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La ecuación:
Ecuación 6x+1=-4x
Ecuación x+y-3=0
Ecuación x^2=-3
Ecuación 9-7(x+3)=5-6x
Expresar {x} en función de y en la ecuación:
-11*x+9*y=-20
5*x-14*y=-15
-10*x+15*y=10
-9*x-6*y=12
Expresiones idénticas
tres *(cos2x)= tres *sqrt2*sinx
3 multiplicar por ( coseno de 2x) es igual a 3 multiplicar por raíz cuadrada de 2 multiplicar por seno de x
tres multiplicar por ( coseno de 2x) es igual a tres multiplicar por raíz cuadrada de 2 multiplicar por seno de x
3*(cos2x)=3*√2*sinx
3(cos2x)=3sqrt2sinx
3cos2x=3sqrt2sinx
Expresiones semejantes
sinx+sqrt3(cos(2x))=2cos3x
sin^2(x)+sin(2x)-3cos^2(x)=0
y+2y+y=senx+3cos(2x)
((-2*sin(x)-sqrt(3)*sin^(2)(x)-sqrt(3)*cos^(2)(x)))/((2+sqrt(3)*sin(x))^(2))=0
Expresiones con funciones
sinx
sinx+cosx=1/sqrt(2)
Sinx=1/7
sinx=12/4
sinx*cosx=√2/4
sinx=x^2+1

3(cos2x)=3sqrt2*sinx la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

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

3 \cos{\left(2 x \right)} = 3 \sqrt{2} \sin{\left(x \right)}

Simplificar

Solución detallada

Tenemos la ecuación

3 \cos{\left(2 x \right)} = 3 \sqrt{2} \sin{\left(x \right)}

cambiamos

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

- 6 \sin^{2}{\left(x \right)} - 3 \sqrt{2} \sin{\left(x \right)} + 3 = 0

Sustituimos

w = \sin{\left(x \right)}

Es la ecuación de la forma

a*w^2 + b*w + c = 0

La ecuación cuadrática puede ser resuelta
con la ayuda del discriminante.
Las raíces de la ecuación cuadrática:

w_{1} = \frac{\sqrt{D} - b}{2 a}

w_{2} = \frac{- \sqrt{D} - b}{2 a}

donde D = b^2 - 4*a*c es el discriminante.
Como

a = -6

b = - 3 \sqrt{2}

c = 3

, entonces

D = b^2 - 4 * a * c =

(-3*sqrt(2))^2 - 4 * (-6) * (3) = 90

Como D > 0 la ecuación tiene dos raíces.

w1 = (-b + sqrt(D)) / (2*a)

w2 = (-b - sqrt(D)) / (2*a)

w_{1} = - \frac{\sqrt{10}}{4} - \frac{\sqrt{2}}{4}

w_{2} = - \frac{\sqrt{2}}{4} + \frac{\sqrt{10}}{4}

hacemos cambio inverso

\sin{\left(x \right)} = w

Tenemos la ecuación

\sin{\left(x \right)} = w

es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en

x = 2 \pi n + \operatorname{asin}{\left(w \right)}

x = 2 \pi n - \operatorname{asin}{\left(w \right)} + \pi

x = 2 \pi n + \operatorname{asin}{\left(w \right)}

x = 2 \pi n - \operatorname{asin}{\left(w \right)} + \pi

, donde n es cualquier número entero
sustituimos w:

x_{1} = 2 \pi n + \operatorname{asin}{\left(w_{1} \right)}

x_{1} = 2 \pi n + \operatorname{asin}{\left(- \frac{\sqrt{10}}{4} - \frac{\sqrt{2}}{4} \right)}

x_{1} = 2 \pi n - \operatorname{asin}{\left(\frac{\sqrt{2}}{4} + \frac{\sqrt{10}}{4} \right)}

x_{2} = 2 \pi n + \operatorname{asin}{\left(w_{2} \right)}

x_{2} = 2 \pi n + \operatorname{asin}{\left(- \frac{\sqrt{2}}{4} + \frac{\sqrt{10}}{4} \right)}

x_{2} = 2 \pi n + \operatorname{asin}{\left(- \frac{\sqrt{2}}{4} + \frac{\sqrt{10}}{4} \right)}

x_{3} = 2 \pi n - \operatorname{asin}{\left(w_{1} \right)} + \pi

x_{3} = 2 \pi n + \pi - \operatorname{asin}{\left(- \frac{\sqrt{10}}{4} - \frac{\sqrt{2}}{4} \right)}

