Sr Examen
Otras calculadoras
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¿Cómo usar?
- La ecuación:
-
Ecuación x^4+2*x^2-8=0
-
Ecuación x*(x^2+8*x+16)=5*(x+4)
-
Ecuación ((57.6/(150-x))^0.15)*((150+x)+10)/171.712=1
-
Ecuación x^2+3x=4
- Expresar {x} en función de y en la ecuación:
- -18*x-2*y=9
- -14*x+10*y=19
- -9*x+1*y=3
- -17*x+1*y=-11
-
Expresiones idénticas
- log(exp(y)+ uno)=Const+log(x^ dos + uno)
- logaritmo de ( exponente de (y) más 1) es igual a Const más logaritmo de (x al cuadrado más 1)
- logaritmo de ( exponente de (y) más uno) es igual a Const más logaritmo de (x en el grado dos más uno)
- log(exp(y)+1)=Const+log(x2+1)
- logexpy+1=Const+logx2+1
- log(exp(y)+1)=Const+log(x²+1)
- log(exp(y)+1)=Const+log(x en el grado 2+1)
- logexpy+1=Const+logx^2+1
-
Expresiones semejantes
- log(exp(y)+1)=Const-log(x^2+1)
- log(exp(y)-1)=Const+log(x^2+1)
- log(exp(y)+1)=Const+log(x^2-1)
-
Expresiones con funciones
- Logaritmo log
- log(x)=x
- log(2*y+1)/2=c+log(sin(x))
- log(2*x)=0
- log3x=-1
- log(4/x)/log(4x)+1/(log(4)/log(x))^2=1
- Exponente exp
- exp(x)/(x+1)-exp(x)/(x+1)^2=0
- exp(x+j*y+10)=1+i
- exp(x)-1/x^2=0
- Exp(x)-(x-1)^2-3=0
- exp(x)-240x-8=0
- Logaritmo log
- log(x)=x
- log(2*y+1)/2=c+log(sin(x))
- log(2*x)=0
- log3x=-1
- log(4/x)/log(4x)+1/(log(4)/log(x))^2=1
log(exp(y)+1)=Const+log(x^2+1) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ y \ / 2 \ log\e + 1/ = c + log\x + 1/
$$\log{\left(e^{y} + 1 \right)} = c + \log{\left(x^{2} + 1 \right)}$$
Gráfica
Suma y producto de raíces
[src]
suma
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/ 2 2 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) / re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\\ / 2 2 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) / re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\\ / 2 2 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) / re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\\ / 2 2 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) / re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\\
4 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) \ // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\ |atan2\\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c)), \e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e /| 4 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) \ // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\ |atan2\\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c)), \e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e /| 4 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) \ // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\ |atan2\\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c)), \e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e /| 4 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) \ // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\ |atan2\\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c)), \e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e /|
- \/ \\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c))/ + \\e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e / *cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - I*\/ \\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c))/ + \\e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e / *sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + \/ \\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c))/ + \\e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e / *cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*\/ \\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c))/ + \\e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e / *sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\ 2 / \ 2 / \ 2 / \ 2 /
$$\left(- i \sqrt[4]{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2} + \left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)},\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} \right)}}{2} \right)} - \sqrt[4]{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2} + \left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)},\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} \right)}}{2} \right)}\right) + \left(i \sqrt[4]{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2} + \left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)},\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} \right)}}{2} \right)} + \sqrt[4]{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2} + \left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)},\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} \right)}}{2} \right)}\right)$$
=
0
$$0$$
producto
