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La ecuación:
Ecuación -x+7=0
Ecuación x+(x/4)=-5
Ecuación z^4-81=0
Ecuación z^3=8
Expresar {x} en función de y en la ecuación:
-18*x-8*y=-18
-13*x+12*y=-19
-1*x+11*y=-9
16*x-11*y=13
Expresiones idénticas
dos cosxsinx- cuatro (cosx)^ dos + cuatro *(sinx)^2= cero
2 coseno de x seno de x menos 4( coseno de x) al cuadrado más 4 multiplicar por ( seno de x) al cuadrado es igual a 0
dos coseno de x seno de x menos cuatro ( coseno de x) en el grado dos más cuatro multiplicar por ( seno de x) al cuadrado es igual a cero
2cosxsinx-4(cosx)2+4*(sinx)2=0
2cosxsinx-4cosx2+4*sinx2=0
2cosxsinx-4(cosx)²+4*(sinx)²=0
2cosxsinx-4(cosx) en el grado 2+4*(sinx) en el grado 2=0
2cosxsinx-4(cosx)^2+4(sinx)^2=0
2cosxsinx-4(cosx)2+4(sinx)2=0
2cosxsinx-4cosx2+4sinx2=0
2cosxsinx-4cosx^2+4sinx^2=0
2cosxsinx-4(cosx)^2+4*(sinx)^2=O
Expresiones semejantes
2cosxsinx+4(cosx)^2+4*(sinx)^2=0
2cosxsinx-4(cosx)^2-4*(sinx)^2=0

2cosxsinx-4(cosx)^2+4*(sinx)^2=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

                       2           2       
2*cos(x)*sin(x) - 4*cos (x) + 4*sin (x) = 0

$$\left(\sin{\left(x \right)} 2 \cos{\left(x \right)} - 4 \cos^{2}{\left(x \right)}\right) + 4 \sin^{2}{\left(x \right)} = 0$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

           /                        _____________\
           |        ____     ___   /        ____ |
           |  1   \/ 17    \/ 2 *\/  17 - \/ 17  |
x1 = 2*atan|- - + ------ + ----------------------|
           \  4     4                4           /

$$x_{1} = 2 \operatorname{atan}{\left(- \frac{1}{4} + \frac{\sqrt{17}}{4} + \frac{\sqrt{2} \sqrt{17 - \sqrt{17}}}{4} \right)}$$

            /                      _____________\
            |      ____     ___   /        ____ |
            |1   \/ 17    \/ 2 *\/  17 + \/ 17  |
x2 = -2*atan|- + ------ + ----------------------|
            \4     4                4           /

$$x_{2} = - 2 \operatorname{atan}{\left(\frac{1}{4} + \frac{\sqrt{17}}{4} + \frac{\sqrt{2} \sqrt{\sqrt{17} + 17}}{4} \right)}$$

            /                      _____________\
            |      ____     ___   /        ____ |
            |1   \/ 17    \/ 2 *\/  17 - \/ 17  |
x3 = -2*atan|- - ------ + ----------------------|
            \4     4                4           /

$$x_{3} = - 2 \operatorname{atan}{\left(- \frac{\sqrt{17}}{4} + \frac{1}{4} + \frac{\sqrt{2} \sqrt{17 - \sqrt{17}}}{4} \right)}$$

            /                      _____________\
            |      ____     ___   /        ____ |
            |1   \/ 17    \/ 2 *\/  17 + \/ 17  |
x4 = -2*atan|- + ------ - ----------------------|
            \4     4                4           /

$$x_{4} = - 2 \operatorname{atan}{\left(- \frac{\sqrt{2} \sqrt{\sqrt{17} + 17}}{4} + \frac{1}{4} + \frac{\sqrt{17}}{4} \right)}$$

x4 = -2*atan(-sqrt(2)*sqrt(sqrt(17) + 17)/4 + 1/4 + sqrt(17)/4)

Suma y producto de raíces [src]

suma

      /                        _____________\         /                      _____________\         /                      _____________\         /                      _____________\
      |        ____     ___   /        ____ |         |      ____     ___   /        ____ |         |      ____     ___   /        ____ |         |      ____     ___   /        ____ |
      |  1   \/ 17    \/ 2 *\/  17 - \/ 17  |         |1   \/ 17    \/ 2 *\/  17 + \/ 17  |         |1   \/ 17    \/ 2 *\/  17 - \/ 17  |         |1   \/ 17    \/ 2 *\/  17 + \/ 17  |
2*atan|- - + ------ + ----------------------| - 2*atan|- + ------ + ----------------------| - 2*atan|- - ------ + ----------------------| - 2*atan|- + ------ - ----------------------|
      \  4     4                4           /         \4     4                4           /         \4     4                4           /         \4     4                4           /

