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- La ecuación:
-
Ecuación x^2+5x=36
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Ecuación 3*x=8
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Ecuación 9-7(x+3)=5-6x
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Ecuación 4x-5=3+2(x+1)
- Expresar {x} en función de y en la ecuación:
- -17*x+2*y=9
- 10*x-15*y=16
- -17*x+2*y=-4
- -2*x-19*y=3
- Forma canónica:
- x^2-2y
- Derivada de:
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x^3lnx
- Gráfico de la función y =:
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x^3lnx
- Integral de d{x}:
- x^3lnx
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Expresiones idénticas
- x^ dos -2y=x^3lnx
- x al cuadrado menos 2y es igual a x al cubo lnx
- x en el grado dos menos 2y es igual a x al cubo lnx
- x2-2y=x3lnx
- x²-2y=x³lnx
- x en el grado 2-2y=x en el grado 3lnx
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Expresiones semejantes
- x^2+2y=x^3lnx
x^2-2y=x^3lnx la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Gráfica
Suma y producto de raíces
[src]
suma
/ / 2 2 \ \ / 2 2 \ | |re (x) im (x)| | |re (x) im (x)| I*|- |------ - ------|*im(x*log(x)) + (1 - re(x*log(x)))*im(x)*re(x)| + (1 - re(x*log(x)))*|------ - ------| + im(x)*im(x*log(x))*re(x) \ \ 2 2 / / \ 2 2 /
$$\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) + i \left(\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) \operatorname{im}{\left(x \log{\left(x \right)}\right)}\right) + \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(x \log{\left(x \right)}\right)}$$
=
/ / 2 2 \ \ / 2 2 \ | |re (x) im (x)| | |re (x) im (x)| I*|- |------ - ------|*im(x*log(x)) + (1 - re(x*log(x)))*im(x)*re(x)| + (1 - re(x*log(x)))*|------ - ------| + im(x)*im(x*log(x))*re(x) \ \ 2 2 / / \ 2 2 /
$$\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) + i \left(\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) \operatorname{im}{\left(x \log{\left(x \right)}\right)}\right) + \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(x \log{\left(x \right)}\right)}$$
producto
/ / 2 2 \ \ / 2 2 \ | |re (x) im (x)| | |re (x) im (x)| I*|- |------ - ------|*im(x*log(x)) + (1 - re(x*log(x)))*im(x)*re(x)| + (1 - re(x*log(x)))*|------ - ------| + im(x)*im(x*log(x))*re(x) \ \ 2 2 / / \ 2 2 /
$$\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) + i \left(\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) \operatorname{im}{\left(x \log{\left(x \right)}\right)}\right) + \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(x \log{\left(x \right)}\right)}$$
=
// 2 2 \ \ / 2 2 \
|\re (x) - im (x)/*im(x*log(x)) | (-1 + re(x*log(x)))*\re (x) - im (x)/
- I*|------------------------------ + (-1 + re(x*log(x)))*im(x)*re(x)| - ------------------------------------- + im(x)*im(x*log(x))*re(x)
\ 2 / 2
$$- i \left(\frac{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}\right) \operatorname{im}{\left(x \log{\left(x \right)}\right)}}{2} + \left(\operatorname{re}{\left(x \log{\left(x \right)}\right)} - 1\right) \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)}\right) - \frac{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}\right) \left(\operatorname{re}{\left(x \log{\left(x \right)}\right)} - 1\right)}{2} + \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(x \log{\left(x \right)}\right)}$$
-i*((re(x)^2 - im(x)^2)*im(x*log(x))/2 + (-1 + re(x*log(x)))*im(x)*re(x)) - (-1 + re(x*log(x)))*(re(x)^2 - im(x)^2)/2 + im(x)*im(x*log(x))*re(x)
Respuesta rápida
[src]
/ / 2 2 \ \ / 2 2 \
| |re (x) im (x)| | |re (x) im (x)|
y1 = I*|- |------ - ------|*im(x*log(x)) + (1 - re(x*log(x)))*im(x)*re(x)| + (1 - re(x*log(x)))*|------ - ------| + im(x)*im(x*log(x))*re(x)
\ \ 2 2 / / \ 2 2 /
$$y_{1} = \left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) + i \left(\left(1 - \operatorname{re}{\left(x \log{\left(x \right)}\right)}\right) \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}\right) \operatorname{im}{\left(x \log{\left(x \right)}\right)}\right) + \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} \operatorname{im}{\left(x \log{\left(x \right)}\right)}$$
y1 = (1 - re(x*log(x)))*(re(x)^2/2 - im(x)^2/2) + i*((1 - re(x*log(x)))*re(x)*im(x) - (re(x)^2/2 - im(x)^2/2)*im(x*log(x))) + re(x)*im(x)*im(x*log(x))