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Otras calculadoras
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- La ecuación:
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Ecuación x^3-x^2-x-1=0
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Ecuación 12-4(x-3)=39-9x
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Ecuación 0,2x+2,7=1,4-1,1x
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Ecuación x^2=2x+8
- Expresar {x} en función de y en la ecuación:
- -11*x-14*y=-3
- -9*x-1*y=6
- -2*x+2*y=4
- -11*x-3*y=14
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Expresiones idénticas
- z=arctg*sqrt(x*y)+E^(x-y)
- z es igual a arctg multiplicar por raíz cuadrada de (x multiplicar por y) más E en el grado (x menos y)
- z=arctg*√(x*y)+E^(x-y)
- z=arctg*sqrt(x*y)+E(x-y)
- z=arctg*sqrtx*y+Ex-y
- z=arctgsqrt(xy)+E^(x-y)
- z=arctgsqrt(xy)+E(x-y)
- z=arctgsqrtxy+Ex-y
- z=arctgsqrtxy+E^x-y
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Expresiones semejantes
- z=arctg*sqrt(x*y)-E^(x-y)
- z=arctg*sqrt(x*y)+E^(x+y)
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Expresiones con funciones
- arctg
- arctg(x)-3x+2=0
- arctg(x^2+y^2-2x-3)=0
- arctg(x)=57
- arctg(7.4021x)+14x=2.62
- arctg(x)=ln(y+1)
- Raíz cuadrada sqrt
- sqrt(12+x)-sqrt(1-x)=1
- sqrt(x-1)+3=x
- sqrt(x^2-4)=4-2x
- sqrt(x^2-x-3)=3
- sqrt-x=x+6
z=arctg*sqrt(x*y)+E^(x-y) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
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_____ x - y z = atan(x)*\/ x*y + E
$$z = e^{x - y} + \sqrt{x y} \operatorname{atan}{\left(x \right)}$$
Gráfica
Suma y producto de raíces
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suma
/ -re(y) + re(x) / _____ \\ -re(y) + re(x) / _____ \ I*\e *sin(-im(y) + im(x)) + im\\/ x*y *atan(x)// + cos(-im(y) + im(x))*e + re\\/ x*y *atan(x)/
$$i \left(e^{\operatorname{re}{\left(x\right)} - \operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(x\right)} - \operatorname{im}{\left(y\right)} \right)} + \operatorname{im}{\left(\sqrt{x y} \operatorname{atan}{\left(x \right)}\right)}\right) + e^{\operatorname{re}{\left(x\right)} - \operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(x\right)} - \operatorname{im}{\left(y\right)} \right)} + \operatorname{re}{\left(\sqrt{x y} \operatorname{atan}{\left(x \right)}\right)}$$
=
/ -re(y) + re(x) / _____ \\ -re(y) + re(x) / _____ \ I*\e *sin(-im(y) + im(x)) + im\\/ x*y *atan(x)// + cos(-im(y) + im(x))*e + re\\/ x*y *atan(x)/
$$i \left(e^{\operatorname{re}{\left(x\right)} - \operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(x\right)} - \operatorname{im}{\left(y\right)} \right)} + \operatorname{im}{\left(\sqrt{x y} \operatorname{atan}{\left(x \right)}\right)}\right) + e^{\operatorname{re}{\left(x\right)} - \operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(x\right)} - \operatorname{im}{\left(y\right)} \right)} + \operatorname{re}{\left(\sqrt{x y} \operatorname{atan}{\left(x \right)}\right)}$$
producto
/ -re(y) + re(x) / _____ \\ -re(y) + re(x) / _____ \ I*\e *sin(-im(y) + im(x)) + im\\/ x*y *atan(x)// + cos(-im(y) + im(x))*e + re\\/ x*y *atan(x)/
$$i \left(e^{\operatorname{re}{\left(x\right)} - \operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(x\right)} - \operatorname{im}{\left(y\right)} \right)} + \operatorname{im}{\left(\sqrt{x y} \operatorname{atan}{\left(x \right)}\right)}\right) + e^{\operatorname{re}{\left(x\right)} - \operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(x\right)} - \operatorname{im}{\left(y\right)} \right)} + \operatorname{re}{\left(\sqrt{x y} \operatorname{atan}{\left(x \right)}\right)}$$
=
/ -re(y) + re(x) / _____ \\ -re(y) + re(x) / _____ \ I*\e *sin(-im(y) + im(x)) + im\\/ x*y *atan(x)// + cos(-im(y) + im(x))*e + re\\/ x*y *atan(x)/
$$i \left(e^{\operatorname{re}{\left(x\right)} - \operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(x\right)} - \operatorname{im}{\left(y\right)} \right)} + \operatorname{im}{\left(\sqrt{x y} \operatorname{atan}{\left(x \right)}\right)}\right) + e^{\operatorname{re}{\left(x\right)} - \operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(x\right)} - \operatorname{im}{\left(y\right)} \right)} + \operatorname{re}{\left(\sqrt{x y} \operatorname{atan}{\left(x \right)}\right)}$$
i*(exp(-re(y) + re(x))*sin(-im(y) + im(x)) + im(sqrt(x*y)*atan(x))) + cos(-im(y) + im(x))*exp(-re(y) + re(x)) + re(sqrt(x*y)*atan(x))
Respuesta rápida
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/ -re(y) + re(x) / _____ \\ -re(y) + re(x) / _____ \ z1 = I*\e *sin(-im(y) + im(x)) + im\\/ x*y *atan(x)// + cos(-im(y) + im(x))*e + re\\/ x*y *atan(x)/
$$z_{1} = i \left(e^{\operatorname{re}{\left(x\right)} - \operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(x\right)} - \operatorname{im}{\left(y\right)} \right)} + \operatorname{im}{\left(\sqrt{x y} \operatorname{atan}{\left(x \right)}\right)}\right) + e^{\operatorname{re}{\left(x\right)} - \operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(x\right)} - \operatorname{im}{\left(y\right)} \right)} + \operatorname{re}{\left(\sqrt{x y} \operatorname{atan}{\left(x \right)}\right)}$$
z1 = i*(exp(re(x) - re(y))*sin(im(x) - im(y)) + im(sqrt(x*y)*atan(x))) + exp(re(x) - re(y))*cos(im(x) - im(y)) + re(sqrt(x*y)*atan(x))