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La ecuación:
Ecuación 3^x=7
Ecuación x+y-4=0
Ecuación z^2+z+1=0
Ecuación 8*x=2
Expresar {x} en función de y en la ecuación:
-17*x-15*y=-17
12*x-20*y=10
-20*x-13*y=15
7*x-6*y=-10
Expresiones idénticas
tg2x(uno /cos^2x- tres -tgx)= cero
tg2x(1 dividir por coseno de al cuadrado x menos 3 menos tgx) es igual a 0
tg2x(uno dividir por coseno de al cuadrado x menos tres menos tgx) es igual a cero
tg2x(1/cos2x-3-tgx)=0
tg2x1/cos2x-3-tgx=0
tg2x(1/cos²x-3-tgx)=0
tg2x(1/cos en el grado 2x-3-tgx)=0
tg2x1/cos^2x-3-tgx=0
tg2x(1/cos^2x-3-tgx)=O
tg2x(1 dividir por cos^2x-3-tgx)=0
Expresiones semejantes
tg2x(1/cos^2x+3-tgx)=0
tg2x(1/cos^2x-3+tgx)=0
Expresiones con funciones
Coseno cos
cos(3*x+pi/4)=1
cos(x^2)=1
cos(x)=1
cos^2(x)=-1
cos(x)=x+pi/2

tg2x(1/cos^2x-3-tgx)=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

         /   1                \    
tan(2*x)*|------- - 3 - tan(x)| = 0
         |   2                |    
         \cos (x)             /

$$\left(\left(-3 + \frac{1}{\cos^{2}{\left(x \right)}}\right) - \tan{\left(x \right)}\right) \tan{\left(2 x \right)} = 0$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Suma y producto de raíces [src]

suma

             /log(5)      /  ___\\               /log(5)      /  ___\\                  /    5/2\
pi + -pi + I*|------ - log\\/ 5 /| + atan(2) + I*|------ - log\\/ 5 /| + atan(2) - I*log\(-I)   /
             \  2                /               \  2                /

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

                 /    5/2\       /log(5)      /  ___\\
2*atan(2) - I*log\(-I)   / + 2*I*|------ - log\\/ 5 /|
                                 \  2                /

$$2 \operatorname{atan}{\left(2 \right)} - i \log{\left(\left(- i\right)^{\frac{5}{2}} \right)} + 2 i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)$$

producto

     /        /log(5)      /  ___\\          \ /  /log(5)      /  ___\\          \ /      /    5/2\\
0*pi*|-pi + I*|------ - log\\/ 5 /| + atan(2)|*|I*|------ - log\\/ 5 /| + atan(2)|*\-I*log\(-I)   //
     \        \  2                /          / \  \  2                /          /

$$- i \log{\left(\left(- i\right)^{\frac{5}{2}} \right)} 0 \pi \left(- \pi + \operatorname{atan}{\left(2 \right)} + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)\right) \left(\operatorname{atan}{\left(2 \right)} + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)\right)$$

$$0$$

Respuesta rápida [src]

x1 = 0

$$x_{1} = 0$$

x2 = pi

$$x_{2} = \pi$$

             /log(5)      /  ___\\          
x3 = -pi + I*|------ - log\\/ 5 /| + atan(2)
             \  2                /

$$x_{3} = - \pi + \operatorname{atan}{\left(2 \right)} + i \left(- \log{\left(\sqrt{5} \right)} + \frac{\log{\left(5 \right)}}{2}\right)$$

       /log(5)      /  ___\\          
x4 = I*|------ - log\\/ 5 /| + atan(2)
       \  2                /

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

           /    5/2\
x5 = -I*log\(-I)   /

$$x_{5} = - i \log{\left(\left(- i\right)^{\frac{5}{2}} \right)}$$

x5 = -i*log((-i)^(5/2))

Respuesta numérica [src]

x1 = 12.5663706143592

x2 = 78.5398163397448

x3 = 70.2221870967695

x4 = -65.9734457253857

x5 = -15.707963267949

x6 = -34.5575191894877

x7 = -69.1150383789755

x8 = 50.2654824574367

x9 = 81.6814089933346

x10 = 3.14159265358979

x11 = -56.5486677646163

x12 = -25.1327412287183

x13 = -46.0167410860528

x14 = -100.530964914873

x15 = -91.106186954104

x16 = 18.8495559215388

x17 = -75.398223686155

x18 = 56.5486677646163

x19 = 75.398223686155

x20 = -24.0255925109243

x21 = -17.7424072037447

x22 = 15.707963267949

x23 = -83.7158529291303

x24 = -59.6902604182061

x25 = 21.9911485751286

x26 = 6.28318530717959

x27 = 69.1150383789755

x28 = 62.8318530717959

x29 = -30.3087778181038

x30 = -87.9645943005142

x31 = 9.42477796076938

x32 = -18.8495559215388

x33 = -28.2743338823081

x34 = -9.42477796076938

x35 = -39.7335557788732

x36 = 59.6902604182061

x37 = 28.2743338823081

x38 = -47.1238898038469

x39 = -3.14159265358979

x40 = 31.4159265358979

x41 = 94.2477796076938

x42 = -72.2566310325652

x43 = -84.8230016469244

x44 = 53.4070751110265

x45 = -97.3893722612836

x46 = -52.2999263932324

x47 = 37.6991118430775

x48 = -50.2654824574367

x49 = -94.2477796076938

x50 = -2.0344439357957

x51 = -40.8407044966673

x52 = -37.6991118430775

x53 = 19.9567046393328

x54 = 47.1238898038469

x55 = 91.106186954104

x56 = 41.9478532144614

x57 = 48.231038521641

x58 = -12.5663706143592

x59 = -81.6814089933346

x60 = 43.9822971502571

x61 = -78.5398163397448

x62 = -96.2822235434895

x63 = 97.3893722612836

x64 = 92.2133356718981

x65 = -31.4159265358979

x66 = 0.0

x67 = -61.7247043540018

x68 = -68.0078896611814

x69 = -21.9911485751286

x70 = 4.24874137138388

x71 = 100.530964914873

x72 = 34.5575191894877

x73 = 65.9734457253857

x74 = -62.8318530717959

x75 = -53.4070751110265

x76 = 40.8407044966673

x77 = -6.28318530717959

x78 = 25.1327412287183

x79 = 85.9301503647185

x80 = 26.2398899465124

x81 = -43.9822971502571

x82 = 63.93900178959

x83 = 84.8230016469244

x84 = 72.2566310325652

x85 = -89.9990382363099

x86 = -74.2910749683609

x87 = 87.9645943005142

x87 = 87.9645943005142

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Expresiones idénticas

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Expresiones con funciones

tg2x(1/cos^2x-3-tgx)=0 la ecuación

Solución numérica:

Solución