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- La ecuación:
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Ecuación x^3-x^2-x-1=0
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Ecuación 3x-2(3x+4)=10
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Ecuación 12-4(x-3)=39-9x
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Ecuación 0,2x+2,7=1,4-1,1x
- Expresar {x} en función de y en la ecuación:
- 7*x-1*y=0
- -11*x-3*y=14
- 2*x-15*y=-1
- -18*x-6*y=-1
- Derivada de:
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y^2
- Integral de d{x}:
- y^2
- Gráfico de la función y =:
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y^2
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Expresiones idénticas
- y^ dos =x+(lny)/x
- y al cuadrado es igual a x más (lny) dividir por x
- y en el grado dos es igual a x más (lny) dividir por x
- y2=x+(lny)/x
- y2=x+lny/x
- y²=x+(lny)/x
- y en el grado 2=x+(lny)/x
- y^2=x+lny/x
- y^2=x+(lny) dividir por x
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Expresiones semejantes
- y^2=x-(lny)/x
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Expresiones con funciones
- lny
- lny=ax+by
- lny=-2ln(x^2+1)+const
- lny=(-1/x)+lnc
- lny+(x/y)^0.5=2
y^2=x+(lny)/x la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Gráfica
Respuesta rápida
[src]
/ / 2\\ / / 2\\
| | -2*x || | | -2*x ||
/ / / 2\\ \ 2 2 re\W\-2*x*e // 2 2 re\W\-2*x*e // / / / 2\\ \
| | | -2*x || | im (x) - re (x) - ------------------ im (x) - re (x) - ------------------ | | | -2*x || |
|im\W\-2*x*e // | 2 2 |im\W\-2*x*e // |
y1 = cos|------------------ + 2*im(x)*re(x)|*e - I*e *sin|------------------ + 2*im(x)*re(x)|
\ 2 / \ 2 /
$$y_{1} = - i e^{- \left(\operatorname{re}{\left(x\right)}\right)^{2} - \frac{\operatorname{re}{\left(W\left(- 2 x e^{- 2 x^{2}}\right)\right)}}{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} + \frac{\operatorname{im}{\left(W\left(- 2 x e^{- 2 x^{2}}\right)\right)}}{2} \right)} + e^{- \left(\operatorname{re}{\left(x\right)}\right)^{2} - \frac{\operatorname{re}{\left(W\left(- 2 x e^{- 2 x^{2}}\right)\right)}}{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} + \frac{\operatorname{im}{\left(W\left(- 2 x e^{- 2 x^{2}}\right)\right)}}{2} \right)}$$
y1 = -i*exp(-re(x)^2 - re(LambertW(-2*x*exp(-2*x^2)))/2 + im(x)^2)*sin(2*re(x)*im(x) + im(LambertW(-2*x*exp(-2*x^2)))/2) + exp(-re(x)^2 - re(LambertW(-2*x*exp(-2*x^2)))/2 + im(x)^2)*cos(2*re(x)*im(x) + im(LambertW(-2*x*exp(-2*x^2)))/2)
Suma y producto de raíces
[src]
suma
/ / 2\\ / / 2\\
| | -2*x || | | -2*x ||
/ / / 2\\ \ 2 2 re\W\-2*x*e // 2 2 re\W\-2*x*e // / / / 2\\ \
| | | -2*x || | im (x) - re (x) - ------------------ im (x) - re (x) - ------------------ | | | -2*x || |
|im\W\-2*x*e // | 2 2 |im\W\-2*x*e // |
cos|------------------ + 2*im(x)*re(x)|*e - I*e *sin|------------------ + 2*im(x)*re(x)|
\ 2 / \ 2 /
