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- La ecuación:
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Ecuación 8*x-3*(2*x+1)=2*x+4
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Ecuación x^3=27
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Ecuación 1+sin(x)=0
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Ecuación 2*x^2+6*x+9=
- Expresar {x} en función de y en la ecuación:
- 20*x+6*y=8
- -11*x-15*y=14
- -11*x+10*y=-9
- 6*x-2*y=20
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Expresiones idénticas
- xy+e^(x+y)+ cuatro = cero
- xy más e en el grado (x más y) más 4 es igual a 0
- xy más e en el grado (x más y) más cuatro es igual a cero
- xy+e(x+y)+4=0
- xy+ex+y+4=0
- xy+e^x+y+4=0
- xy+e^(x+y)+4=O
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Expresiones semejantes
- xy+e^(x+y)-4=0
- xy-e^(x+y)+4=0
- xy+e^(x-y)+4=0
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Expresiones con funciones
- xy
- xy+lny-2cosx=0
- xy^3+y^2=1
- xy+ln(y)=1
- xy-y^2
- xy-2x+4y=25
xy+e^(x+y)+4=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Gráfica
Respuesta rápida
[src]
/ / 4\\ / / / 4\\ \
| | x - -|| | | | x - -|| |
| | x|| | | | x|| |
| |e || | | |e || 4*im(x) | 4*re(x)
y1 = - re|W|------|| + I*|- im|W|------|| + ---------------| - ---------------
\ \ x // | \ \ x // 2 2 | 2 2
\ im (x) + re (x)/ im (x) + re (x)
$$y_{1} = i \left(- \operatorname{im}{\left(W\left(\frac{e^{x - \frac{4}{x}}}{x}\right)\right)} + \frac{4 \operatorname{im}{\left(x\right)}}{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}}\right) - \operatorname{re}{\left(W\left(\frac{e^{x - \frac{4}{x}}}{x}\right)\right)} - \frac{4 \operatorname{re}{\left(x\right)}}{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}}$$
y1 = i*(-im(LambertW(exp(x - 4/x)/x)) + 4*im(x)/(re(x)^2 + im(x)^2)) - re(LambertW(exp(x - 4/x)/x)) - 4*re(x)/(re(x)^2 + im(x)^2)
Suma y producto de raíces
[src]
suma
/ / 4\\ / / / 4\\ \
| | x - -|| | | | x - -|| |
| | x|| | | | x|| |
| |e || | | |e || 4*im(x) | 4*re(x)
- re|W|------|| + I*|- im|W|------|| + ---------------| - ---------------
\ \ x // | \ \ x // 2 2 | 2 2
\ im (x) + re (x)/ im (x) + re (x)
$$i \left(- \operatorname{im}{\left(W\left(\frac{e^{x - \frac{4}{x}}}{x}\right)\right)} + \frac{4 \operatorname{im}{\left(x\right)}}{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}}\right) - \operatorname{re}{\left(W\left(\frac{e^{x - \frac{4}{x}}}{x}\right)\right)} - \frac{4 \operatorname{re}{\left(x\right)}}{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}}$$
=
/ / 4\\ / / / 4\\ \
| | x - -|| | | | x - -|| |
| | x|| | | | x|| |
| |e || | | |e || 4*im(x) | 4*re(x)
- re|W|------|| + I*|- im|W|------|| + ---------------| - ---------------
\ \ x // | \ \ x // 2 2 | 2 2
\ im (x) + re (x)/ im (x) + re (x)
$$i \left(- \operatorname{im}{\left(W\left(\frac{e^{x - \frac{4}{x}}}{x}\right)\right)} + \frac{4 \operatorname{im}{\left(x\right)}}{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}}\right) - \operatorname{re}{\left(W\left(\frac{e^{x - \frac{4}{x}}}{x}\right)\right)} - \frac{4 \operatorname{re}{\left(x\right)}}{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}}$$
producto
/ / 4\\ / / / 4\\ \
| | x - -|| | | | x - -|| |
| | x|| | | | x|| |
| |e || | | |e || 4*im(x) | 4*re(x)
- re|W|------|| + I*|- im|W|------|| + ---------------| - ---------------
\ \ x // | \ \ x // 2 2 | 2 2
\ im (x) + re (x)/ im (x) + re (x)
$$i \left(- \operatorname{im}{\left(W\left(\frac{e^{x - \frac{4}{x}}}{x}\right)\right)} + \frac{4 \operatorname{im}{\left(x\right)}}{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}}\right) - \operatorname{re}{\left(W\left(\frac{e^{x - \frac{4}{x}}}{x}\right)\right)} - \frac{4 \operatorname{re}{\left(x\right)}}{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}}$$
=
/ / / 2\\\ / / 2\\
| | | -4 + x ||| | | -4 + x ||
| | | -------||| | | -------||
| | | x ||| | | x ||
| / 2 2 \ | |e ||| / 2 2 \ | |e ||
-4*re(x) + I*|4*im(x) - \im (x) + re (x)/*im|W|--------||| - \im (x) + re (x)/*re|W|--------||
\ \ \ x /// \ \ x //
----------------------------------------------------------------------------------------------
2 2
im (x) + re (x)
$$\frac{i \left(- \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right) \operatorname{im}{\left(W\left(\frac{e^{\frac{x^{2} - 4}{x}}}{x}\right)\right)} + 4 \operatorname{im}{\left(x\right)}\right) - \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right) \operatorname{re}{\left(W\left(\frac{e^{\frac{x^{2} - 4}{x}}}{x}\right)\right)} - 4 \operatorname{re}{\left(x\right)}}{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}}$$
(-4*re(x) + i*(4*im(x) - (im(x)^2 + re(x)^2)*im(LambertW(exp((-4 + x^2)/x)/x))) - (im(x)^2 + re(x)^2)*re(LambertW(exp((-4 + x^2)/x)/x)))/(im(x)^2 + re(x)^2)