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- La ecuación:
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Ecuación x+9=0
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Ecuación 2x^2+7x-9=0
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Ecuación 5*x^2+9*x=0
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Ecuación 3x^2=2x+x^3
- Expresar {x} en función de y en la ecuación:
- -6*x+11*y=-5
- -15*x+7*y=1
- -14*x+4*y=-16
- 11*x-9*y=-4
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Expresiones idénticas
- cuatrocientos ocho , tres =(((- dos mil trescientos setenta y cinco - setecientos setenta y cuatro , diecinueve mil trescientos trece *i)/ doce)*(-x- uno , quinientos treinta y ocho))*(e^((- dos mil trescientos setenta y cinco - setecientos setenta y cuatro , diecinueve mil trescientos trece *i)/ doce)*(t))+((- dos mil trescientos setenta y cinco + setecientos setenta y cuatro , diecinueve mil trescientos trece *i)/ doce)*x*(e^((- dos mil trescientos setenta y cinco - setecientos setenta y cuatro , diecinueve mil trescientos trece *i)/ doce)*(t))
- 408,03 es igual a ((( menos 2375 menos 774,19313 multiplicar por i) dividir por 12) multiplicar por ( menos x menos 1,538)) multiplicar por (e en el grado (( menos 2375 menos 774,19313 multiplicar por i) dividir por 12) multiplicar por (t)) más (( menos 2375 más 774,19313 multiplicar por i) dividir por 12) multiplicar por x multiplicar por (e en el grado (( menos 2375 menos 774,19313 multiplicar por i) dividir por 12) multiplicar por (t))
- cuatrocientos ocho , tres es igual a ((( menos dos mil trescientos setenta y cinco menos setecientos setenta y cuatro , diecinueve mil trescientos trece multiplicar por i) dividir por doce) multiplicar por ( menos x menos uno , quinientos treinta y ocho)) multiplicar por (e en el grado (( menos dos mil trescientos setenta y cinco menos setecientos setenta y cuatro , diecinueve mil trescientos trece multiplicar por i) dividir por doce) multiplicar por (t)) más (( menos dos mil trescientos setenta y cinco más setecientos setenta y cuatro , diecinueve mil trescientos trece multiplicar por i) dividir por doce) multiplicar por x multiplicar por (e en el grado (( menos dos mil trescientos setenta y cinco menos setecientos setenta y cuatro , diecinueve mil trescientos trece multiplicar por i) dividir por doce) multiplicar por (t))
- 408,03=(((-2375-774,19313*i)/12)*(-x-1,538))*(e((-2375-774,19313*i)/12)*(t))+((-2375+774,19313*i)/12)*x*(e((-2375-774,19313*i)/12)*(t))
- 408,03=-2375-774,19313*i/12*-x-1,538*e-2375-774,19313*i/12*t+-2375+774,19313*i/12*x*e-2375-774,19313*i/12*t
- 408,03=(((-2375-774,19313i)/12)(-x-1,538))(e^((-2375-774,19313i)/12)(t))+((-2375+774,19313i)/12)x(e^((-2375-774,19313i)/12)(t))
- 408,03=(((-2375-774,19313i)/12)(-x-1,538))(e((-2375-774,19313i)/12)(t))+((-2375+774,19313i)/12)x(e((-2375-774,19313i)/12)(t))
- 408,03=-2375-774,19313i/12-x-1,538e-2375-774,19313i/12t+-2375+774,19313i/12xe-2375-774,19313i/12t
- 408,03=-2375-774,19313i/12-x-1,538e^-2375-774,19313i/12t+-2375+774,19313i/12xe^-2375-774,19313i/12t
- 408,03=(((-2375-774,19313*i) dividir por 12)*(-x-1,538))*(e^((-2375-774,19313*i) dividir por 12)*(t))+((-2375+774,19313*i) dividir por 12)*x*(e^((-2375-774,19313*i) dividir por 12)*(t))
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Expresiones semejantes
