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- La ecuación:
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Ecuación (x-3)*(x+2)=0
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Ecuación z^2-6*z+10=0
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Ecuación 4/(x-4)=-5
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Ecuación (x-6)^2=-24*x
- Expresar {x} en función de y en la ecuación:
- -7*x-13*y=5
- 15*x+1*y=19
- 7*x-1*y=-7
- -14*x-12*y=5
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Expresiones idénticas
- tres * cuatro *sin(x)-sin(x)^ tres + dos *sqrt(tres)= dos *sqrt(tres)cos(dos *x)
- 3 multiplicar por 4 multiplicar por seno de (x) menos seno de (x) al cubo más 2 multiplicar por raíz cuadrada de (3) es igual a 2 multiplicar por raíz cuadrada de (3) coseno de (2 multiplicar por x)
- tres multiplicar por cuatro multiplicar por seno de (x) menos seno de (x) en el grado tres más dos multiplicar por raíz cuadrada de (tres) es igual a dos multiplicar por raíz cuadrada de (tres) coseno de (dos multiplicar por x)
- 3*4*sin(x)-sin(x)^3+2*√(3)=2*√(3)cos(2*x)
- 3*4*sin(x)-sin(x)3+2*sqrt(3)=2*sqrt(3)cos(2*x)
- 3*4*sinx-sinx3+2*sqrt3=2*sqrt3cos2*x
- 3*4*sin(x)-sin(x)³+2*sqrt(3)=2*sqrt(3)cos(2*x)
- 3*4*sin(x)-sin(x) en el grado 3+2*sqrt(3)=2*sqrt(3)cos(2*x)
- 34sin(x)-sin(x)^3+2sqrt(3)=2sqrt(3)cos(2x)
- 34sin(x)-sin(x)3+2sqrt(3)=2sqrt(3)cos(2x)
- 34sinx-sinx3+2sqrt3=2sqrt3cos2x
- 34sinx-sinx^3+2sqrt3=2sqrt3cos2x
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Expresiones semejantes
- 3*4*sin(x)+sin(x)^3+2*sqrt(3)=2*sqrt(3)cos(2*x)
- 3*4*sin(x)-sin(x)^3-2*sqrt(3)=2*sqrt(3)cos(2*x)
- 4sin^3x-3sin^2+2sqrt3=2sqrt3cos2x
- 8*sin^2(((7*pi)/12)+x)-2*sqrt(3)*cos(2x)=5
- 4sin^3(x)+3sin(x)+2*sqrt(3)=2*sqrt(3)cos(2x)
- 3*4*sinx-sinx^3+2*sqrt(3)=2*sqrt(3)cos(2*x)
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Expresiones con funciones
- Seno sin
- sin(x)=(-1)/sqrt(2)
- sin(x)=-5/2
- sin((pi*x)/4)=1
- sin(2*x)-sin(x)=0
- sin(x)=-1/3
- Seno sin
- sin(x)=(-1)/sqrt(2)
- sin(x)=-5/2
- sin((pi*x)/4)=1
- sin(2*x)-sin(x)=0
- sin(x)=-1/3
- Raíz cuadrada sqrt
- sqrt(x)=1
- sqrt(x-2)+sqrt(y-2)=2
- sqrt(x^2+9)=2*x-3
- sqrt(x)=-2
- sqrt(2-x)+sqrt(-x-1)=sqrt(-5*x-7)
- Raíz cuadrada sqrt
- sqrt(x)=1
- sqrt(x-2)+sqrt(y-2)=2
- sqrt(x^2+9)=2*x-3
- sqrt(x)=-2
- sqrt(2-x)+sqrt(-x-1)=sqrt(-5*x-7)
- Coseno cos
- cos(x)^2=cos(x)
- cos^2(x)=1
- cos(4*x)=0
- cos(pi*x)=-1
- cos(x)=x^2+1
3*4*sin(x)-sin(x)^3+2*sqrt(3)=2*sqrt(3)cos(2*x) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3 ___ ___ 12*sin(x) - sin (x) + 2*\/ 3 = 2*\/ 3 *cos(2*x)
