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La ecuación:
Ecuación x^2+5x=36
Ecuación 3*x=8
Ecuación 9-7(x+3)=5-6x
Ecuación 4x-5=3+2(x+1)
Expresar {x} en función de y en la ecuación:
-17*x+2*y=9
10*x-15*y=16
-17*x+2*y=-4
-2*x-19*y=3
Expresiones idénticas
4sin^2x-2sinxcosx= tres
4 seno de al cuadrado x menos 2 seno de x coseno de x es igual a 3
4 seno de al cuadrado x menos 2 seno de x coseno de x es igual a tres
4sin2x-2sinxcosx=3
4sin²x-2sinxcosx=3
4sin en el grado 2x-2sinxcosx=3
Expresiones semejantes
4sin^2x+2sinxcosx=3

4sin^2x-2sinxcosx=3 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

     2                         
4*sin (x) - 2*sin(x)*cos(x) = 3

$$4 \sin^{2}{\left(x \right)} - 2 \sin{\left(x \right)} \cos{\left(x \right)} = 3$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

     -pi 
x1 = ----
      4

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

     3*pi
x2 = ----
      4

$$x_{2} = \frac{3 \pi}{4}$$

            /      ____\
            |1   \/ 10 |
x3 = -2*atan|- - ------|
            \3     3   /

$$x_{3} = - 2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)}$$

            /      ____\
            |1   \/ 10 |
x4 = -2*atan|- + ------|
            \3     3   /

$$x_{4} = - 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}$$

x4 = -2*atan(1/3 + sqrt(10)/3)

Suma y producto de raíces [src]

suma

                    /      ____\         /      ____\
  pi   3*pi         |1   \/ 10 |         |1   \/ 10 |
- -- + ---- - 2*atan|- - ------| - 2*atan|- + ------|
  4     4           \3     3   /         \3     3   /

$$- 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)} + \left(- 2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} + \left(- \frac{\pi}{4} + \frac{3 \pi}{4}\right)\right)$$

           /      ____\         /      ____\
pi         |1   \/ 10 |         |1   \/ 10 |
-- - 2*atan|- - ------| - 2*atan|- + ------|
2          \3     3   /         \3     3   /

$$- 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)} - 2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} + \frac{\pi}{2}$$

producto

                 /      ____\        /      ____\
-pi  3*pi        |1   \/ 10 |        |1   \/ 10 |
----*----*-2*atan|- - ------|*-2*atan|- + ------|
 4    4          \3     3   /        \3     3   /

$$- \frac{\pi}{4} \frac{3 \pi}{4} \left(- 2 \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)}\right) \left(- 2 \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}\right)$$

           /      ____\     /      ____\
     2     |1   \/ 10 |     |1   \/ 10 |
-3*pi *atan|- - ------|*atan|- + ------|
           \3     3   /     \3     3   /
----------------------------------------
                   4

$$- \frac{3 \pi^{2} \operatorname{atan}{\left(\frac{1}{3} - \frac{\sqrt{10}}{3} \right)} \operatorname{atan}{\left(\frac{1}{3} + \frac{\sqrt{10}}{3} \right)}}{4}$$

-3*pi^2*atan(1/3 - sqrt(10)/3)*atan(1/3 + sqrt(10)/3)/4

Respuesta numérica [src]

x1 = 54.6561208834247

x2 = -41.6261026600648

x3 = -99.2819191424751

x4 = -74.1491779137568

x5 = 18.0641577581413

x6 = -45.8748440314486

x7 = 40.0553063332699

x8 = -47.9092879672443

x9 = 4.39063842598805

x10 = 57.7977135370145

x11 = 96.6039740978861

x12 = 76.6472694585533

x13 = 13.8154163867574

x14 = -16.4933614313464

x15 = -3.92699081698724

x16 = -39.5916587242691

x17 = -8.17573218837112

x18 = -1.89254688119154

x19 = -63.6172512351933

x20 = 55.7632696012188

x21 = 48.3729355762452

x22 = 93.4623814442964

x23 = -10.2101761241668

x24 = 71.4712328691678

x25 = -66.7588438887831

x26 = -17.6005101491405

x27 = -52.1580293386282

x28 = -85.6083998103219

x29 = 33.7721210260903

x30 = -32.2013246992954

x31 = -82.4668071567321

x32 = 2.35619449019234

x33 = 92.3552327265023

x34 = -61.5828072993976

x35 = 10.6738237331676

x36 = -98.174770424681

x37 = 46.3384916404494

x38 = -0.785398163397448

x39 = 5.49778714378214

x40 = 99.7455667514759

x41 = 35.806564961886

x42 = 121.736715326604

x43 = 86.0720474193227

x44 = -91.8915851175014

x45 = -55.299621992218

x46 = 79.7888621121431

x47 = 855.762247548822

x48 = -19.6349540849362

x49 = -60.4756585816035

x50 = 27.4889357189107

x51 = -33.3084734170895

x52 = 84.037603483527

x53 = 64.0808988441941

x54 = -76.1836218495525

x55 = 42.0897502690656

x56 = -77.2907705673466

x57 = -38.484510006475

x58 = -89.8571411817058

x59 = -14.4589174955507

x60 = 68.329640215578

x61 = 70.3640841513737

x62 = 62.0464549083984

x63 = -25.9181393921158

x64 = -67.8659926065772

x65 = 20.098601693937

x66 = 1141.64717902549

x67 = 90.3207887907066

x68 = 11.7809724509617

x69 = 98.6384180336818

x70 = 74.6128255227576

x71 = -54.1924732744239

x72 = -30.1668807634997

x73 = -11.3173248419609

x74 = 26.3817870011166

x75 = -242.688032489812

x76 = -83.5739558745262

x77 = -69.9004365423729

x78 = 49.4800842940392

x79 = -23.8836954563201

x80 = 24.3473430653209

x81 = -96.1403264888853

x82 = 32.6649723082962

x83 = -95.0331777710912

x84 = 77.7544181763474

x84 = 77.7544181763474

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Expresiones idénticas

Expresiones semejantes

4sin^2x-2sinxcosx=3 la ecuación

Solución numérica:

Solución