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La ecuación:
Ecuación x^2+3x=4
Ecuación -24-y=-16
Ecuación (11x+14)-(5x-8)=25
Ecuación 4(x-6)=x-9
Expresar {x} en función de y en la ecuación:
-18*x+8*y=-2
15*x+1*y=19
-3*x+17*y=-4
-14*x-12*y=5
Expresiones idénticas
asin(y/ tres)=Const+atan(x/ dos)/ dos
ar coseno de eno de (y dividir por 3) es igual a Const más arco tangente de gente de (x dividir por 2) dividir por 2
ar coseno de eno de (y dividir por tres) es igual a Const más arco tangente de gente de (x dividir por dos) dividir por dos
asiny/3=Const+atanx/2/2
asin(y dividir por 3)=Const+atan(x dividir por 2) dividir por 2
Expresiones semejantes
asin(y/3)=Const-atan(x/2)/2
arcsin(y/3)=Const+arctan(x/2)/2
Expresiones con funciones
Arcoseno arcsin
asin(x/5)/pi-1=0
asin(u)=Const+log(x)
asin(y)=Const+ln(x)
asin(1/x)-21=0
asin(a/x)+ln√(x^2+a^2)=0
Arcotangente arctan
atan(x)-(1/x^3)=0
atan(x)+x-1=0
atan(y/3)/3=Const+x^2/2
atan(x)=(2*(-1)^(m*m)*x^2+(-1)^((m*x)^2)+m^2+5*m-x^2+4)/4
atan(x)+atan(3*x)=atan(4*x/(1-3*x^2))

asin(y/3)=Const+atan(x/2)/2 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

                  /x\
              atan|-|
    /y\           \2/
asin|-| = c + -------
    \3/          2

\operatorname{asin}{\left(\frac{y}{3} \right)} = c + \frac{\operatorname{atan}{\left(\frac{x}{2} \right)}}{2}

Simplificar

Gráfica

Respuesta rápida [src]

                            /      /    /y\\          \                                         /      /    /y\\          \               
                       2*sin|- 4*re|asin|-|| + 4*re(c)|                                 2*I*sinh|- 4*im|asin|-|| + 4*im(c)|               
                            \      \    \3//          /                                         \      \    \3//          /               
x1 = - ---------------------------------------------------------------- - ----------------------------------------------------------------
          /      /    /y\\          \       /      /    /y\\          \      /      /    /y\\          \       /      /    /y\\          \
       cos|- 4*re|asin|-|| + 4*re(c)| + cosh|- 4*im|asin|-|| + 4*im(c)|   cos|- 4*re|asin|-|| + 4*re(c)| + cosh|- 4*im|asin|-|| + 4*im(c)|
          \      \    \3//          /       \      \    \3//          /      \      \    \3//          /       \      \    \3//          /

x_{1} = - \frac{2 \sin{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}} - \frac{2 i \sinh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}

x1 = -2*sin(4*re(c) - 4*re(asin(y/3)))/(cos(4*re(c) - 4*re(asin(y/3))) + cosh(4*im(c) - 4*im(asin(y/3)))) - 2*i*sinh(4*im(c) - 4*im(asin(y/3)))/(cos(4*re(c) - 4*re(asin(y/3))) + cosh(4*im(c) - 4*im(asin(y/3))))

Suma y producto de raíces [src]

suma

                       /      /    /y\\          \                                         /      /    /y\\          \               
                  2*sin|- 4*re|asin|-|| + 4*re(c)|                                 2*I*sinh|- 4*im|asin|-|| + 4*im(c)|               
                       \      \    \3//          /                                         \      \    \3//          /               
- ---------------------------------------------------------------- - ----------------------------------------------------------------
     /      /    /y\\          \       /      /    /y\\          \      /      /    /y\\          \       /      /    /y\\          \
  cos|- 4*re|asin|-|| + 4*re(c)| + cosh|- 4*im|asin|-|| + 4*im(c)|   cos|- 4*re|asin|-|| + 4*re(c)| + cosh|- 4*im|asin|-|| + 4*im(c)|
     \      \    \3//          /       \      \    \3//          /      \      \    \3//          /       \      \    \3//          /

- \frac{2 \sin{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}} - \frac{2 i \sinh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}

                       /      /    /y\\          \                                         /      /    /y\\          \               
                  2*sin|- 4*re|asin|-|| + 4*re(c)|                                 2*I*sinh|- 4*im|asin|-|| + 4*im(c)|               
                       \      \    \3//          /                                         \      \    \3//          /               
- ---------------------------------------------------------------- - ----------------------------------------------------------------
     /      /    /y\\          \       /      /    /y\\          \      /      /    /y\\          \       /      /    /y\\          \
  cos|- 4*re|asin|-|| + 4*re(c)| + cosh|- 4*im|asin|-|| + 4*im(c)|   cos|- 4*re|asin|-|| + 4*re(c)| + cosh|- 4*im|asin|-|| + 4*im(c)|
     \      \    \3//          /       \      \    \3//          /      \      \    \3//          /       \      \    \3//          /

- \frac{2 \sin{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}} - \frac{2 i \sinh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}

producto

                       /      /    /y\\          \                                         /      /    /y\\          \               
                  2*sin|- 4*re|asin|-|| + 4*re(c)|                                 2*I*sinh|- 4*im|asin|-|| + 4*im(c)|               
                       \      \    \3//          /                                         \      \    \3//          /               
- ---------------------------------------------------------------- - ----------------------------------------------------------------
     /      /    /y\\          \       /      /    /y\\          \      /      /    /y\\          \       /      /    /y\\          \
  cos|- 4*re|asin|-|| + 4*re(c)| + cosh|- 4*im|asin|-|| + 4*im(c)|   cos|- 4*re|asin|-|| + 4*re(c)| + cosh|- 4*im|asin|-|| + 4*im(c)|
     \      \    \3//          /       \      \    \3//          /      \      \    \3//          /       \      \    \3//          /

- \frac{2 \sin{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}} - \frac{2 i \sinh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}

 /     /      /    /y\\          \           /      /    /y\\          \\ 
-|2*sin|- 4*re|asin|-|| + 4*re(c)| + 2*I*sinh|- 4*im|asin|-|| + 4*im(c)|| 
 \     \      \    \3//          /           \      \    \3//          // 
--------------------------------------------------------------------------
        /      /    /y\\          \       /      /    /y\\          \     
     cos|- 4*re|asin|-|| + 4*re(c)| + cosh|- 4*im|asin|-|| + 4*im(c)|     
        \      \    \3//          /       \      \    \3//          /

- \frac{2 \sin{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)} + 2 i \sinh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}{\cos{\left(4 \operatorname{re}{\left(c\right)} - 4 \operatorname{re}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)} + \cosh{\left(4 \operatorname{im}{\left(c\right)} - 4 \operatorname{im}{\left(\operatorname{asin}{\left(\frac{y}{3} \right)}\right)} \right)}}

-(2*sin(-4*re(asin(y/3)) + 4*re(c)) + 2*i*sinh(-4*im(asin(y/3)) + 4*im(c)))/(cos(-4*re(asin(y/3)) + 4*re(c)) + cosh(-4*im(asin(y/3)) + 4*im(c)))

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Expresiones con funciones

asin(y/3)=Const+atan(x/2)/2 la ecuación

Solución numérica:

Solución