x_{3} = 2 \pi n + \pi + \operatorname{asin}{\left(\frac{\sqrt{2}}{4} + \frac{\sqrt{10}}{4} \right)}

x_{4} = 2 \pi n - \operatorname{asin}{\left(w_{2} \right)} + \pi

x_{4} = 2 \pi n - \operatorname{asin}{\left(- \frac{\sqrt{2}}{4} + \frac{\sqrt{10}}{4} \right)} + \pi

x_{4} = 2 \pi n - \operatorname{asin}{\left(- \frac{\sqrt{2}}{4} + \frac{\sqrt{10}}{4} \right)} + \pi

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

                 /      __________________________________________________________________________________________________________________________________________________\
                 |     /                      ____________             ____________        ___________    ____________              ___________               ___________ |
                 |    /        ___     ___   /        ___      ____   /        ___        /       ___    /        ___        ___   /       ___        ____   /       ___  |
       pi        |   /   3   \/ 5    \/ 2 *\/  -1 + \/ 5     \/ 10 *\/  -1 + \/ 5     I*\/  1 - \/ 5  *\/  -1 + \/ 5     I*\/ 2 *\/  1 - \/ 5     I*\/ 10 *\/  1 - \/ 5   |
x1 = - -- - I*log|  /    - + ----- + --------------------- + ---------------------- - -------------------------------- - ---------------------- - ----------------------- |
       2         \\/     4     4               8                       8                             4                             8                         8            /

x_{1} = - \frac{\pi}{2} - i \log{\left(\sqrt{\frac{\sqrt{2} \sqrt{-1 + \sqrt{5}}}{8} - \frac{\sqrt{2} i \sqrt{1 - \sqrt{5}}}{8} - \frac{i \sqrt{-1 + \sqrt{5}} \sqrt{1 - \sqrt{5}}}{4} + \frac{\sqrt{10} \sqrt{-1 + \sqrt{5}}}{8} - \frac{\sqrt{10} i \sqrt{1 - \sqrt{5}}}{8} + \frac{\sqrt{5}}{4} + \frac{3}{4}} \right)}

                 /      __________________________________________________________________________________________________________________________________________________\
                 |     /                      ____________             ____________        ___________    ____________              ___________               ___________ |
                 |    /        ___     ___   /        ___      ____   /        ___        /       ___    /        ___        ___   /       ___        ____   /       ___  |
       pi        |   /   3   \/ 5    \/ 2 *\/  -1 + \/ 5     \/ 10 *\/  -1 + \/ 5     I*\/  1 - \/ 5  *\/  -1 + \/ 5     I*\/ 2 *\/  1 - \/ 5     I*\/ 10 *\/  1 - \/ 5   |
x2 = - -- - I*log|  /    - + ----- - --------------------- - ---------------------- - -------------------------------- + ---------------------- + ----------------------- |
       2         \\/     4     4               8                       8                             4                             8                         8            /

x_{2} = - \frac{\pi}{2} - i \log{\left(\sqrt{- \frac{\sqrt{10} \sqrt{-1 + \sqrt{5}}}{8} + \frac{\sqrt{10} i \sqrt{1 - \sqrt{5}}}{8} - \frac{\sqrt{2} \sqrt{-1 + \sqrt{5}}}{8} + \frac{\sqrt{2} i \sqrt{1 - \sqrt{5}}}{8} - \frac{i \sqrt{-1 + \sqrt{5}} \sqrt{1 - \sqrt{5}}}{4} + \frac{\sqrt{5}}{4} + \frac{3}{4}} \right)}

           /     ___________                     \
           |    /       ___      /  ____     ___\|
           |  \/  1 + \/ 5     I*\\/ 10  - \/ 2 /|
x3 = -I*log|- -------------- + ------------------|
           \        2                  4         /

x_{3} = - i \log{\left(- \frac{\sqrt{1 + \sqrt{5}}}{2} + \frac{i \left(- \sqrt{2} + \sqrt{10}\right)}{4} \right)}

