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La ecuación:
Ecuación x^2+5x=36
Ecuación 9-7(x+3)=5-6x
Ecuación 4x-5=3+2(x+1)
Ecuación 6/(x-2)+5/x=3
Expresar {x} en función de y en la ecuación:
-14*x-12*y=-13
-20*x+14*y=16
-7*x+15*y=-11
-14*x+5*y=3
Expresiones idénticas
sin^ tres (x)+sinx+ dos ^ cero . cinco = dos ^ cero . cinco *cos2x
seno de al cubo (x) más seno de x más 2 en el grado 0.5 es igual a 2 en el grado 0.5 multiplicar por coseno de 2x
seno de en el grado tres (x) más seno de x más dos en el grado cero . cinco es igual a dos en el grado cero . cinco multiplicar por coseno de 2x
sin3(x)+sinx+20.5=20.5*cos2x
sin3x+sinx+20.5=20.5*cos2x
sin³(x)+sinx+2^0.5=2^0.5*cos2x
sin en el grado 3(x)+sinx+2 en el grado 0.5=2 en el grado 0.5*cos2x
sin^3(x)+sinx+2^0.5=2^0.5cos2x
sin3(x)+sinx+20.5=20.5cos2x
sin3x+sinx+20.5=20.5cos2x
sin^3x+sinx+2^0.5=2^0.5cos2x
Expresiones semejantes
sin^3(x)-sinx+2^0.5=2^0.5*cos2x
sin^3(x)+sinx-2^0.5=2^0.5*cos2x
Expresiones con funciones
Seno sin
sin(x)=1/2
sin(x)-sqrt(2)/2=0
sin(x)/x=1
sin(x)=-0,5
sin(x)=-1/7
sinx
sinx^2-0.5*cosx-1=0
sinx=2/7
sinx+|cosx|=sin4x+cos2x
sinx⋅cosx=(2√/2)sinx
sinx^2+1/2sin2x-2cosx^2=0

sin^3(x)+sinx+2^0.5=2^0.5*cos2x la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

   3                 ___     ___         
sin (x) + sin(x) + \/ 2  = \/ 2 *cos(2*x)

$$\left(\sin^{3}{\left(x \right)} + \sin{\left(x \right)}\right) + \sqrt{2} = \sqrt{2} \cos{\left(2 x \right)}$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

x1 = 0

$$x_{1} = 0$$

x2 = pi

$$x_{2} = \pi$$

           /                         ____________\
           |  /      ___\     ___   /        ___ |
x3 = -I*log\I*\1 - \/ 2 / - \/ 2 *\/  -1 + \/ 2  /

$$x_{3} = - i \log{\left(- \sqrt{2} \sqrt{-1 + \sqrt{2}} + i \left(1 - \sqrt{2}\right) \right)}$$

           /                         ____________\
           |  /      ___\     ___   /        ___ |
x4 = -I*log\I*\1 - \/ 2 / + \/ 2 *\/  -1 + \/ 2  /

$$x_{4} = - i \log{\left(\sqrt{2} \sqrt{-1 + \sqrt{2}} + i \left(1 - \sqrt{2}\right) \right)}$$

                 /                     ___________\
       pi        |      ___     ___   /       ___ |
x5 = - -- - I*log\1 + \/ 2  + \/ 2 *\/  1 + \/ 2  /
       2

$$x_{5} = - \frac{\pi}{2} - i \log{\left(1 + \sqrt{2} + \sqrt{2} \sqrt{1 + \sqrt{2}} \right)}$$

                 /                     ___________\
       pi        |      ___     ___   /       ___ |
x6 = - -- - I*log\1 + \/ 2  - \/ 2 *\/  1 + \/ 2  /
       2

$$x_{6} = - \frac{\pi}{2} - i \log{\left(- \sqrt{2} \sqrt{1 + \sqrt{2}} + 1 + \sqrt{2} \right)}$$

x6 = -pi/2 - i*log(-sqrt(2)*sqrt(1 + sqrt(2)) + 1 + sqrt(2))

Suma y producto de raíces [src]

suma

          /                         ____________\        /                         ____________\               /                     ___________\               /                     ___________\
          |  /      ___\     ___   /        ___ |        |  /      ___\     ___   /        ___ |     pi        |      ___     ___   /       ___ |     pi        |      ___     ___   /       ___ |
pi - I*log\I*\1 - \/ 2 / - \/ 2 *\/  -1 + \/ 2  / - I*log\I*\1 - \/ 2 / + \/ 2 *\/  -1 + \/ 2  / + - -- - I*log\1 + \/ 2  + \/ 2 *\/  1 + \/ 2  / + - -- - I*log\1 + \/ 2  - \/ 2 *\/  1 + \/ 2  /
                                                                                                     2                                                2

$$\left(\left(- i \log{\left(\sqrt{2} \sqrt{-1 + \sqrt{2}} + i \left(1 - \sqrt{2}\right) \right)} + \left(- i \log{\left(- \sqrt{2} \sqrt{-1 + \sqrt{2}} + i \left(1 - \sqrt{2}\right) \right)} + \pi\right)\right) + \left(- \frac{\pi}{2} - i \log{\left(1 + \sqrt{2} + \sqrt{2} \sqrt{1 + \sqrt{2}} \right)}\right)\right) + \left(- \frac{\pi}{2} - i \log{\left(- \sqrt{2} \sqrt{1 + \sqrt{2}} + 1 + \sqrt{2} \right)}\right)$$

