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La ecuación:
Ecuación ((57.6/(150-x))^0.15)*((150+x)+10)/171.712=1
Ecuación 9-4x=3x-40
Ecuación (x-4)^2-x^2=0
Ecuación 4^x-3*2^x+2=0
Expresar {x} en función de y en la ecuación:
-18*x-2*y=9
4*x+2*y=5
-9*x+1*y=3
-17*x+1*y=-11
Expresiones idénticas
dos sin^2(3x)+7cos3x- cinco = cero
2 seno de al cuadrado (3x) más 7 coseno de 3x menos 5 es igual a 0
dos seno de al cuadrado (3x) más 7 coseno de 3x menos cinco es igual a cero
2sin2(3x)+7cos3x-5=0
2sin23x+7cos3x-5=0
2sin²(3x)+7cos3x-5=0
2sin en el grado 2(3x)+7cos3x-5=0
2sin^23x+7cos3x-5=0
2sin^2(3x)+7cos3x-5=O
Expresiones semejantes
2sin^2(3x)+7cos3x+5=0
2sin^2(3x)-7cos3x-5=0

2sin^2(3x)+7cos3x-5=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

     2                          
2*sin (3*x) + 7*cos(3*x) - 5 = 0

$$\left(2 \sin^{2}{\left(3 x \right)} + 7 \cos{\left(3 x \right)}\right) - 5 = 0$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Suma y producto de raíces [src]

suma

                     /  ___\            /  ___\
                     |\/ 2 |            |\/ 2 |
            2*I*atanh|-----|   2*I*atanh|-----|
  pi   pi            \  2  /            \  2  /
- -- + -- - ---------------- + ----------------
  9    9           3                  3

$$\left(\left(- \frac{\pi}{9} + \frac{\pi}{9}\right) - \frac{2 i \operatorname{atanh}{\left(\frac{\sqrt{2}}{2} \right)}}{3}\right) + \frac{2 i \operatorname{atanh}{\left(\frac{\sqrt{2}}{2} \right)}}{3}$$

$$0$$

producto

                  /  ___\          /  ___\
                  |\/ 2 |          |\/ 2 |
        -2*I*atanh|-----| 2*I*atanh|-----|
-pi  pi           \  2  /          \  2  /
----*--*-----------------*----------------
 9   9          3                3

$$\frac{2 i \operatorname{atanh}{\left(\frac{\sqrt{2}}{2} \right)}}{3} \cdot - \frac{2 i \operatorname{atanh}{\left(\frac{\sqrt{2}}{2} \right)}}{3} \cdot - \frac{\pi}{9} \frac{\pi}{9}$$

             /  ___\
     2      2|\/ 2 |
-4*pi *atanh |-----|
             \  2  /
--------------------
        729

$$- \frac{4 \pi^{2} \operatorname{atanh}^{2}{\left(\frac{\sqrt{2}}{2} \right)}}{729}$$

-4*pi^2*atanh(sqrt(2)/2)^2/729

Respuesta rápida [src]

     -pi 
x1 = ----
      9

$$x_{1} = - \frac{\pi}{9}$$

     pi
x2 = --
     9

$$x_{2} = \frac{\pi}{9}$$

               /  ___\
               |\/ 2 |
     -2*I*atanh|-----|
               \  2  /
x3 = -----------------
             3

$$x_{3} = - \frac{2 i \operatorname{atanh}{\left(\frac{\sqrt{2}}{2} \right)}}{3}$$

              /  ___\
              |\/ 2 |
     2*I*atanh|-----|
              \  2  /
x4 = ----------------
            3

$$x_{4} = \frac{2 i \operatorname{atanh}{\left(\frac{\sqrt{2}}{2} \right)}}{3}$$

x4 = 2*i*atanh(sqrt(2)/2)/3

Respuesta numérica [src]

x1 = -79.9360797413403

x2 = 26.8780704807127

x3 = 82.0304748437335

x4 = 33.85938748869

x5 = 46.4257581030492

x6 = 49.9164166070378

x7 = -31.7649923862968

x8 = 42.2369678982628

x9 = -5.93411945678072

x10 = 54.8033385126219

x11 = -75.7472895365539

x12 = 8.02851455917392

x13 = -100.181899064475

x14 = 71.5584993317675

x15 = 100.181899064475

x16 = -87.6155284501153

x17 = -35.9537825910832

x18 = -69.4641042293743

x19 = 22.6892802759263

x20 = 18.5004900711399

x21 = -54.1052068118242

x22 = -77.8416846389471

x23 = 54.1052068118242

x24 = -89.7099235525085

x25 = 3.83972435438753

x26 = -47.8220215046446

x27 = -63.1809189221947

x28 = 56.1996019142174

x29 = -20.5948851735331

x30 = -14.3116998663535

x31 = -43.6332312998582

x32 = 90.4080552533063

x33 = -95.9931088596881

x34 = 67.3697091269811

x35 = -12.2173047639603

x36 = -91.8043186549017

x37 = 31.7649923862968

x38 = -38.0481776934764

x39 = 27.5762021815104

x40 = -1.74532925199433

x41 = 98.0875039620813

x42 = -67.3697091269811

x43 = -21.2930168743308

x44 = -52.010811709431

x45 = -16.4060949687467

x46 = -71.5584993317675

x47 = 79.9360797413403

x48 = 10.1229096615671

x49 = -8.72664625997165

x50 = 86.2192650485199

x51 = -56.1996019142174

x52 = -29.6705972839036

x53 = 58.2939970166106

x54 = -10.1229096615671

x55 = 60.3883921190038

x56 = -98.0875039620813

x57 = 35.9537825910832

x58 = 62.482787221397

x59 = -84.1248699461267

x60 = -8.02851455917392

x61 = 16.4060949687467

x62 = -82.0304748437335

x63 = 84.1248699461267

x64 = 95.9931088596881

x65 = -93.8987137572949

x66 = 20.5948851735331

x67 = 0.349065850398866

x68 = 66.6715774261834

x69 = 77.8416846389471

x70 = 44.331363000656

x71 = 73.6528944341607

x72 = -58.2939970166106

x73 = 75.7472895365539

x74 = -60.3883921190038

x75 = 38.0481776934764

x76 = -73.6528944341607

x77 = -40.1425727958696

x78 = 40.1425727958696

x79 = 64.5771823237902

x80 = -33.85938748869

x81 = 29.6705972839036

x82 = -45.7276264022514

x83 = -64.5771823237902

x84 = 93.8987137572949

x85 = -3.83972435438753

x86 = -25.4818070791172

x87 = -88.3136601509131

x88 = 52.010811709431

x89 = 88.3136601509131

x90 = 5.93411945678072

x91 = -23.387411976724

x92 = 509.287075731945

x93 = 14.3116998663535

x94 = -49.9164166070378

x95 = 47.8220215046446

x96 = -27.5762021815104

x97 = 12.2173047639603

x97 = 12.2173047639603

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Expresiones idénticas

Expresiones semejantes

2sin^2(3x)+7cos3x-5=0 la ecuación

Solución numérica:

Solución