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La ecuación:
Ecuación x^3-x^2-x-1=0
Ecuación 12-4(x-3)=39-9x
Ecuación 0,2x+2,7=1,4-1,1x
Ecuación x^2=2x+8
Expresar {x} en función de y en la ecuación:
-11*x-14*y=-3
-9*x-1*y=6
-2*x+2*y=4
-11*x-3*y=14
Expresiones idénticas
2sin^2x+3sinxcosx-5cos^2x= cero
2 seno de al cuadrado x más 3 seno de x coseno de x menos 5 coseno de al cuadrado x es igual a 0
2 seno de al cuadrado x más 3 seno de x coseno de x menos 5 coseno de al cuadrado x es igual a cero
2sin2x+3sinxcosx-5cos2x=0
2sin²x+3sinxcosx-5cos²x=0
2sin en el grado 2x+3sinxcosx-5cos en el grado 2x=0
2sin^2x+3sinxcosx-5cos^2x=O
Expresiones semejantes
2sin^2x+3sinxcosx+5cos^2x=0
2sin^2x-3sinxcosx-5cos^2x=0

2sin^2x+3sinxcosx-5cos^2x=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

     2                             2       
2*sin (x) + 3*sin(x)*cos(x) - 5*cos (x) = 0

$$\left(2 \sin^{2}{\left(x \right)} + 3 \sin{\left(x \right)} \cos{\left(x \right)}\right) - 5 \cos^{2}{\left(x \right)} = 0$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

     -3*pi
x1 = -----
       4

$$x_{1} = - \frac{3 \pi}{4}$$

     pi
x2 = --
     4

$$x_{2} = \frac{\pi}{4}$$

           /      ____\
           |2   \/ 29 |
x3 = 2*atan|- - ------|
           \5     5   /

$$x_{3} = 2 \operatorname{atan}{\left(\frac{2}{5} - \frac{\sqrt{29}}{5} \right)}$$

           /      ____\
           |2   \/ 29 |
x4 = 2*atan|- + ------|
           \5     5   /

$$x_{4} = 2 \operatorname{atan}{\left(\frac{2}{5} + \frac{\sqrt{29}}{5} \right)}$$

x4 = 2*atan(2/5 + sqrt(29)/5)

Suma y producto de raíces [src]

suma

                    /      ____\         /      ____\
  3*pi   pi         |2   \/ 29 |         |2   \/ 29 |
- ---- + -- + 2*atan|- - ------| + 2*atan|- + ------|
   4     4          \5     5   /         \5     5   /

$$\left(\left(- \frac{3 \pi}{4} + \frac{\pi}{4}\right) + 2 \operatorname{atan}{\left(\frac{2}{5} - \frac{\sqrt{29}}{5} \right)}\right) + 2 \operatorname{atan}{\left(\frac{2}{5} + \frac{\sqrt{29}}{5} \right)}$$

      /      ____\         /      ____\     
      |2   \/ 29 |         |2   \/ 29 |   pi
2*atan|- - ------| + 2*atan|- + ------| - --
      \5     5   /         \5     5   /   2

$$- \frac{\pi}{2} + 2 \operatorname{atan}{\left(\frac{2}{5} - \frac{\sqrt{29}}{5} \right)} + 2 \operatorname{atan}{\left(\frac{2}{5} + \frac{\sqrt{29}}{5} \right)}$$

producto

               /      ____\       /      ____\
-3*pi pi       |2   \/ 29 |       |2   \/ 29 |
-----*--*2*atan|- - ------|*2*atan|- + ------|
  4   4        \5     5   /       \5     5   /

$$- \frac{3 \pi}{4} \frac{\pi}{4} \cdot 2 \operatorname{atan}{\left(\frac{2}{5} - \frac{\sqrt{29}}{5} \right)} 2 \operatorname{atan}{\left(\frac{2}{5} + \frac{\sqrt{29}}{5} \right)}$$