           /   ___________                     \
           |  /       ___      /  ____     ___\|
           |\/  1 + \/ 5     I*\\/ 10  - \/ 2 /|
x4 = -I*log|-------------- + ------------------|
           \      2                  4         /

x_{4} = - i \log{\left(\frac{\sqrt{1 + \sqrt{5}}}{2} + \frac{i \left(- \sqrt{2} + \sqrt{10}\right)}{4} \right)}

x4 = -i*log(sqrt(1 + sqrt(5))/2 + i*(-sqrt(2) + sqrt(10))/4)

Suma y producto de raíces [src]

suma

            /      __________________________________________________________________________________________________________________________________________________\               /      __________________________________________________________________________________________________________________________________________________\                                                                                            
            |     /                      ____________             ____________        ___________    ____________              ___________               ___________ |               |     /                      ____________             ____________        ___________    ____________              ___________               ___________ |        /     ___________                     \        /   ___________                     \
            |    /        ___     ___   /        ___      ____   /        ___        /       ___    /        ___        ___   /       ___        ____   /       ___  |               |    /        ___     ___   /        ___      ____   /        ___        /       ___    /        ___        ___   /       ___        ____   /       ___  |        |    /       ___      /  ____     ___\|        |  /       ___      /  ____     ___\|
  pi        |   /   3   \/ 5    \/ 2 *\/  -1 + \/ 5     \/ 10 *\/  -1 + \/ 5     I*\/  1 - \/ 5  *\/  -1 + \/ 5     I*\/ 2 *\/  1 - \/ 5     I*\/ 10 *\/  1 - \/ 5   |     pi        |   /   3   \/ 5    \/ 2 *\/  -1 + \/ 5     \/ 10 *\/  -1 + \/ 5     I*\/  1 - \/ 5  *\/  -1 + \/ 5     I*\/ 2 *\/  1 - \/ 5     I*\/ 10 *\/  1 - \/ 5   |        |  \/  1 + \/ 5     I*\\/ 10  - \/ 2 /|        |\/  1 + \/ 5     I*\\/ 10  - \/ 2 /|
- -- - I*log|  /    - + ----- + --------------------- + ---------------------- - -------------------------------- - ---------------------- - ----------------------- | + - -- - I*log|  /    - + ----- - --------------------- - ---------------------- - -------------------------------- + ---------------------- + ----------------------- | - I*log|- -------------- + ------------------| - I*log|-------------- + ------------------|
  2         \\/     4     4               8                       8                             4                             8                         8            /     2         \\/     4     4               8                       8                             4                             8                         8            /        \        2                  4         /        \      2                  4         /

- i \log{\left(\frac{\sqrt{1 + \sqrt{5}}}{2} + \frac{i \left(- \sqrt{2} + \sqrt{10}\right)}{4} \right)} + \left(- i \log{\left(- \frac{\sqrt{1 + \sqrt{5}}}{2} + \frac{i \left(- \sqrt{2} + \sqrt{10}\right)}{4} \right)} + \left(\left(- \frac{\pi}{2} - i \log{\left(\sqrt{\frac{\sqrt{2} \sqrt{-1 + \sqrt{5}}}{8} - \frac{\sqrt{2} i \sqrt{1 - \sqrt{5}}}{8} - \frac{i \sqrt{-1 + \sqrt{5}} \sqrt{1 - \sqrt{5}}}{4} + \frac{\sqrt{10} \sqrt{-1 + \sqrt{5}}}{8} - \frac{\sqrt{10} i \sqrt{1 - \sqrt{5}}}{8} + \frac{\sqrt{5}}{4} + \frac{3}{4}} \right)}\right) + \left(- \frac{\pi}{2} - i \log{\left(\sqrt{- \frac{\sqrt{10} \sqrt{-1 + \sqrt{5}}}{8} + \frac{\sqrt{10} i \sqrt{1 - \sqrt{5}}}{8} - \frac{\sqrt{2} \sqrt{-1 + \sqrt{5}}}{8} + \frac{\sqrt{2} i \sqrt{1 - \sqrt{5}}}{8} - \frac{i \sqrt{-1 + \sqrt{5}} \sqrt{1 - \sqrt{5}}}{4} + \frac{\sqrt{5}}{4} + \frac{3}{4}} \right)}\right)\right)\right)

