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La ecuación:
Ecuación x^4+2*x^2-8=0
Ecuación x*(x^2+8*x+16)=5*(x+4)
Ecuación -25-x=-17
Ecuación x^2+3x=4
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+1*y=-11
Gráfico de la función y =:
sinx*cosx
Derivada de:
sinx*cosx
Integral de d{x}:
sinx*cosx
Expresiones idénticas
sinx*cosx=-cbrt(dos)/ cuatro
seno de x multiplicar por coseno de x es igual a menos raíz cúbica de (2) dividir por 4
seno de x multiplicar por coseno de x es igual a menos raíz cúbica de (dos) dividir por cuatro
sinxcosx=-cbrt(2)/4
sinxcosx=-cbrt2/4
sinx*cosx=-cbrt(2) dividir por 4
Expresiones semejantes
sinx*cosx=+cbrt(2)/4
5sin^2(x)-3sin(x)cos(x)-2cos^2(x)=0
sin(x)*cos(x)=0
-2*sin(x)*cos(x)-2*sin(x)=0
Expresiones con funciones
sinx
sinx=0,13
Sinx+√3Cosx=0
sinx
sinx=1/3
sinx+cosx/sinx=2cotx
cosx
cosx/2=1/2
cosx-2sinx=|cosx|
cosx=-3√2
cosx/1+sinx=0
cosx+sin(п/2-x)+cos(п+x)=0
Raíz cúbica cbrt
cbrt(x^2-4*x+3)=-x^2+3*x-2
cbrt(x)y=x
cbrt(x)*(log(1/x))=1
cbrt(2*x-1)+cbrt(x-1)=1
cbrt(x+1)-cbrt(x-1)=sqrt(cbrt(x^2-1))

sinx*cosx=-cbrt(2)/4 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

                 3 ___ 
                -\/ 2  
sin(x)*cos(x) = -------
                   4

$$\sin{\left(x \right)} \cos{\left(x \right)} = \frac{\left(-1\right) \sqrt[3]{2}}{4}$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Suma y producto de raíces [src]

suma

        /     _________________________________                           \         /            _________________________________                    \         /            _________________________________                    \         /                                _________________________________\
        |    /                               2                            |         |           /                               2                     |         |           /                               2                     |         |                               /                               2 |
        |   /      /          ______________\        ______________       |         |          /      /          ______________\        ______________|         |          /      /          ______________\        ______________|         |          ______________      /      /          ______________\  |
        |  /       | 2/3     /        3 ___ |       /        3 ___     2/3|         | 2/3     /       | 2/3     /        3 ___ |       /        3 ___ |         | 2/3     /       | 2/3     /        3 ___ |       /        3 ___ |         | 2/3     /        3 ___      /       | 2/3     /        3 ___ |  |
- 2*atan\\/    1 + \2    - \/  -1 + 2*\/ 2  /   + \/  -1 + 2*\/ 2   - 2   / + 2*atan\2    + \/    1 + \2    - \/  -1 + 2*\/ 2  /   - \/  -1 + 2*\/ 2  / + 2*atan\2    + \/    1 + \2    + \/  -1 + 2*\/ 2  /   + \/  -1 + 2*\/ 2  / + 2*atan\2    + \/  -1 + 2*\/ 2   - \/    1 + \2    + \/  -1 + 2*\/ 2  /  /

$$2 \operatorname{atan}{\left(- \sqrt{1 + \left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2}} + \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}} \right)} + \left(\left(- 2 \operatorname{atan}{\left(- 2^{\frac{2}{3}} + \sqrt{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2} + 1} + \sqrt{-1 + 2 \sqrt[3]{2}} \right)} + 2 \operatorname{atan}{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + \sqrt{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2} + 1} + 2^{\frac{2}{3}} \right)}\right) + 2 \operatorname{atan}{\left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}} + \sqrt{1 + \left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2}} \right)}\right)$$

        /     _________________________________                           \         /            _________________________________                    \         /            _________________________________                    \         /                                _________________________________\
        |    /                               2                            |         |           /                               2                     |         |           /                               2                     |         |                               /                               2 |
        |   /      /          ______________\        ______________       |         |          /      /          ______________\        ______________|         |          /      /          ______________\        ______________|         |          ______________      /      /          ______________\  |
        |  /       | 2/3     /        3 ___ |       /        3 ___     2/3|         | 2/3     /       | 2/3     /        3 ___ |       /        3 ___ |         | 2/3     /       | 2/3     /        3 ___ |       /        3 ___ |         | 2/3     /        3 ___      /       | 2/3     /        3 ___ |  |
- 2*atan\\/    1 + \2    - \/  -1 + 2*\/ 2  /   + \/  -1 + 2*\/ 2   - 2   / + 2*atan\2    + \/    1 + \2    + \/  -1 + 2*\/ 2  /   + \/  -1 + 2*\/ 2  / + 2*atan\2    + \/    1 + \2    - \/  -1 + 2*\/ 2  /   - \/  -1 + 2*\/ 2  / + 2*atan\2    + \/  -1 + 2*\/ 2   - \/    1 + \2    + \/  -1 + 2*\/ 2  /  /

