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- La ecuación:
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Ecuación x^2+4*x-32=0
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Ecuación 9*x^2=0
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Ecuación 4*x=24+x
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Ecuación 16-7(5-x)=9
- Expresar {x} en función de y en la ecuación:
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Expresiones idénticas
- x^ dos -lnx* dos *n-V* dos *n/c- uno = cero
- x al cuadrado menos lnx multiplicar por 2 multiplicar por n menos V multiplicar por 2 multiplicar por n dividir por c menos 1 es igual a 0
- x en el grado dos menos lnx multiplicar por dos multiplicar por n menos V multiplicar por dos multiplicar por n dividir por c menos uno es igual a cero
- x2-lnx*2*n-V*2*n/c-1=0
- x²-lnx*2*n-V*2*n/c-1=0
- x en el grado 2-lnx*2*n-V*2*n/c-1=0
- x^2-lnx2n-V2n/c-1=0
- x2-lnx2n-V2n/c-1=0
- x^2-lnx*2*n-V*2*n/c-1=O
- x^2-lnx*2*n-V*2*n dividir por c-1=0
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Expresiones semejantes
- x^2+lnx*2*n-V*2*n/c-1=0
- x^2-lnx*2*n-V*2*n/c+1=0
- x^2-lnx*2*n+V*2*n/c-1=0
x^2-lnx*2*n-V*2*n/c-1=0 la ecuación
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Solución
Ha introducido
[src]
2 v*2*n
x - log(x)*2*n - ----- - 1 = 0
c
$$\left(\left(- n 2 \log{\left(x \right)} + x^{2}\right) - \frac{n 2 v}{c}\right) - 1 = 0$$
Gráfica
Respuesta rápida
[src]
/ / -1 -2*v \\ / / -1 -2*v \\
| | --- ---- || | | --- ---- ||
| | n c || | | n c ||
/ / / -1 -2*v \\ \ | |-e *e || | |-e *e || / / / -1 -2*v \\ \
| | | --- ---- || | re|W|------------|| re|W|------------|| | | | --- ---- || |
| | | n c || | /v\ \ \ n // re(n) /v\ \ \ n // re(n) | | | n c || |
| | |-e *e || | - re|-| - ------------------- - ------------------- - re|-| - ------------------- - ------------------- | | |-e *e || |
|im|W|------------|| | \c/ 2 / 2 2 \ \c/ 2 / 2 2 \ |im|W|------------|| |
| \ \ n // im(n) /v\| 2*\im (n) + re (n)/ 2*\im (n) + re (n)/ | \ \ n // im(n) /v\|
x1 = cos|------------------- - ------------------- + im|-||*e - I*e *sin|------------------- - ------------------- + im|-||
| 2 / 2 2 \ \c/| | 2 / 2 2 \ \c/|
\ 2*\im (n) + re (n)/ / \ 2*\im (n) + re (n)/ /
$$x_{1} = - i e^{- \operatorname{re}{\left(\frac{v}{c}\right)} - \frac{\operatorname{re}{\left(W\left(- \frac{e^{- \frac{1}{n}} e^{- \frac{2 v}{c}}}{n}\right)\right)}}{2} - \frac{\operatorname{re}{\left(n\right)}}{2 \left(\left(\operatorname{re}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{2}\right)}} \sin{\left(\operatorname{im}{\left(\frac{v}{c}\right)} + \frac{\operatorname{im}{\left(W\left(- \frac{e^{- \frac{1}{n}} e^{- \frac{2 v}{c}}}{n}\right)\right)}}{2} - \frac{\operatorname{im}{\left(n\right)}}{2 \left(\left(\operatorname{re}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{2}\right)} \right)} + e^{- \operatorname{re}{\left(\frac{v}{c}\right)} - \frac{\operatorname{re}{\left(W\left(- \frac{e^{- \frac{1}{n}} e^{- \frac{2 