       /                         ____________\        /                         ____________\        /                     ___________\        /                     ___________\
       |  /      ___\     ___   /        ___ |        |  /      ___\     ___   /        ___ |        |      ___     ___   /       ___ |        |      ___     ___   /       ___ |
- I*log\I*\1 - \/ 2 / + \/ 2 *\/  -1 + \/ 2  / - I*log\I*\1 - \/ 2 / - \/ 2 *\/  -1 + \/ 2  / - I*log\1 + \/ 2  + \/ 2 *\/  1 + \/ 2  / - I*log\1 + \/ 2  - \/ 2 *\/  1 + \/ 2  /

$$- i \log{\left(- \sqrt{2} \sqrt{-1 + \sqrt{2}} + i \left(1 - \sqrt{2}\right) \right)} - i \log{\left(\sqrt{2} \sqrt{-1 + \sqrt{2}} + i \left(1 - \sqrt{2}\right) \right)} - i \log{\left(1 + \sqrt{2} + \sqrt{2} \sqrt{1 + \sqrt{2}} \right)} - i \log{\left(- \sqrt{2} \sqrt{1 + \sqrt{2}} + 1 + \sqrt{2} \right)}$$

producto

     /      /                         ____________\\ /      /                         ____________\\ /            /                     ___________\\ /            /                     ___________\\
     |      |  /      ___\     ___   /        ___ || |      |  /      ___\     ___   /        ___ || |  pi        |      ___     ___   /       ___ || |  pi        |      ___     ___   /       ___ ||
0*pi*\-I*log\I*\1 - \/ 2 / - \/ 2 *\/  -1 + \/ 2  //*\-I*log\I*\1 - \/ 2 / + \/ 2 *\/  -1 + \/ 2  //*|- -- - I*log\1 + \/ 2  + \/ 2 *\/  1 + \/ 2  /|*|- -- - I*log\1 + \/ 2  - \/ 2 *\/  1 + \/ 2  /|
                                                                                                     \  2                                           / \  2                                           /

$$- i \log{\left(\sqrt{2} \sqrt{-1 + \sqrt{2}} + i \left(1 - \sqrt{2}\right) \right)} 0 \pi \left(- i \log{\left(- \sqrt{2} \sqrt{-1 + \sqrt{2}} + i \left(1 - \sqrt{2}\right) \right)}\right) \left(- \frac{\pi}{2} - i \log{\left(1 + \sqrt{2} + \sqrt{2} \sqrt{1 + \sqrt{2}} \right)}\right) \left(- \frac{\pi}{2} - i \log{\left(- \sqrt{2} \sqrt{1 + \sqrt{2}} + 1 + \sqrt{2} \right)}\right)$$

$$0$$

Respuesta numérica [src]

x1 = 65.9734457253857

x2 = 69.1150383789755

x3 = -21.9911485751286

x4 = 21.9911485751286

x5 = -3.14159265358979

x6 = -15.707963267949

x7 = 172.787595947439

x8 = 3.56867123998227

x9 = 6.28318530717959

x10 = -59.2631818318136

x11 = -71.8295524461728

x12 = 16.1350418543414

x13 = 28.2743338823081

x14 = -94.2477796076938

x15 = -12.9934492007516

x16 = -12.5663706143592

x17 = -53.4070751110265

x18 = 84.8230016469244

x19 = -31.8430051222904

x20 = -128.378220210789

x21 = 30.9888479495055

x22 = 62.4047744854034

x23 = 100.103886328481

x24 = 25.1327412287183

x25 = 72.2566310325652

x26 = 47.5509683902394

x27 = -25.5598198151108

x28 = -50.2654824574367

x29 = 72.6837096189577

x30 = 78.5398163397448

x31 = -87.9645943005142

x32 = 37.6991118430775

x33 = -6.28318530717959

x34 = -37.6991118430775

x35 = -43.9822971502571

x36 = 68.687959792583

x37 = 47.1238898038469

x38 = -84.3959230605319

x39 = -63.2589316581883

x40 = -100.530964914873

x41 = 3.14159265358979

x42 = -78.1127377533523

x43 = -81.6814089933346

x44 = -19.2766345079312

x45 = -46.6968112174544

x46 = -40.8407044966673

x47 = -65.9734457253857

x48 = 0.0

x49 = 12.1392920279667

x50 = -56.5486677646163

x51 = 91.106186954104

x52 = 31.4159265358979

x53 = 56.1215891782238

x54 = 24.7056626423259

x55 = 43.9822971502571

x56 = -47.1238898038469

x57 = 213.201221857713

x58 = 97.8164508476761

x59 = -97.3893722612836

x60 = 81.6814089933346

x61 = 298.878380677423

x62 = -69.5421169653679

x63 = 50.2654824574367

x64 = 94.2477796076938

x65 = 53.834153697419

x66 = -84.8230016469244

x67 = -91.106186954104

x68 = -40.4136259102748

x69 = -59.6902604182061

x70 = -34.1304406030953

x71 = -75.8253022725475

x72 = 18.4224773351463

x73 = 34.5575191894877

x74 = 60.1173390045985

x75 = -62.8318530717959

x76 = 148.081933305113

x77 = -18.8495559215388

x78 = 87.9645943005142

x79 = -27.8472552959157

x80 = 40.8407044966673

x81 = -9.42477796076938

x82 = 91.5332655404965

x83 = 9.85185654716186

x84 = -31.4159265358979

x85 = 75.398223686155

x85 = 75.398223686155

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Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

sin^3(x)+sinx+2^0.5=2^0.5*cos2x la ecuación

Solución numérica:

Solución