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- La ecuación:
-
Ecuación sin(x)=-1
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Ecuación tan(x)=-1
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Ecuación cos(x)=sin(x)
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Ecuación 1-7*(4+2*x)=-9-4*x
- Expresar {x} en función de y en la ecuación:
- 16*x-17*y=-9
- -13*x-6*y=13
- -11*x+4*y=-8
- 17*x+16*y=7
-
Expresiones idénticas
- pix-ex= uno
- número pi x menos ex es igual a 1
- número pi x menos ex es igual a uno
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Expresiones semejantes
- pix+ex=1
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Expresiones con funciones
- ex
- exp(-((6,7^2)/2))/(6,7*sqrt(2*3,14))=x
- exp(-15*10^(-4)*x)=0.171
- exp(x)=6*10^(40)*x
- exp(x)2+exp(x)2
- exp((t*(57^(1/2)-17))/14)*(57^(1/2)/8+3/8)*((68*57^(1/2))/1653+4/29)-(4*57^(1/2)*exp(-(t*(57^(1/2)+17))/14)*(57^(1/2)/8-3/8)*(57^(1/2)-17))/1653+9/29
pix-ex=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Respuesta rápida
[src]
/ / 1 \\ / / 1 \\
| | -- || | | -- ||
| | pi || | | pi ||
1 | |-e || | |-e ||
x1 = -- - re|W|-----|| - I*im|W|-----||
pi \ \ pi // \ \ pi //
$$x_{1} = \frac{1}{\pi} - \operatorname{re}{\left(W\left(- \frac{e^{\frac{1}{\pi}}}{\pi}\right)\right)} - i \operatorname{im}{\left(W\left(- \frac{e^{\frac{1}{\pi}}}{\pi}\right)\right)}$$
x1 = 1/pi - re(LambertW(-exp(1/pi)/pi)) - i*im(LambertW(-exp(1/pi)/pi))
Suma y producto de raíces
[src]
suma
/ / 1 \\ / / 1 \\
| | -- || | | -- ||
| | pi || | | pi ||
1 | |-e || | |-e ||
-- - re|W|-----|| - I*im|W|-----||
pi \ \ pi // \ \ pi //
$$\frac{1}{\pi} - \operatorname{re}{\left(W\left(- \frac{e^{\frac{1}{\pi}}}{\pi}\right)\right)} - i \operatorname{im}{\left(W\left(- \frac{e^{\frac{1}{\pi}}}{\pi}\right)\right)}$$
=
/ / 1 \\ / / 1 \\
| | -- || | | -- ||
| | pi || | | pi ||
1 | |-e || | |-e ||
-- - re|W|-----|| - I*im|W|-----||
pi \ \ pi // \ \ pi //
$$\frac{1}{\pi} - \operatorname{re}{\left(W\left(- \frac{e^{\frac{1}{\pi}}}{\pi}\right)\right)} - i \operatorname{im}{\left(W\left(- \frac{e^{\frac{1}{\pi}}}{\pi}\right)\right)}$$
producto
/ / 1 \\ / / 1 \\
| | -- || | | -- ||
| | pi || | | pi ||
1 | |-e || | |-e ||
-- - re|W|-----|| - I*im|W|-----||
pi \ \ pi // \ \ pi //
$$\frac{1}{\pi} - \operatorname{re}{\left(W\left(- \frac{e^{\frac{1}{\pi}}}{\pi}\right)\right)} - i \operatorname{im}{\left(W\left(- \frac{e^{\frac{1}{\pi}}}{\pi}\right)\right)}$$
=
/ / 1 \\ / / 1 \\
| | -- || | | -- ||
| | pi || | | pi ||
1 | |-e || | |-e ||
-- - re|W|-----|| - I*im|W|-----||
pi \ \ pi // \ \ pi //
$$\frac{1}{\pi} - \operatorname{re}{\left(W\left(- \frac{e^{\frac{1}{\pi}}}{\pi}\right)\right)} - i \operatorname{im}{\left(W\left(- \frac{e^{\frac{1}{\pi}}}{\pi}\right)\right)}$$
1/pi - re(LambertW(-exp(1/pi)/pi)) - i*im(LambertW(-exp(1/pi)/pi))
Respuesta numérica
[src]
x1 = 1.20214112769942 - 0.583538037274717*i
x1 = 1.20214112769942 - 0.583538037274717*i