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La ecuación:
Ecuación 3*x^2-x+2=0
Ecuación x^2=-74
Ecuación z^2+z+1=0
Ecuación 90+x-4*10=60
Expresar {x} en función de y en la ecuación:
9*x+14*y=-10
-4*x-8*y=-20
-12*x-10*y=-16
10*x-15*y=16
Expresiones idénticas
z=ctg^ dos *(tres *x+ cinco *y)-e^(x*y)
z es igual a ctg al cuadrado multiplicar por (3 multiplicar por x más 5 multiplicar por y) menos e en el grado (x multiplicar por y)
z es igual a ctg en el grado dos multiplicar por (tres multiplicar por x más cinco multiplicar por y) menos e en el grado (x multiplicar por y)
z=ctg2*(3*x+5*y)-e(x*y)
z=ctg2*3*x+5*y-ex*y
z=ctg²*(3*x+5*y)-e^(x*y)
z=ctg en el grado 2*(3*x+5*y)-e en el grado (x*y)
z=ctg^2(3x+5y)-e^(xy)
z=ctg2(3x+5y)-e(xy)
z=ctg23x+5y-exy
z=ctg^23x+5y-e^xy
Expresiones semejantes
z=ctg^2*(3*x+5*y)+e^(x*y)
z=ctg^2*(3*x-5*y)-e^(x*y)
Expresiones con funciones
ctg
ctg(x)=(3^1/3)/3
ctgu=8
Ctg(x)+1=0
ctg(-x\2)=1
ctg(-x)=1

z=ctg^2(3x+5y)-e^(xy) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

       2               x*y
z = cot (3*x + 5*y) - E

z = - e^{x y} + \cot^{2}{\left(3 x + 5 y \right)}

Simplificar

Gráfica

Respuesta rápida [src]

                                                                                                              2                                                        2                                                           
       /   re(x*y)                  2*sin(6*re(x) + 10*re(y))*sinh(6*im(x) + 10*im(y))  \                  sin (6*re(x) + 10*re(y))                                sinh (6*im(x) + 10*im(y))                                re(x*y)
z1 = I*|- e       *sin(im(x*y)) + ------------------------------------------------------| + ------------------------------------------------------ - ------------------------------------------------------ - cos(im(x*y))*e       
       |                                                                               2|                                                        2                                                        2                        
       \                          (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y))) /   (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y)))    (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y)))

z_{1} = i \left(- e^{\operatorname{re}{\left(x y\right)}} \sin{\left(\operatorname{im}{\left(x y\right)} \right)} + \frac{2 \sin{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} \sinh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}}\right) - e^{\operatorname{re}{\left(x y\right)}} \cos{\left(\operatorname{im}{\left(x y\right)} \right)} + \frac{\sin^{2}{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}} - \frac{\sinh^{2}{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}}

z1 = i*(-exp(re(x*y))*sin(im(x*y)) + 2*sin(6*re(x) + 10*re(y))*sinh(6*im(x) + 10*im(y))/(cos(6*re(x) + 10*re(y)) - cosh(6*im(x) + 10*im(y)))^2) - exp(re(x*y))*cos(im(x*y)) + sin(6*re(x) + 10*re(y))^2/(cos(6*re(x) + 10*re(y)) - cosh(6*im(x) + 10*im(y)))^2 - sinh(6*im(x) + 10*im(y))^2/(cos(6*re(x) + 10*re(y)) - cosh(6*im(x) + 10*im(y)))^2

Suma y producto de raíces [src]

suma

                                                                                                         2                                                        2                                                           
  /   re(x*y)                  2*sin(6*re(x) + 10*re(y))*sinh(6*im(x) + 10*im(y))  \                  sin (6*re(x) + 10*re(y))                                sinh (6*im(x) + 10*im(y))                                re(x*y)
I*|- e       *sin(im(x*y)) + ------------------------------------------------------| + ------------------------------------------------------ - ------------------------------------------------------ - cos(im(x*y))*e       
  |                                                                               2|                                                        2                                                        2                        
  \                          (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y))) /   (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y)))    (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y)))

i \left(- e^{\operatorname{re}{\left(x y\right)}} \sin{\left(\operatorname{im}{\left(x y\right)} \right)} + \frac{2 \sin{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} \sinh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}}\right) - e^{\operatorname{re}{\left(x y\right)}} \cos{\left(\operatorname{im}{\left(x y\right)} \right)} + \frac{\sin^{2}{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}} - \frac{\sinh^{2}{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}}