$$\left(- \sin^{3}{\left(x \right)} + 12 \sin{\left(x \right)}\right) + 2 \sqrt{3} = 2 \sqrt{3} \cos{\left(2 x \right)}$$
Suma y producto de raíces
[src]
suma
/ _______________ \ / _______________ \ / _______________ \ / _______________ \
pi | / ___ ___ ___| pi | / ___ ___ ___| pi | / ___ ___ ___| pi | / ___ ___ ___|
pi + - -- - I*log\- \/ 35 - 24*\/ 2 - 2*\/ 3 + 2*\/ 6 / + - -- - I*log\\/ 35 - 24*\/ 2 - 2*\/ 3 + 2*\/ 6 / + -- - I*log\\/ 35 + 24*\/ 2 + 2*\/ 3 + 2*\/ 6 / + -- - I*log\- \/ 35 + 24*\/ 2 + 2*\/ 3 + 2*\/ 6 /
2 2 2 2
$$\left(\left(\frac{\pi}{2} - i \log{\left(2 \sqrt{3} + 2 \sqrt{6} + \sqrt{24 \sqrt{2} + 35} \right)}\right) + \left(\left(- \frac{\pi}{2} - i \log{\left(- 2 \sqrt{3} + \sqrt{35 - 24 \sqrt{2}} + 2 \sqrt{6} \right)}\right) + \left(\pi + \left(- \frac{\pi}{2} - i \log{\left(- 2 \sqrt{3} - \sqrt{35 - 24 \sqrt{2}} + 2 \sqrt{6} \right)}\right)\right)\right)\right) + \left(\frac{\pi}{2} - i \log{\left(- \sqrt{24 \sqrt{2} + 35} + 2 \sqrt{3} + 2 \sqrt{6} \right)}\right)$$
=
/ _______________ \ / _______________ \ / _______________ \ / _______________ \
| / ___ ___ ___| | / ___ ___ ___| | / ___ ___ ___| | / ___ ___ ___|
pi - I*log\\/ 35 - 24*\/ 2 - 2*\/ 3 + 2*\/ 6 / - I*log\\/ 35 + 24*\/ 2 + 2*\/ 3 + 2*\/ 6 / - I*log\- \/ 35 - 24*\/ 2 - 2*\/ 3 + 2*\/ 6 / - I*log\- \/ 35 + 24*\/ 2 + 2*\/ 3 + 2*\/ 6 /
$$\pi - i \log{\left(2 \sqrt{3} + 2 \sqrt{6} + \sqrt{24 \sqrt{2} + 35} \right)} - i \log{\left(- 2 \sqrt{3} + \sqrt{35 - 24 \sqrt{2}} + 2 \sqrt{6} \right)} - i \log{\left(- 2 \sqrt{3} - \sqrt{35 - 24 \sqrt{2}} + 2 \sqrt{6} \right)} - i \log{\left(- \sqrt{24 \sqrt{2} + 35} + 2 \sqrt{3} + 2 \sqrt{6} \right)}$$
producto
/ / _______________ \\ / / _______________ \\ / / _______________ \\ / / _______________ \\
| pi | / ___ ___ ___|| | pi | / ___ ___ ___|| |pi | / ___ ___ ___|| |pi | / ___ ___ ___||
0*pi*|- -- - I*log\- \/ 35 - 24*\/ 2 - 2*\/ 3 + 2*\/ 6 /|*|- -- - I*log\\/ 35 - 24*\/ 2 - 2*\/ 3 + 2*\/ 6 /|*|-- - I*log\\/ 35 + 24*\/ 2 + 2*\/ 3 + 2*\/ 6 /|*|-- - I*log\- \/ 35 + 24*\/ 2 + 2*\/ 3 + 2*\/ 6 /|
\ 2 / \ 2 / \2 / \2 /
$$0 \pi \left(- \frac{\pi}{2} - i \log{\left(- 2 \sqrt{3} - \sqrt{35 - 24 \sqrt{2}} + 2 \sqrt{6} \right)}\right) \left(- \frac{\pi}{2} - i \log{\left(- 2 \sqrt{3} + \sqrt{35 - 24 \sqrt{2}} + 2 \sqrt{6} \right)}\right) \left(\frac{\pi}{2} - i \log{\left(2 \sqrt{3} + 2 \sqrt{6} + \sqrt{24 \sqrt{2} + 35} \right)}\right) \left(\frac{\pi}{2} - i \log{\left(- \sqrt{24 \sqrt{2} + 35} + 2 \sqrt{3} + 2 \sqrt{6} \right)}\right)$$