           /      ____\     /      ____\
     2     |2   \/ 29 |     |2   \/ 29 |
-3*pi *atan|- - ------|*atan|- + ------|
           \5     5   /     \5     5   /
----------------------------------------
                   4

$$- \frac{3 \pi^{2} \operatorname{atan}{\left(\frac{2}{5} - \frac{\sqrt{29}}{5} \right)} \operatorname{atan}{\left(\frac{2}{5} + \frac{\sqrt{29}}{5} \right)}}{4}$$

-3*pi^2*atan(2/5 - sqrt(29)/5)*atan(2/5 + sqrt(29)/5)/4

Respuesta numérica [src]

x1 = -73.4469209822478

x2 = 23.9424512790358

x3 = 32.2013246992954

x4 = 66.7588438887831

x5 = -27.4889357189107

x6 = 10.2101761241668

x7 = -51.4557724071192

x8 = 61.6415631221133

x9 = -57.7389577142988

x10 = 44.7676953136546

x11 = -21.2057504117311

x12 = 45.9335998541644

x13 = 36.508821893395

x14 = 55.3583778149337

x15 = 89.9158970044215

x16 = 74.2079337364725

x17 = 8.23448801108685

x18 = 82.4668071567321

x19 = 67.9247484292929

x20 = -54.597365060709

x21 = -77.7544181763474

x22 = 88.7499924639117

x23 = 16.4933614313464

x24 = 41.6261026600648

x25 = 0.785398163397448

x26 = -46.3384916404494

x27 = -5.49778714378214

x28 = -84.037603483527

x29 = 91.8915851175014

x30 = -55.7632696012188

x31 = -71.4712328691678

x32 = -305.924777347892

x33 = -29.4646238319907

x34 = -65.1880475619882

x35 = 60.4756585816035

x36 = 3.92699081698724

x37 = -76.5885136358376

x38 = 11.3760806646766

x39 = 38.484510006475

x40 = 80.4911190436521

x41 = 52.216785161344

x42 = -90.3207887907066

x43 = -7.47347525686212

x44 = -42.0309944463498

x45 = -20.0398458712213

x46 = 98.174770424681

x47 = -92.2964769037865

x48 = -230.526553661737

x49 = -26.3230311784009

x50 = -18.0641577581413

x51 = 76.1836218495525

x52 = -40.0553063332699

x53 = -70.305328328658

x54 = 22.776546738526

x55 = 58.4999704685235

x56 = 30.2256365862154

x57 = 14.5176733182664

x58 = 86.7743043508317

x59 = -68.329640215578

x60 = -86.0132915966069

x61 = -33.7721210260903

x62 = 17.6592659718562

x63 = -64.0221430214784

x64 = -13.7566605640417

x65 = 83.6327116972419

x66 = -49.4800842940392

x67 = -87.1791961371168

x68 = -10.6150679104519

x69 = 96.1990823116011

x70 = -35.7478091391703

x71 = 25.9181393921158

x72 = -99.7455667514759

x73 = 54.1924732744239

x74 = -98.5796622109661

x75 = -24.3473430653209

x76 = 63.6172512351933

x77 = -48.3141797535294

x78 = 19.6349540849362

x79 = -79.7301062894274

x80 = -93.4623814442964

x81 = -95.4380695573763

x82 = -32.6062164855805

x83 = -43.1968989868597

x84 = 33.3672292398052

x85 = -11.7809724509617

x86 = 39.6504145469848

x87 = -62.0464549083984

x88 = 1.95130270390726

x89 = 69.9004365423729

x90 = 1235.43131102419

x91 = -2.35619449019234

x92 = 47.9092879672443

x93 = -4.33188260327232

x93 = -4.33188260327232

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Expresiones idénticas

Expresiones semejantes

2sin^2x+3sinxcosx-5cos^2x=0 la ecuación

Solución numérica:

Solución