676697772
x13 = 54.5851723561227
x14 = 16.8860605130451
x15 = -218.733388506189
x16 = 7.46128255227576
x17 = -17.6714586764426
x18 = 51.4435797025329
x19 = 64.009950316892
x20 = 23.1692458202247
x21 = -42.8041999051609
x22 = 13.7444678594553
x23 = 45.1603943953533
x24 = 42.0188017417635
x25 = -71.0785337874691
x26 = -1.96349540849362
x27 = -74.2201264410589
x28 = -14.5298660228528
x29 = -64.7953484802895
x30 = 38.8772090881737
x31 = -5.10508806208341
x32 = 79.717913584841
x33 = 10.6028752058656
x34 = 76.5763209312512
x35 = -52.2289778659303
x36 = 1.17809724509617
x37 = 20.0276531666349
x38 = 95.42587685279
x39 = 101.70906215997
x40 = 164.540915231765
x41 = -27.096236637212
x42 = -36.5210145979813
x43 = -96.2112750161874
x44 = -89.9280897090078
x45 = -20.8130513300324
x46 = -108.777645630547
x47 = -67.9369411338793
x48 = -61.6537558266997
x49 = -994.706773942868
x50 = -23.9546439836222
x51 = 4.31968989868597
x52 = -86.786497055418
x53 = -77.3617190946487
x54 = 70.2931356240716
x55 = 29.4524311274043
x56 = -11.388273369263
x57 = -93.0696823625976
x58 = 92.2842841992002
x59 = -49.0873852123405
x60 = 86.0010988920206
x61 = 35.7356164345839
x62 = 48.3019870489431
x63 = -3432.58267312855
x64 = 26.3108384738145
x65 = -55.3705705195201
x66 = 57.7267650097125
x67 = 73.4347282776614
x68 = -83.6449044018282
x69 = -39.6626072515711
x70 = 32.5940237809941
x71 = 89.1426915456104
x71 = 89.1426915456104