$$\left(- 2 \operatorname{atan}{\left(- \frac{\sqrt{17}}{4} + \frac{1}{4} + \frac{\sqrt{2} \sqrt{17 - \sqrt{17}}}{4} \right)} + \left(- 2 \operatorname{atan}{\left(\frac{1}{4} + \frac{\sqrt{17}}{4} + \frac{\sqrt{2} \sqrt{\sqrt{17} + 17}}{4} \right)} + 2 \operatorname{atan}{\left(- \frac{1}{4} + \frac{\sqrt{17}}{4} + \frac{\sqrt{2} \sqrt{17 - \sqrt{17}}}{4} \right)}\right)\right) - 2 \operatorname{atan}{\left(- \frac{\sqrt{2} \sqrt{\sqrt{17} + 17}}{4} + \frac{1}{4} + \frac{\sqrt{17}}{4} \right)}$$

        /                      _____________\         /                      _____________\         /                      _____________\         /                        _____________\
        |      ____     ___   /        ____ |         |      ____     ___   /        ____ |         |      ____     ___   /        ____ |         |        ____     ___   /        ____ |
        |1   \/ 17    \/ 2 *\/  17 - \/ 17  |         |1   \/ 17    \/ 2 *\/  17 + \/ 17  |         |1   \/ 17    \/ 2 *\/  17 + \/ 17  |         |  1   \/ 17    \/ 2 *\/  17 - \/ 17  |
- 2*atan|- - ------ + ----------------------| - 2*atan|- + ------ - ----------------------| - 2*atan|- + ------ + ----------------------| + 2*atan|- - + ------ + ----------------------|
        \4     4                4           /         \4     4                4           /         \4     4                4           /         \  4     4                4           /

$$- 2 \operatorname{atan}{\left(\frac{1}{4} + \frac{\sqrt{17}}{4} + \frac{\sqrt{2} \sqrt{\sqrt{17} + 17}}{4} \right)} - 2 \operatorname{atan}{\left(- \frac{\sqrt{17}}{4} + \frac{1}{4} + \frac{\sqrt{2} \sqrt{17 - \sqrt{17}}}{4} \right)} - 2 \operatorname{atan}{\left(- \frac{\sqrt{2} \sqrt{\sqrt{17} + 17}}{4} + \frac{1}{4} + \frac{\sqrt{17}}{4} \right)} + 2 \operatorname{atan}{\left(- \frac{1}{4} + \frac{\sqrt{17}}{4} + \frac{\sqrt{2} \sqrt{17 - \sqrt{17}}}{4} \right)}$$

producto

      /                        _____________\        /                      _____________\        /                      _____________\        /                      _____________\
      |        ____     ___   /        ____ |        |      ____     ___   /        ____ |        |      ____     ___   /        ____ |        |      ____     ___   /        ____ |
      |  1   \/ 17    \/ 2 *\/  17 - \/ 17  |        |1   \/ 17    \/ 2 *\/  17 + \/ 17  |        |1   \/ 17    \/ 2 *\/  17 - \/ 17  |        |1   \/ 17    \/ 2 *\/  17 + \/ 17  |
2*atan|- - + ------ + ----------------------|*-2*atan|- + ------ + ----------------------|*-2*atan|- - ------ + ----------------------|*-2*atan|- + ------ - ----------------------|
      \  4     4                4           /        \4     4                4           /        \4     4                4           /        \4     4                4           /

$$2 \operatorname{atan}{\left(- \frac{1}{4} + \frac{\sqrt{17}}{4} + \frac{\sqrt{2} \sqrt{17 - \sqrt{17}}}{4} \right)} \left(- 2 \operatorname{atan}{\left(\frac{1}{4} + \frac{\sqrt{17}}{4} + \frac{\sqrt{2} \sqrt{\sqrt{17} + 17}}{4} \right)}\right) \left(- 2 \operatorname{atan}{\left(- \frac{\sqrt{17}}{4} + \frac{1}{4} + \frac{\sqrt{2} \sqrt{17 - \sqrt{17}}}{4} \right)}\right) \left(- 2 \operatorname{atan}{\left(- \frac{\sqrt{2} \sqrt{\sqrt{17} + 17}}{4} + \frac{1}{4} + \frac{\sqrt{17}}{4} \right)}\right)$$