                                                                                                         2                                                        2                                                           
  /   re(x*y)                  2*sin(6*re(x) + 10*re(y))*sinh(6*im(x) + 10*im(y))  \                  sin (6*re(x) + 10*re(y))                                sinh (6*im(x) + 10*im(y))                                re(x*y)
I*|- e       *sin(im(x*y)) + ------------------------------------------------------| + ------------------------------------------------------ - ------------------------------------------------------ - cos(im(x*y))*e       
  |                                                                               2|                                                        2                                                        2                        
  \                          (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y))) /   (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y)))    (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y)))

i \left(- e^{\operatorname{re}{\left(x y\right)}} \sin{\left(\operatorname{im}{\left(x y\right)} \right)} + \frac{2 \sin{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} \sinh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}}\right) - e^{\operatorname{re}{\left(x y\right)}} \cos{\left(\operatorname{im}{\left(x y\right)} \right)} + \frac{\sin^{2}{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}} - \frac{\sinh^{2}{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}}

producto

                                                                                                         2                                                        2                                                           
  /   re(x*y)                  2*sin(6*re(x) + 10*re(y))*sinh(6*im(x) + 10*im(y))  \                  sin (6*re(x) + 10*re(y))                                sinh (6*im(x) + 10*im(y))                                re(x*y)
I*|- e       *sin(im(x*y)) + ------------------------------------------------------| + ------------------------------------------------------ - ------------------------------------------------------ - cos(im(x*y))*e       
  |                                                                               2|                                                        2                                                        2                        
  \                          (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y))) /   (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y)))    (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y)))

i \left(- e^{\operatorname{re}{\left(x y\right)}} \sin{\left(\operatorname{im}{\left(x y\right)} \right)} + \frac{2 \sin{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} \sinh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}}\right) - e^{\operatorname{re}{\left(x y\right)}} \cos{\left(\operatorname{im}{\left(x y\right)} \right)} + \frac{\sin^{2}{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}} - \frac{\sinh^{2}{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}}

 /    2                          2                         /                                                                                                           2  re(x*y)             \                                                        2               re(x*y)\ 
-\sinh (6*im(x) + 10*im(y)) - sin (6*re(x) + 10*re(y)) + I*\-2*sin(6*re(x) + 10*re(y))*sinh(6*im(x) + 10*im(y)) + (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y))) *e       *sin(im(x*y))/ + (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y))) *cos(im(x*y))*e       / 
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                  2                                                                                                             
                                                                                                             (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y)))

- \frac{i \left(\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2} e^{\operatorname{re}{\left(x y\right)}} \sin{\left(\operatorname{im}{\left(x y\right)} \right)} - 2 \sin{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} \sinh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right) + \left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2} e^{\operatorname{re}{\left(x y\right)}} \cos{\left(\operatorname{im}{\left(x y\right)} \right)} - \sin^{2}{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} + \sinh^{2}{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}}{\left(\cos{\left(6 \operatorname{re}{\left(x\right)} + 10 \operatorname{re}{\left(y\right)} \right)} - \cosh{\left(6 \operatorname{im}{\left(x\right)} + 10 \operatorname{im}{\left(y\right)} \right)}\right)^{2}}

-(sinh(6*im(x) + 10*im(y))^2 - sin(6*re(x) + 10*re(y))^2 + i*(-2*sin(6*re(x) + 10*re(y))*sinh(6*im(x) + 10*im(y)) + (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y)))^2*exp(re(x*y))*sin(im(x*y))) + (-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y)))^2*cos(im(x*y))*exp(re(x*y)))/(-cosh(6*im(x) + 10*im(y)) + cos(6*re(x) + 10*re(y)))^2

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

z=ctg^2*(3*x+5*y)-e^(x*y) la ecuación

Solución numérica:

Solución

z=ctg^2(3x+5y)-e^(xy) la ecuación