           /      __________________________________________________________________________________________________________________________________________________\        /      __________________________________________________________________________________________________________________________________________________\                                                                                            
           |     /                      ____________             ____________        ___________    ____________              ___________               ___________ |        |     /                      ____________             ____________        ___________    ____________              ___________               ___________ |        /   ___________                     \        /     ___________                     \
           |    /        ___     ___   /        ___      ____   /        ___        /       ___    /        ___        ___   /       ___        ____   /       ___  |        |    /        ___     ___   /        ___      ____   /        ___        /       ___    /        ___        ___   /       ___        ____   /       ___  |        |  /       ___      /  ____     ___\|        |    /       ___      /  ____     ___\|
           |   /   3   \/ 5    \/ 2 *\/  -1 + \/ 5     \/ 10 *\/  -1 + \/ 5     I*\/  1 - \/ 5  *\/  -1 + \/ 5     I*\/ 2 *\/  1 - \/ 5     I*\/ 10 *\/  1 - \/ 5   |        |   /   3   \/ 5    \/ 2 *\/  -1 + \/ 5     \/ 10 *\/  -1 + \/ 5     I*\/  1 - \/ 5  *\/  -1 + \/ 5     I*\/ 2 *\/  1 - \/ 5     I*\/ 10 *\/  1 - \/ 5   |        |\/  1 + \/ 5     I*\\/ 10  - \/ 2 /|        |  \/  1 + \/ 5     I*\\/ 10  - \/ 2 /|
-pi - I*log|  /    - + ----- - --------------------- - ---------------------- - -------------------------------- + ---------------------- + ----------------------- | - I*log|  /    - + ----- + --------------------- + ---------------------- - -------------------------------- - ---------------------- - ----------------------- | - I*log|-------------- + ------------------| - I*log|- -------------- + ------------------|
           \\/     4     4               8                       8                             4                             8                         8            /        \\/     4     4               8                       8                             4                             8                         8            /        \      2                  4         /        \        2                  4         /

- \pi - i \log{\left(\frac{\sqrt{1 + \sqrt{5}}}{2} + \frac{i \left(- \sqrt{2} + \sqrt{10}\right)}{4} \right)} - i \log{\left(- \frac{\sqrt{1 + \sqrt{5}}}{2} + \frac{i \left(- \sqrt{2} + \sqrt{10}\right)}{4} \right)} - i \log{\left(\sqrt{\frac{\sqrt{2} \sqrt{-1 + \sqrt{5}}}{8} - \frac{\sqrt{2} i \sqrt{1 - \sqrt{5}}}{8} - \frac{i \sqrt{-1 + \sqrt{5}} \sqrt{1 - \sqrt{5}}}{4} + \frac{\sqrt{10} \sqrt{-1 + \sqrt{5}}}{8} - \frac{\sqrt{10} i \sqrt{1 - \sqrt{5}}}{8} + \frac{\sqrt{5}}{4} + \frac{3}{4}} \right)} - i \log{\left(\sqrt{- \frac{\sqrt{10} \sqrt{-1 + \sqrt{5}}}{8} + \frac{\sqrt{10} i \sqrt{1 - \sqrt{5}}}{8} - \frac{\sqrt{2} \sqrt{-1 + \sqrt{5}}}{8} + \frac{\sqrt{2} i \sqrt{1 - \sqrt{5}}}{8} - \frac{i \sqrt{-1 + \sqrt{5}} \sqrt{1 - \sqrt{5}}}{4} + \frac{\sqrt{5}}{4} + \frac{3}{4}} \right)}

producto

/            /      __________________________________________________________________________________________________________________________________________________\\ /            /      __________________________________________________________________________________________________________________________________________________\\                                                                                              
|            |     /                      ____________             ____________        ___________    ____________              ___________               ___________ || |            |     /                      ____________             ____________        ___________    ____________              ___________               ___________ || /      /     ___________                     \\ /      /   ___________                     \\
|            |    /        ___     ___   /        ___      ____   /        ___        /       ___    /        ___        ___   /       ___        ____   /       ___  || |            |    /        ___     ___   /        ___      ____   /        ___        /       ___    /        ___        ___   /       ___        ____   /       ___  || |      |    /       ___      /  ____     ___\|| |      |  /       ___      /  ____     ___\||
|  pi        |   /   3   \/ 5    \/ 2 *\/  -1 + \/ 5     \/ 10 *\/  -1 + \/ 5     I*\/  1 - \/ 5  *\/  -1 + \/ 5     I*\/ 2 *\/  1 - \/ 5     I*\/ 10 *\/  1 - \/ 5   || |  pi        |   /   3   \/ 5    \/ 2 *\/  -1 + \/ 5     \/ 10 *\/  -1 + \/ 5     I*\/  1 - \/ 5  *\/  -1 + \/ 5     I*\/ 2 *\/  1 - \/ 5     I*\/ 10 *\/  1 - \/ 5   || |      |  \/  1 + \/ 5     I*\\/ 10  - \/ 2 /|| |      |\/  1 + \/ 5     I*\\/ 10  - \/ 2 /||
|- -- - I*log|  /    - + ----- + --------------------- + ---------------------- - -------------------------------- - ---------------------- - ----------------------- ||*|- -- - I*log|  /    - + ----- - --------------------- - ---------------------- - -------------------------------- + ---------------------- + ----------------------- ||*|-I*log|- -------------- + ------------------||*|-I*log|-------------- + ------------------||
\  2         \\/     4     4               8                       8                             4                             8                         8            // \  2         \\/     4     4               8                       8                             4                             8                         8            // \      \        2                  4         // \      \      2                  4         //