/ _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ / _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ | / 2 2 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) / re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\\ / 2 2 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) / re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\\| | / 2 2 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) / re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\\ / 2 2 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) / re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\\| | 4 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) \ // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\ |atan2\\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c)), \e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e /| 4 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) \ // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\ |atan2\\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c)), \e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e /|| |4 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) \ // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\ |atan2\\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c)), \e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e /| 4 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) \ // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\ |atan2\\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c)), \e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e /|| |- \/ \\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c))/ + \\e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e / *cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - I*\/ \\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c))/ + \\e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e / *sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*|\/ \\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c))/ + \\e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e / *cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*\/ \\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c))/ + \\e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e / *sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| \ \ 2 / \ 2 // \ \ 2 / \ 2 //
$$\left(- i \sqrt[4]{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2} + \left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)},\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} \right)}}{2} \right)} - \sqrt[4]{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2} + \left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)},\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} \right)}}{2} \right)}\right) \left(i \sqrt[4]{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2} + \left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)},\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} \right)}}{2} \right)} + \sqrt[4]{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2} + \left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)},\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} \right)}}{2} \right)}\right)$$
=
/ / / 2*I*im(c)\ -I*im(c) / I*(-im(c) + im(y)) I*(-im(y) + im(c))\ re(y)\ / I*im(c) -I*im(c) / I*(-im(c) + im(y)) I*(-im(y) + im(c))\ \ \
| |I*\1 - e /*e I*\- e + e /*e | -re(c) |e e re(c) |e e | re(y)| -re(c)|
____________________________________________________________________________________________________________ -re(c) + I*atan2|-|---------------------------- - ------------------------------------------------------|*e , |-------- + --------- - e + |------------------- + -------------------|*e |*e |
/ re(c) + re(y) re(c) re(y) 2*re(c) 2*re(y) \ \ 2 2 / \ 2 2 \ 2 2 / / /
-\/ 1 - 2*cos(-im(y) + im(c))*e - 2*cos(im(c))*e + 2*cos(im(y))*e + e + e *e
$$- \sqrt{- 2 e^{\operatorname{re}{\left(c\right)} + \operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(y\right)} \right)} + e^{2 \operatorname{re}{\left(c\right)}} - 2 e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{2 \operatorname{re}{\left(y\right)}} + 2 e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1} e^{- \operatorname{re}{\left(c\right)} + i \operatorname{atan_{2}}{\left(- \left(\frac{i \left(1 - e^{2 i \operatorname{im}{\left(c\right)}}\right) e^{- i \operatorname{im}{\left(c\right)}}}{2} - \frac{i \left(- e^{i \left(- \operatorname{im}{\left(c\right)} + \operatorname{im}{\left(y\right)}\right)} + e^{i \left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(y\right)}\right)}\right) e^{\operatorname{re}{\left(y\right)}}}{2}\right) e^{- \operatorname{re}{\left(c\right)}},\left(\left(\frac{e^{i \left(- \operatorname{im}{\left(c\right)} + \operatorname{im}{\left(y\right)}\right)}}{2} + \frac{e^{i \left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(y\right)}\right)}}{2}\right) e^{\operatorname{re}{\left(y\right)}} + \frac{e^{i \operatorname{im}{\left(c\right)}}}{2} - e^{\operatorname{re}{\left(c\right)}} + \frac{e^{- i \operatorname{im}{\left(c\right)}}}{2}\right) e^{- \operatorname{re}{\left(c\right)}} \right)}}$$
-sqrt(1 - 2*cos(-im(y) + im(c))*exp(re(c) + re(y)) - 2*cos(im(c))*exp(re(c)) + 2*cos(im(y))*exp(re(y)) + exp(2*re(c)) + exp(2*re(y)))*exp(-re(c) + i*atan2(-(i*(1 - exp(2*i*im(c)))*exp(-i*im(c))/2 - i*(-exp(i*(-im(c) + im(y))) + exp(i*(-im(y) + im(c))))*exp(re(y))/2)*exp(-re(c)), (exp(i*im(c))/2 + exp(-i*im(c))/2 - exp(re(c)) + (exp(i*(-im(c) + im(y)))/2 + exp(i*(-im(y) + im(c)))/2)*exp(re(y)))*exp(-re(c))))