$$- i e^{- \left(\operatorname{re}{\left(x\right)}\right)^{2} - \frac{\operatorname{re}{\left(W\left(- 2 x e^{- 2 x^{2}}\right)\right)}}{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} + \frac{\operatorname{im}{\left(W\left(- 2 x e^{- 2 x^{2}}\right)\right)}}{2} \right)} + e^{- \left(\operatorname{re}{\left(x\right)}\right)^{2} - \frac{\operatorname{re}{\left(W\left(- 2 x e^{- 2 x^{2}}\right)\right)}}{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} + \frac{\operatorname{im}{\left(W\left(- 2 x e^{- 2 x^{2}}\right)\right)}}{2} \right)}$$
=
/ / 2\\ / / 2\\
| | -2*x || | | -2*x ||
/ / / 2\\ \ 2 2 re\W\-2*x*e // 2 2 re\W\-2*x*e // / / / 2\\ \
| | | -2*x || | im (x) - re (x) - ------------------ im (x) - re (x) - ------------------ | | | -2*x || |
|im\W\-2*x*e // | 2 2 |im\W\-2*x*e // |
cos|------------------ + 2*im(x)*re(x)|*e - I*e *sin|------------------ + 2*im(x)*re(x)|
\ 2 / \ 2 /
$$- i e^{- \left(\operatorname{re}{\left(x\right)}\right)^{2} - \frac{\operatorname{re}{\left(W\left(- 2 x e^{- 2 x^{2}}\right)\right)}}{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} + \frac{\operatorname{im}{\left(W\left(- 2 x e^{- 2 x^{2}}\right)\right)}}{2} \right)} + e^{- \left(\operatorname{re}{\left(x\right)}\right)^{2} - \frac{\operatorname{re}{\left(W\left(- 2 x e^{- 2 x^{2}}\right)\right)}}{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} + \frac{\operatorname{im}{\left(W\left(- 2 x e^{- 2 x^{2}}\right)\right)}}{2} \right)}$$
producto
/ / 2\\ / / 2\\
| | -2*x || | | -2*x ||
/ / / 2\\ \ 2 2 re\W\-2*x*e // 2 2 re\W\-2*x*e // / / / 2\\ \
| | | -2*x || | im (x) - re (x) - ------------------ im (x) - re (x) - ------------------ | | | -2*x || |
|im\W\-2*x*e // | 2 2 |im\W\-2*x*e // |
cos|------------------ + 2*im(x)*re(x)|*e - I*e *sin|------------------ + 2*im(x)*re(x)|
\ 2 / \ 2 /
$$- i e^{- \left(\operatorname{re}{\left(x\right)}\right)^{2} - \frac{\operatorname{re}{\left(W\left(- 2 x e^{- 2 x^{2}}\right)\right)}}{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} + \frac{\operatorname{im}{\left(W\left(- 2 x e^{- 2 x^{2}}\right)\right)}}{2} \right)} + e^{- \left(\operatorname{re}{\left(x\right)}\right)^{2} - \frac{\operatorname{re}{\left(W\left(- 2 x e^{- 2 x^{2}}\right)\right)}}{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} + \frac{\operatorname{im}{\left(W\left(- 2 x e^{- 2 x^{2}}\right)\right)}}{2} \right)}$$
=
/ / 2\\ / / / 2\\ \
| | -2*x || | | | -2*x || |
2 2 re\W\-2*x*e // | im\W\-2*x*e // |
im (x) - re (x) - ------------------ + I*|- ------------------ - 2*im(x)*re(x)|
2 \ 2 /
e
$$e^{i \left(- 2 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \frac{\operatorname{im}{\left(W\left(- 2 x e^{- 2 x^{2}}\right)\right)}}{2}\right) - \left(\operatorname{re}{\left(x\right)}\right)^{2} - \frac{\operatorname{re}{\left(W\left(- 2 x e^{- 2 x^{2}}\right)\right)}}{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}}$$
exp(im(x)^2 - re(x)^2 - re(LambertW(-2*x*exp(-2*x^2)))/2 + i*(-im(LambertW(-2*x*exp(-2*x^2)))/2 - 2*im(x)*re(x)))