=
0
$$0$$
0
Respuesta rápida
[src]
x1 = 0
$$x_{1} = 0$$
x2 = pi
$$x_{2} = \pi$$
/ _______________ \
pi | / ___ ___ ___|
x3 = - -- - I*log\- \/ 35 - 24*\/ 2 - 2*\/ 3 + 2*\/ 6 /
2
$$x_{3} = - \frac{\pi}{2} - i \log{\left(- 2 \sqrt{3} - \sqrt{35 - 24 \sqrt{2}} + 2 \sqrt{6} \right)}$$
/ _______________ \
pi | / ___ ___ ___|
x4 = - -- - I*log\\/ 35 - 24*\/ 2 - 2*\/ 3 + 2*\/ 6 /
2
$$x_{4} = - \frac{\pi}{2} - i \log{\left(- 2 \sqrt{3} + \sqrt{35 - 24 \sqrt{2}} + 2 \sqrt{6} \right)}$$
/ _______________ \
pi | / ___ ___ ___|
x5 = -- - I*log\\/ 35 + 24*\/ 2 + 2*\/ 3 + 2*\/ 6 /
2
$$x_{5} = \frac{\pi}{2} - i \log{\left(2 \sqrt{3} + 2 \sqrt{6} + \sqrt{24 \sqrt{2} + 35} \right)}$$
/ _______________ \
pi | / ___ ___ ___|
x6 = -- - I*log\- \/ 35 + 24*\/ 2 + 2*\/ 3 + 2*\/ 6 /
2
$$x_{6} = \frac{\pi}{2} - i \log{\left(- \sqrt{24 \sqrt{2} + 35} + 2 \sqrt{3} + 2 \sqrt{6} \right)}$$
x6 = pi/2 - i*log(-sqrt(24*sqrt(2) + 35) + 2*sqrt(3) + 2*sqrt(6))
Respuesta numérica
[src]
x1 = 31.4159265358979
x2 = 3.14159265358979
x3 = -47.1238898038469
x4 = -12.5663706143592
x5 = -34.5575191894877
x6 = 75.398223686155
x7 = -50.2654824574367
x8 = -65.9734457253857
x9 = 147.65485471872
x10 = -56.5486677646163
x11 = 69.1150383789755
x12 = 59.6902604182061
x13 = 72.2566310325652
x14 = 91.106186954104
x15 = -91.106186954104
x16 = -62.8318530717959
x17 = -6.28318530717959
x18 = 6.28318530717959
x19 = 62.8318530717959
x20 = 191.637151868977
x21 = 94.2477796076938
x22 = -9.42477796076938
x23 = -37.6991118430775
x24 = 65.9734457253857
x25 = -100.530964914873
x26 = -43.9822971502571
x27 = 25.1327412287183
x28 = 21.9911485751286
x29 = 87.9645943005142
x30 = -40.8407044966673
x31 = -97.3893722612836
x32 = 43.9822971502571
x33 = -53.4070751110265
x34 = -31.4159265358979
x35 = 100.530964914873
x36 = -326.725635973339
x37 = -94.2477796076938
x38 = 78.5398163397448
x39 = -18.8495559215388
x40 = 53.4070751110265
x41 = 47.1238898038469
x42 = 12.5663706143592
x43 = 81.6814089933346
x44 = 34.5575191894877
x45 = -75.398223686155
x46 = -15.707963267949
x47 = 50.2654824574367
x48 = -81.6814089933346
x49 = -3.14159265358979
x50 = -59.6902604182061
x51 = -28.2743338823081
x52 = -87.9645943005142
x53 = 9.42477796076938
x54 = -21.9911485751286
x55 = 56.5486677646163
x56 = 15.707963267949
x57 = 84.8230016469244
x58 = -78.5398163397448
x59 = 37.6991118430775
x60 = -72.2566310325652
x61 = -84.8230016469244
x62 = -138.230076757951
x63 = 0.0
x64 = 28.2743338823081
x65 = 40.8407044966673
x65 = 40.8407044966673