v}{c}}}{n}\right)\right)}}{2} - \frac{\operatorname{re}{\left(n\right)}}{2 \left(\left(\operatorname{re}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{2}\right)}} \cos{\left(\operatorname{im}{\left(\frac{v}{c}\right)} + \frac{\operatorname{im}{\left(W\left(- \frac{e^{- \frac{1}{n}} e^{- \frac{2 v}{c}}}{n}\right)\right)}}{2} - \frac{\operatorname{im}{\left(n\right)}}{2 \left(\left(\operatorname{re}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{2}\right)} \right)}$$
/ / -1 -2*v\\ / / -1 -2*v\\
| | --- ----|| | | --- ----||
| | n c || | | n c ||
/ / / -1 -2*v\\ \ | |e *e || | |e *e || / / / -1 -2*v\\ \
| | | --- ----|| | re|W|----------|| re|W|----------|| | | | --- ----|| |
| | | n c || | /v\ \ \ n // re(n) /v\ \ \ n // re(n) | | | n c || |
| | |e *e || | - re|-| - ----------------- - ------------------- - re|-| - ----------------- - ------------------- | | |e *e || |
|im|W|----------|| | \c/ 2 / 2 2 \ \c/ 2 / 2 2 \ |im|W|----------|| |
| \ \ n // im(n) /v\| 2*\im (n) + re (n)/ 2*\im (n) + re (n)/ | \ \ n // im(n) /v\|
x2 = cos|----------------- - ------------------- + im|-||*e - I*e *sin|----------------- - ------------------- + im|-||
| 2 / 2 2 \ \c/| | 2 / 2 2 \ \c/|
\ 2*\im (n) + re (n)/ / \ 2*\im (n) + re (n)/ /
$$x_{2} = - i e^{- \operatorname{re}{\left(\frac{v}{c}\right)} - \frac{\operatorname{re}{\left(W\left(\frac{e^{- \frac{1}{n}} e^{- \frac{2 v}{c}}}{n}\right)\right)}}{2} - \frac{\operatorname{re}{\left(n\right)}}{2 \left(\left(\operatorname{re}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{2}\right)}} \sin{\left(\operatorname{im}{\left(\frac{v}{c}\right)} + \frac{\operatorname{im}{\left(W\left(\frac{e^{- \frac{1}{n}} e^{- \frac{2 v}{c}}}{n}\right)\right)}}{2} - \frac{\operatorname{im}{\left(n\right)}}{2 \left(\left(\operatorname{re}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{2}\right)} \right)} + e^{- \operatorname{re}{\left(\frac{v}{c}\right)} - \frac{\operatorname{re}{\left(W\left(\frac{e^{- \frac{1}{n}} e^{- \frac{2 v}{c}}}{n}\right)\right)}}{2} - \frac{\operatorname{re}{\left(n\right)}}{2 \left(\left(\operatorname{re}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{2}\right)}} \cos{\left(\operatorname{im}{\left(\frac{v}{c}\right)} + \frac{\operatorname{im}{\left(W\left(\frac{e^{- \frac{1}{n}} e^{- \frac{2 v}{c}}}{n}\right)\right)}}{2} - \frac{\operatorname{im}{\left(n\right)}}{2 \left(\left(\operatorname{re}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{2}\right)} \right)}$$
x2 = -i*exp(-re(v/c) - re(LambertW(exp(-1/n)*exp(-2*v/c)/n))/2 - re(n)/(2*(re(n)^2 + im(n)^2)))*sin(im(v/c) + im(LambertW(exp(-1/n)*exp(-2*v/c)/n))/2 - im(n)/(2*(re(n)^2 + im(n)^2))) + exp(-re(v/c) - re(LambertW(exp(-1/n)*exp(-2*v/c)/n))/2 - re(n)/(2*(re(n)^2 + im(n)^2)))*cos(im(v/c) + im(LambertW(exp(-1/n)*exp(-2*v/c)/n))/2 - im(n)/(2*(re(n)^2 + im(n)^2)))