Respuesta rápida
[src]
_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ 2 2 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) / re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\\ / 2 2 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) / re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\\
4 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) \ // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\ |atan2\\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c)), \e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e /| 4 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) \ // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\ |atan2\\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c)), \e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e /|
x1 = - \/ \\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c))/ + \\e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e / *cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - I*\/ \\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c))/ + \\e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e / *sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\ 2 / \ 2 /
$$x_{1} = - i \sqrt[4]{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2} + \left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)},\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} \right)}}{2} \right)} - \sqrt[4]{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2} + \left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)},\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} \right)}}{2} \right)}$$
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/ 2 2 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) / re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\\ / 2 2 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) / re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\\
4 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) \ // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\ |atan2\\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c)), \e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e /| 4 / // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c) \ // re(y) re(c) \ -re(c) / re(y) re(c)\ -re(c)\ |atan2\\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c)), \e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e /|
x2 = \/ \\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c))/ + \\e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e / *cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*\/ \\e *sin(im(y)) - e *sin(im(c))/*cos(im(c))*e - \1 + cos(im(y))*e - cos(im(c))*e /*e *sin(im(c))/ + \\e *sin(im(y)) - e *sin(im(c))/*e *sin(im(c)) + \1 + cos(im(y))*e - cos(im(c))*e /*cos(im(c))*e / *sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\ 2 / \ 2 /
$$x_{2} = i \sqrt[4]{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2} + \left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)},\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} \right)}}{2} \right)} + \sqrt[4]{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2} + \left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} - \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)},\left(- e^{\operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)}\right) e^{- \operatorname{re}{\left(c\right)}} \sin{\left(\operatorname{im}{\left(c\right)} \right)} + \left(- e^{\operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} + e^{\operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)} + 1\right) e^{- \operatorname{re}{\left(c\right)}} \cos{\left(\operatorname{im}{\left(c\right)} \right)} \right)}}{2} \right)}$$
x2 = i*(((-exp(re(c))*sin(im(c)) + exp(re(y))*sin(im(y)))*exp(-re(c))*sin(im(c)) + (-exp(re(c))*cos(im(c)) + exp(re(y))*cos(im(y)) + 1)*exp(-re(c))*cos(im(c)))^2 + ((-exp(re(c))*sin(im(c)) + exp(re(y))*sin(im(y)))*exp(-re(c))*cos(im(c)) - (-exp(re(c))*cos(im(c)) + exp(re(y))*cos(im(y)) + 1)*exp(-re(c))*sin(im(c)))^2)^(1/4)*sin(atan2((-exp(re(c))*sin(im(c)) + exp(re(y))*sin(im(y)))*exp(-re(c))*cos(im(c)) - (-exp(re(c))*cos(im(c)) + exp(re(y))*cos(im(y)) + 1)*exp(-re(c))*sin(im(c), (-exp(re(c))*sin(im(c)) + exp(re(y))*sin(im(y)))*exp(-re(c))*sin(im(c)) + (-exp(re(c))*cos(im(c)) + exp(re(y))*cos(im(y)) + 1)*exp(-re(c))*cos(im(c)))/2) + (((-exp(re(c))*sin(im(c)) + exp(re(y))*sin(im(y)))*exp(-re(c))*sin(im(c)) + (-exp(re(c))*cos(im(c)) + exp(re(y))*cos(im(y)) + 1)*exp(-re(c))*cos(im(c)))^2 + ((-exp(re(c))*sin(im(c)) + exp(re(y))*sin(im(y)))*exp(-re(c))*cos(im(c)) - (-exp(re(c))*cos(im(c)) + exp(re(y))*cos(im(y)) + 1)*exp(-re(c))*sin(im(c)))^2)^(1/4)*cos(atan2((-exp(re(c))*sin(im(c)) + exp(re(y))*sin(im(y)))*exp(-re(c))*cos(im(c)) - (-exp(re(c))*cos(im(c)) + exp(re(y))*cos(im(y)) + 1)*exp(-re(c))*sin(im(c)), (-exp(re(c))*sin(im(c)) + exp(re(y))*sin(im(y)))*exp(-re(c))*sin(im(c)) + (-exp(re(c))*cos(im(c)) + exp(re(y))*cos(im(y)) + 1)*exp(-re(c))*cos(im(c)))/2))