$$- 2 \operatorname{atan}{\left(- 2^{\frac{2}{3}} + \sqrt{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2} + 1} + \sqrt{-1 + 2 \sqrt[3]{2}} \right)} + 2 \operatorname{atan}{\left(- \sqrt{1 + \left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2}} + \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}} \right)} + 2 \operatorname{atan}{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + \sqrt{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2} + 1} + 2^{\frac{2}{3}} \right)} + 2 \operatorname{atan}{\left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}} + \sqrt{1 + \left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2}} \right)}$$

producto

       /     _________________________________                           \       /            _________________________________                    \       /            _________________________________                    \       /                                _________________________________\
       |    /                               2                            |       |           /                               2                     |       |           /                               2                     |       |                               /                               2 |
       |   /      /          ______________\        ______________       |       |          /      /          ______________\        ______________|       |          /      /          ______________\        ______________|       |          ______________      /      /          ______________\  |
       |  /       | 2/3     /        3 ___ |       /        3 ___     2/3|       | 2/3     /       | 2/3     /        3 ___ |       /        3 ___ |       | 2/3     /       | 2/3     /        3 ___ |       /        3 ___ |       | 2/3     /        3 ___      /       | 2/3     /        3 ___ |  |
-2*atan\\/    1 + \2    - \/  -1 + 2*\/ 2  /   + \/  -1 + 2*\/ 2   - 2   /*2*atan\2    + \/    1 + \2    - \/  -1 + 2*\/ 2  /   - \/  -1 + 2*\/ 2  /*2*atan\2    + \/    1 + \2    + \/  -1 + 2*\/ 2  /   + \/  -1 + 2*\/ 2  /*2*atan\2    + \/  -1 + 2*\/ 2   - \/    1 + \2    + \/  -1 + 2*\/ 2  /  /

$$- 2 \operatorname{atan}{\left(- 2^{\frac{2}{3}} + \sqrt{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2} + 1} + \sqrt{-1 + 2 \sqrt[3]{2}} \right)} 2 \operatorname{atan}{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + \sqrt{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2} + 1} + 2^{\frac{2}{3}} \right)} 2 \operatorname{atan}{\left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}} + \sqrt{1 + \left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2}} \right)} 2 \operatorname{atan}{\left(- \sqrt{1 + \left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2}} + \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}} \right)}$$

        /            _________________________________                    \     /            _________________________________                    \     /                                _________________________________\     /     _________________________________                           \
        |           /                               2                     |     |           /                               2                     |     |                               /                               2 |     |    /                               2                            |
        |          /      /          ______________\        ______________|     |          /      /          ______________\        ______________|     |          ______________      /      /          ______________\  |     |   /      /          ______________\        ______________       |
        | 2/3     /       | 2/3     /        3 ___ |       /        3 ___ |     | 2/3     /       | 2/3     /        3 ___ |       /        3 ___ |     | 2/3     /        3 ___      /       | 2/3     /        3 ___ |  |     |  /       | 2/3     /        3 ___ |       /        3 ___     2/3|
-16*atan\2    + \/    1 + \2    + \/  -1 + 2*\/ 2  /   + \/  -1 + 2*\/ 2  /*atan\2    + \/    1 + \2    - \/  -1 + 2*\/ 2  /   - \/  -1 + 2*\/ 2  /*atan\2    + \/  -1 + 2*\/ 2   - \/    1 + \2    + \/  -1 + 2*\/ 2  /  /*atan\\/    1 + \2    - \/  -1 + 2*\/ 2  /   + \/  -1 + 2*\/ 2   - 2   /

$$- 16 \operatorname{atan}{\left(- 2^{\frac{2}{3}} + \sqrt{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2} + 1} + \sqrt{-1 + 2 \sqrt[3]{2}} \right)} \operatorname{atan}{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + \sqrt{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2} + 1} + 2^{\frac{2}{3}} \right)} \operatorname{atan}{\left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}} + \sqrt{1 + \left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2}} \right)} \operatorname{atan}{\left(- \sqrt{1 + \left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2}} + \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}} \right)}$$

-16*atan(2^(2/3) + sqrt(1 + (2^(2/3) + sqrt(-1 + 2*2^(1/3)))^2) + sqrt(-1 + 2*2^(1/3)))*atan(2^(2/3) + sqrt(1 + (2^(2/3) - sqrt(-1 + 2*2^(1/3)))^2) - sqrt(-1 + 2*2^(1/3)))*atan(2^(2/3) + sqrt(-1 + 2*2^(1/3)) - sqrt(1 + (2^(2/3) + sqrt(-1 + 2*2^(1/3)))^2))*atan(sqrt(1 + (2^(2/3) - sqrt(-1 + 2*2^(1/3)))^2) + sqrt(-1 + 2*2^(1/3)) - 2^(2/3))

Respuesta rápida [src]