- i \log{\left(\frac{\sqrt{1 + \sqrt{5}}}{2} + \frac{i \left(- \sqrt{2} + \sqrt{10}\right)}{4} \right)} - i \log{\left(- \frac{\sqrt{1 + \sqrt{5}}}{2} + \frac{i \left(- \sqrt{2} + \sqrt{10}\right)}{4} \right)} \left(- \frac{\pi}{2} - i \log{\left(\sqrt{- \frac{\sqrt{10} \sqrt{-1 + \sqrt{5}}}{8} + \frac{\sqrt{10} i \sqrt{1 - \sqrt{5}}}{8} - \frac{\sqrt{2} \sqrt{-1 + \sqrt{5}}}{8} + \frac{\sqrt{2} i \sqrt{1 - \sqrt{5}}}{8} - \frac{i \sqrt{-1 + \sqrt{5}} \sqrt{1 - \sqrt{5}}}{4} + \frac{\sqrt{5}}{4} + \frac{3}{4}} \right)}\right) \left(- \frac{\pi}{2} - i \log{\left(\sqrt{\frac{\sqrt{2} \sqrt{-1 + \sqrt{5}}}{8} - \frac{\sqrt{2} i \sqrt{1 - \sqrt{5}}}{8} - \frac{i \sqrt{-1 + \sqrt{5}} \sqrt{1 - \sqrt{5}}}{4} + \frac{\sqrt{10} \sqrt{-1 + \sqrt{5}}}{8} - \frac{\sqrt{10} i \sqrt{1 - \sqrt{5}}}{8} + \frac{\sqrt{5}}{4} + \frac{3}{4}} \right)}\right)

 /          /                     ____________             ____________              ___________               ___________\\ /          /                     ____________             ____________              ___________               ___________\\    /   ___________                     \    /     ___________                     \ 
 |          |      ___     ___   /        ___      ____   /        ___        ___   /       ___        ____   /       ___ || |          |      ___     ___   /        ___      ____   /        ___        ___   /       ___        ____   /       ___ ||    |  /       ___      /  ____     ___\|    |    /       ___      /  ____     ___\| 
 |          |1   \/ 5    \/ 2 *\/  -1 + \/ 5     \/ 10 *\/  -1 + \/ 5     I*\/ 2 *\/  1 - \/ 5     I*\/ 10 *\/  1 - \/ 5  || |          |1   \/ 5    \/ 2 *\/  -1 + \/ 5     \/ 10 *\/  -1 + \/ 5     I*\/ 2 *\/  1 - \/ 5     I*\/ 10 *\/  1 - \/ 5  ||    |\/  1 + \/ 5     I*\\/ 10  - \/ 2 /|    |  \/  1 + \/ 5     I*\\/ 10  - \/ 2 /| 
-|pi + I*log|- + ----- - --------------------- - ---------------------- + ---------------------- + -----------------------||*|pi + I*log|- + ----- + --------------------- + ---------------------- - ---------------------- - -----------------------||*log|-------------- + ------------------|*log|- -------------- + ------------------| 
 \          \2     2               8                       8                        8                         8           // \          \2     2               8                       8                        8                         8           //    \      2                  4         /    \        2                  4         / 
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                      4