        /                        _____________\     /                      _____________\     /                      _____________\     /                      _____________\
        |        ____     ___   /        ____ |     |      ____     ___   /        ____ |     |      ____     ___   /        ____ |     |      ____     ___   /        ____ |
        |  1   \/ 17    \/ 2 *\/  17 - \/ 17  |     |1   \/ 17    \/ 2 *\/  17 - \/ 17  |     |1   \/ 17    \/ 2 *\/  17 + \/ 17  |     |1   \/ 17    \/ 2 *\/  17 + \/ 17  |
-16*atan|- - + ------ + ----------------------|*atan|- - ------ + ----------------------|*atan|- + ------ - ----------------------|*atan|- + ------ + ----------------------|
        \  4     4                4           /     \4     4                4           /     \4     4                4           /     \4     4                4           /

$$- 16 \operatorname{atan}{\left(- \frac{1}{4} + \frac{\sqrt{17}}{4} + \frac{\sqrt{2} \sqrt{17 - \sqrt{17}}}{4} \right)} \operatorname{atan}{\left(\frac{1}{4} + \frac{\sqrt{17}}{4} + \frac{\sqrt{2} \sqrt{\sqrt{17} + 17}}{4} \right)} \operatorname{atan}{\left(- \frac{\sqrt{17}}{4} + \frac{1}{4} + \frac{\sqrt{2} \sqrt{17 - \sqrt{17}}}{4} \right)} \operatorname{atan}{\left(- \frac{\sqrt{2} \sqrt{\sqrt{17} + 17}}{4} + \frac{1}{4} + \frac{\sqrt{17}}{4} \right)}$$

-16*atan(-1/4 + sqrt(17)/4 + sqrt(2)*sqrt(17 - sqrt(17))/4)*atan(1/4 - sqrt(17)/4 + sqrt(2)*sqrt(17 - sqrt(17))/4)*atan(1/4 + sqrt(17)/4 - sqrt(2)*sqrt(17 + sqrt(17))/4)*atan(1/4 + sqrt(17)/4 + sqrt(2)*sqrt(17 + sqrt(17))/4)

Respuesta numérica [src]

x1 = 66.6363545572197

x2 = 10.0876867926034

x3 = 76.0611325179891

x4 = -57.4565552595772

x5 = -43.3193883184231

x6 = 47.7867986356809

x7 = -49.6025736256027

x8 = -26.0406287236792

x9 = 68.2071508840146

x10 = -33.8946103576537

x11 = -18.1866470897047

x12 = -71.5937222007312

x13 = -68.4521295471414

x14 = 2.23370515862891

x15 = 61.923965576835

x16 = 16.370872099783

x17 = 77.631928844784

x18 = -98.2972597562445

x19 = -62.1689442399618

x20 = 0.662908831834016

x21 = 19.5124647533728

x22 = -63.7397405667567

x23 = 90.1982994591431

x24 = -4.04948014855067

x25 = -324.49193081471

x26 = -54.3149626059874

x27 = 46.216002308886

x28 = -77.8769075079108

x29 = 69.7779472108095

x30 = 63.4947619036299

x31 = 39.9328170017064

x32 = -76.3061111811159

x33 = 54.0699839428605

x34 = 32.0788353677319

x35 = -21.3282397432945

x36 = -216.106984265862

x37 = 153.030152530939

x38 = -87.3016854686802

x39 = 83.9151141519635

x40 = -93.5848707758598

x41 = 8.5168904658085

x42 = 25.7956500605524

x43 = 82.3443178251686

x44 = -65.3105368935516

x45 = -99.8680560830394

x46 = 91.769095785938

x47 = -27.6114250504741

x48 = 79.2027251715788

x49 = -90.44327812227

x50 = 33.6496316945268

x51 = 24.2248537337575

x52 = 99.6230774199125

x53 = -55.8857589327823

x54 = 11.6584831193983

x55 = 74.4903361911942

x56 = -40.1777956648333

x57 = 85.4859104787584

x58 = -41.7485919916282

x59 = -48.0317772988078

x60 = -70.0229258739363

x61 = -79.4477038347057

x62 = 17.9416684265779

x63 = 55.6407802696554

x64 = 3.80450148542381

x65 = -10.3326654557303

x66 = -13.4742581093201

x67 = -11.9034617825252

x68 = -35.4654066844486

x69 = -85.7308891418853

x70 = 60.3531692500401

x71 = -46.4609809720129

x72 = 88.6275031323482

x73 = 41.5036133285013

x74 = 52.4991876160656

x75 = -32.3238140308588

x76 = 22.6540574069626

x77 = 38.3620206749115

x78 = -84.1600928150904

x79 = -19.7574434164996

x80 = -24.4698323968843

x81 = 44.6452059820911

x82 = 98.0522810931176

x83 = -2.47868382175578

x84 = -92.0140744490649

x85 = -5.62027647534557

x86 = 96.4814847663227

x87 = 30.5080390409371

x87 = 30.5080390409371

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Expresiones idénticas

Expresiones semejantes

2cosxsinx-4(cosx)^2+4*(sinx)^2=0 la ecuación

Solución numérica:

Solución