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Otras calculadoras
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- La ecuación:
-
Ecuación x^2-6x+9=0
-
Ecuación (x-11)^4=(x+3)^4
-
Ecuación √(x^2-1)^3=2*x
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Ecuación -x/12+x=55/12
- Expresar {x} en función de y en la ecuación:
- 18*x-11*y=2
- 12*x-14*y=20
- -3*x-20*y=-13
- -16*x+14*y=-9
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Expresiones idénticas
- arctg(2x-y)-e^x
- arctg(2x menos y) menos e en el grado x
- arctg(2x-y)-ex
- arctg2x-y-ex
- arctg2x-y-e^x
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Expresiones semejantes
- arctg(2x+y)-e^x
- arctg(2x-y)+e^x
-
Expresiones con funciones
- arctg
- arctg(x-1)+arctg(x)+arctg(x+1)=arctg(3x)
- arctgh(3*x^2-1)=0
- arctg(1.251*0.3/x)=1.57
- arctg(18x)+arctg(28x)+9x=100
- arctg*lnx
arctg(2x-y)-e^x la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
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x atan(2*x - y) - E = 0
$$- e^{x} + \operatorname{atan}{\left(2 x - y \right)} = 0$$
Gráfica
Respuesta rápida
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/ / re(x) \ \ / re(x)\
| sinh\2*e *sin(im(x))/ | sin\2*cos(im(x))*e /
y1 = 2*re(x) + I*|2*im(x) - ----------------------------------------------------| - ----------------------------------------------------
| / re(x)\ / re(x) \| / re(x)\ / re(x) \
\ cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))// cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))/
$$y_{1} = i \left(2 \operatorname{im}{\left(x\right)} - \frac{\sinh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}\right) + 2 \operatorname{re}{\left(x\right)} - \frac{\sin{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}$$
y1 = i*(2*im(x) - sinh(2*exp(re(x))*sin(im(x)))/(cos(2*exp(re(x))*cos(im(x))) + cosh(2*exp(re(x))*sin(im(x))))) + 2*re(x) - sin(2*exp(re(x))*cos(im(x)))/(cos(2*exp(re(x))*cos(im(x))) + cosh(2*exp(re(x))*sin(im(x))))
Suma y producto de raíces
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suma
/ / re(x) \ \ / re(x)\
| sinh\2*e *sin(im(x))/ | sin\2*cos(im(x))*e /
2*re(x) + I*|2*im(x) - ----------------------------------------------------| - ----------------------------------------------------
| / re(x)\ / re(x) \| / re(x)\ / re(x) \
\ cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))// cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))/
$$i \left(2 \operatorname{im}{\left(x\right)} - \frac{\sinh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}\right) + 2 \operatorname{re}{\left(x\right)} - \frac{\sin{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}$$
=
/ / re(x) \ \ / re(x)\
| sinh\2*e *sin(im(x))/ | sin\2*cos(im(x))*e /
2*re(x) + I*|2*im(x) - ----------------------------------------------------| - ----------------------------------------------------
| / re(x)\ / re(x) \| / re(x)\ / re(x) \
\ cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))// cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))/
$$i \left(2 \operatorname{im}{\left(x\right)} - \frac{\sinh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}\right) + 2 \operatorname{re}{\left(x\right)} - \frac{\sin{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}$$
producto
/ / re(x) \ \ / re(x)\
| sinh\2*e *sin(im(x))/ | sin\2*cos(im(x))*e /
2*re(x) + I*|2*im(x) - ----------------------------------------------------| - ----------------------------------------------------
| / re(x)\ / re(x) \| / re(x)\ / re(x) \
\ cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))// cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))/
$$i \left(2 \operatorname{im}{\left(x\right)} - \frac{\sinh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}\right) + 2 \operatorname{re}{\left(x\right)} - \frac{\sin{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}$$
=
/ re(x)\ / / re(x) \ / / re(x)\ / re(x) \\ \ / / re(x)\ / re(x) \\
- sin\2*cos(im(x))*e / + I*\- sinh\2*e *sin(im(x))/ + 2*\cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))//*im(x)/ + 2*\cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))//*re(x)
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ re(x)\ / re(x) \
cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))/
$$\frac{i \left(2 \left(\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}\right) \operatorname{im}{\left(x\right)} - \sinh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}\right) + 2 \left(\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}\right) \operatorname{re}{\left(x\right)} - \sin{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}$$
(-sin(2*cos(im(x))*exp(re(x))) + i*(-sinh(2*exp(re(x))*sin(im(x))) + 2*(cos(2*cos(im(x))*exp(re(x))) + cosh(2*exp(re(x))*sin(im(x))))*im(x)) + 2*(cos(2*cos(im(x))*exp(re(x))) + cosh(2*exp(re(x))*sin(im(x))))*re(x))/(cos(2*cos(im(x))*exp(re(x))) + cosh(2*exp(re(x))*sin(im(x))))