- \frac{\left(\pi + i \log{\left(- \frac{\sqrt{10} \sqrt{-1 + \sqrt{5}}}{8} + \frac{\sqrt{10} i \sqrt{1 - \sqrt{5}}}{8} - \frac{\sqrt{2} \sqrt{-1 + \sqrt{5}}}{8} + \frac{\sqrt{2} i \sqrt{1 - \sqrt{5}}}{8} + \frac{1}{2} + \frac{\sqrt{5}}{2} \right)}\right) \left(\pi + i \log{\left(\frac{\sqrt{2} \sqrt{-1 + \sqrt{5}}}{8} - \frac{\sqrt{2} i \sqrt{1 - \sqrt{5}}}{8} + \frac{\sqrt{10} \sqrt{-1 + \sqrt{5}}}{8} - \frac{\sqrt{10} i \sqrt{1 - \sqrt{5}}}{8} + \frac{1}{2} + \frac{\sqrt{5}}{2} \right)}\right) \log{\left(- \frac{\sqrt{1 + \sqrt{5}}}{2} + \frac{i \left(- \sqrt{2} + \sqrt{10}\right)}{4} \right)} \log{\left(\frac{\sqrt{1 + \sqrt{5}}}{2} + \frac{i \left(- \sqrt{2} + \sqrt{10}\right)}{4} \right)}}{4}

-(pi + i*log(1/2 + sqrt(5)/2 - sqrt(2)*sqrt(-1 + sqrt(5))/8 - sqrt(10)*sqrt(-1 + sqrt(5))/8 + i*sqrt(2)*sqrt(1 - sqrt(5))/8 + i*sqrt(10)*sqrt(1 - sqrt(5))/8))*(pi + i*log(1/2 + sqrt(5)/2 + sqrt(2)*sqrt(-1 + sqrt(5))/8 + sqrt(10)*sqrt(-1 + sqrt(5))/8 - i*sqrt(2)*sqrt(1 - sqrt(5))/8 - i*sqrt(10)*sqrt(1 - sqrt(5))/8))*log(sqrt(1 + sqrt(5))/2 + i*(sqrt(10) - sqrt(2))/4)*log(-sqrt(1 + sqrt(5))/2 + i*(sqrt(10) - sqrt(2))/4)/4

Respuesta numérica [src]

x1 = 40.3884260495161

x2 = -3.59387110074098

x3 = -37.2468333959263

x4 = -43.5300187031059

x5 = 90.6539085069528

x6 = 63.2841315189471

x7 = -87.512315853363

x8 = 25.5850196758695

x9 = -35.0097976366389

x10 = 46.6716113566957

x11 = 8.97249951361819

x12 = -97.8416507084348

x13 = -100.078686467722

x14 = -66.4257241725368

x15 = 27.8220554351569

x16 = -81.2291305461834

x17 = 71.8043525854141

x18 = -12.114092167208

x19 = 21.5388701279774

x20 = 38.1513902902287

x21 = -47.5761682509981

x22 = 82.1336874404858

x23 = -22.4434270222797

x24 = 69.5673168261266

x25 = -30.9636480887467

x26 = 1125.1424484323

x27 = -85.2752800940756

x28 = 662.423771460295

x29 = 34.1052407423365

x30 = 88.4168727476654

x31 = 50.7177609045878

x32 = -56.0963893174651

x33 = 59.2379819710549

x34 = 52.9547966638753

x35 = 2.6893142064386

x36 = -91.5584654012552

x37 = 31.8682049830491

x38 = -18.3972774743876

x39 = 84.3707231997732

x40 = 94.700058054845

x41 = 75.8505021333062

x42 = -49.8132040102855

x43 = 1108.52992827005

x44 = -16.1602417151002

x45 = -78.992094786896

x46 = -53.8593535581777

x47 = -74.9459452390038

x48 = 0.452278447151191

x49 = -60.1425388653573

x50 = -41.2929829438185

x51 = 44.4345755974083

x52 = -62.3795746246447

x53 = 65.5211672782345

x54 = -9.87705640792057

x55 = 785.850441844599

x56 = 78.0875378925936

x57 = 13.0186490615104

x58 = -5.8309068600284

x59 = 6.73546375433078

x60 = 19.3018343686899

x61 = -68.6627599318243

x62 = -93.7955011605426

x63 = 50.7177609045879

x64 = -24.6804627815672

x65 = 207.797393584078

x66 = 96.9370938141324

x66 = 96.9370938141324

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Expresiones con funciones

3*(cos2x)=3*sqrt2*sinx la ecuación

Solución numérica:

Solución

3(cos2x)=3sqrt2*sinx la ecuación