            /     _________________________________                           \
            |    /                               2                            |
            |   /      /          ______________\        ______________       |
            |  /       | 2/3     /        3 ___ |       /        3 ___     2/3|
x1 = -2*atan\\/    1 + \2    - \/  -1 + 2*\/ 2  /   + \/  -1 + 2*\/ 2   - 2   /

$$x_{1} = - 2 \operatorname{atan}{\left(- 2^{\frac{2}{3}} + \sqrt{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2} + 1} + \sqrt{-1 + 2 \sqrt[3]{2}} \right)}$$

           /            _________________________________                    \
           |           /                               2                     |
           |          /      /          ______________\        ______________|
           | 2/3     /       | 2/3     /        3 ___ |       /        3 ___ |
x2 = 2*atan\2    + \/    1 + \2    - \/  -1 + 2*\/ 2  /   - \/  -1 + 2*\/ 2  /

$$x_{2} = 2 \operatorname{atan}{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + \sqrt{\left(- \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2} + 1} + 2^{\frac{2}{3}} \right)}$$

           /            _________________________________                    \
           |           /                               2                     |
           |          /      /          ______________\        ______________|
           | 2/3     /       | 2/3     /        3 ___ |       /        3 ___ |
x3 = 2*atan\2    + \/    1 + \2    + \/  -1 + 2*\/ 2  /   + \/  -1 + 2*\/ 2  /

$$x_{3} = 2 \operatorname{atan}{\left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}} + \sqrt{1 + \left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2}} \right)}$$

           /                                _________________________________\
           |                               /                               2 |
           |          ______________      /      /          ______________\  |
           | 2/3     /        3 ___      /       | 2/3     /        3 ___ |  |
x4 = 2*atan\2    + \/  -1 + 2*\/ 2   - \/    1 + \2    + \/  -1 + 2*\/ 2  /  /

$$x_{4} = 2 \operatorname{atan}{\left(- \sqrt{1 + \left(\sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}}\right)^{2}} + \sqrt{-1 + 2 \sqrt[3]{2}} + 2^{\frac{2}{3}} \right)}$$

x4 = 2*atan(-sqrt(1 + (sqrt(-1 + 2*2^(1/3)) + 2^(2/3))^2) + sqrt(-1 + 2*2^(1/3)) + 2^(2/3))

Respuesta numérica [src]

x1 = -23.2211937110827

x2 = 8.19473282481519

x3 = -42.0707496326215

x4 = -94.5885307985345

x5 = 90.7654357632633

x6 = 27.0442887463539

x7 = -0.340751190840707

x8 = -63.1726042626366

x9 = -75.7389748769957

x10 = 37.3583606522368

x11 = 87.6238431096735

x12 = 100.190213724033

x13 = -53.7478263018672

x14 = 12.2256194235185

x15 = -35.7875643254419

x16 = -45.2123422862113

x17 = -97.7301234521243

x18 = -9.76552915161009

x19 = -29.5043790182623

x20 = 18.5088047306981

x21 = -57.7787129005705

x22 = 5.94243411633888

x23 = 21.6503973842878

x24 = 30.1858813999437

x25 = -86.0530467828786

x26 = -16.0487144587897

x27 = 20.7611034391744

x28 = 14.4779181319948

x29 = -44.3230483410978

x30 = 67.8849932430213

x31 = 58.4602152822519

x32 = 65.632694534545

x33 = 62.4911018809552

x34 = -31.7566777267386

x35 = -485.035313788782

x36 = 49.924731266596

x37 = -50.6062336482774

x38 = 1.9115475176356

x39 = 74.1681785502008

x40 = -79.769861475699

x41 = 23.9026960927642

x42 = 93.9070284168531

x43 = -13.7964157503134

x44 = 27.9335826914674

x45 = -72.597382223406

x46 = -95.477824743648

x47 = 59.3495092273654

x48 = 42.7522520143029

x49 = -66.3141969162264

x50 = 71.9158798417245

x51 = 96.1593271253294

x52 = 78.1990651489041

x53 = -82.0221601841753

x54 = -1.23004513595419

x55 = -67.2034908613398

x56 = 56.2079165737756

x57 = -3.4823438444305

x58 = -7.51323044313378

x59 = 86.73454916456

x60 = -60.0310116090468

x61 = 64.7434005894315

x62 = -51.4955275933909

x63 = 40.4999533058266

x64 = 46.7831386130062

x65 = 81.3406578024939

x66 = -88.3053454913549

x67 = -73.4866761685194

x68 = -25.4734924195591

x69 = 34.216767998647

x70 = -20.0796010574929

x71 = 52.1770299750723

x72 = -64.06189820775

x73 = 84.4822504560837

x74 = 80.4513638573804

x75 = 89.8761418181498

x76 = -38.0398630339182

x77 = 36.4690667071233

x78 = -22.3318997659693

x79 = 45.8938446678927

x80 = 43.6415459594164

x81 = 15.3672120771083

x82 = -6.62393649802029

x83 = -89.1946394364684

x84 = -28.6150850731488

x84 = -28.6150850731488

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Expresiones con funciones

sinx*cosx=-cbrt(2)/4 la ecuación

Solución numérica:

Solución