- 408,03=(((-2375-774,19313*i)/12)*(-x-1,538))*(e^((2375-774,19313*i)/12)*(t))+((-2375+774,19313*i)/12)*x*(e^((-2375-774,19313*i)/12)*(t))
- 408,03=(((2375-774,19313*i)/12)*(-x-1,538))*(e^((-2375-774,19313*i)/12)*(t))+((-2375+774,19313*i)/12)*x*(e^((-2375-774,19313*i)/12)*(t))
- 408,03=(((-2375-774,19313*i)/12)*(-x-1,538))*(e^((-2375-774,19313*i)/12)*(t))+((-2375+774,19313*i)/12)*x*(e^((-2375+774,19313*i)/12)*(t))
- 408,03=(((-2375-774,19313*i)/12)*(-x-1,538))*(e^((-2375-774,19313*i)/12)*(t))+((-2375+774,19313*i)/12)*x*(e^((2375-774,19313*i)/12)*(t))
- 408,03=(((-2375+774,19313*i)/12)*(-x-1,538))*(e^((-2375-774,19313*i)/12)*(t))+((-2375+774,19313*i)/12)*x*(e^((-2375-774,19313*i)/12)*(t))
- 408,03=(((-2375-774,19313*i)/12)*(-x-1,538))*(e^((-2375-774,19313*i)/12)*(t))+((2375+774,19313*i)/12)*x*(e^((-2375-774,19313*i)/12)*(t))
- 408,03=(((-2375-774,19313*i)/12)*(-x+1,538))*(e^((-2375-774,19313*i)/12)*(t))+((-2375+774,19313*i)/12)*x*(e^((-2375-774,19313*i)/12)*(t))
- 408,03=(((-2375-774,19313*i)/12)*(-x-1,538))*(e^((-2375-774,19313*i)/12)*(t))-((-2375+774,19313*i)/12)*x*(e^((-2375-774,19313*i)/12)*(t))
- 408,03=(((-2375-774,19313*i)/12)*(-x-1,538))*(e^((-2375-774,19313*i)/12)*(t))+((-2375-774,19313*i)/12)*x*(e^((-2375-774,19313*i)/12)*(t))
- 408,03=(((-2375-774,19313*i)/12)*(x-1,538))*(e^((-2375-774,19313*i)/12)*(t))+((-2375+774,19313*i)/12)*x*(e^((-2375-774,19313*i)/12)*(t))
- 408,03=(((-2375-774,19313*i)/12)*(-x-1,538))*(e^((-2375+774,19313*i)/12)*(t))+((-2375+774,19313*i)/12)*x*(e^((-2375-774,19313*i)/12)*(t))
408,03=(((-2375-774,19313*i)/12)*(-x-1,538))*(e^((-2375-774,19313*i)/12)*(t))+((-2375+774,19313*i)/12)*x*(e^((-2375-774,19313*i)/12)*(t)) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
-2375 - 774.19313*I -2375 - 774.19313*I
------------------- -------------------
40803 -2375 - 774.19313*I / 769\ 12 -2375 + 774.19313*I 12
----- = -------------------*|-x - ---|*E *t + -------------------*x*E *t
100 12 \ 500/ 12
$$\frac{40803}{100} = e^{\frac{-2375 - 774.19313 i}{12}} t x \frac{-2375 + 774.19313 i}{12} + e^{\frac{-2375 - 774.19313 i}{12}} t \frac{-2375 - 774.19313 i}{12} \left(- x - \frac{769}{500}\right)$$
Gráfica
Respuesta rápida
[src]
/1.04221197690107e-51*(3.09034320354466e+136 + 2.2635212754204e+51*re(t) - 7.37853735174449e+50*im(t))*re(t) 1.04221197690107e-51*(2.71239880701756e+137 - 2.2635212754204e+51*im(t) - 7.37853735174449e+50*re(t))*im(t)\ 1.04221197690107e-51*(2.71239880701756e+137 - 2.2635212754204e+51*im(t) - 7.37853735174449e+50*re(t))*re(t) 1.04221197690107e-51*(3.09034320354466e+136 + 2.2635212754204e+51*re(t) - 7.37853735174449e+50*im(t))*im(t)
x1 = I*|----------------------------------------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------
| 2 2 2 2 | 2 2 2 2
\ im (t) + re (t) im (t) + re (t) / im (t) + re (t) im (t) + re (t)
$$x_{1} = i \left(- \frac{1.04221197690107 \cdot 10^{-51} \left(- 7.37853735174449 \cdot 10^{50} \operatorname{re}{\left(t\right)} - 2.2635212754204 \cdot 10^{51} \operatorname{im}{\left(t\right)} + 2.71239880701756 \cdot 10^{137}\right) \operatorname{im}{\left(t\right)}}{\left(\operatorname{re}{\left(t\right)}\right)^{2} + \left(\operatorname{im}{\left(t\right)}\right)^{2}} + \frac{1.04221197690107 \cdot 10^{-51} \left(2.2635212754204 \cdot 10^{51} \operatorname{re}{\left(t\right)} - 7.37853735174449 \cdot 10^{50} \operatorname{im}{\left(t\right)} + 3.09034320354466 \cdot 10^{136}\right) \operatorname{re}{\left(t\right)}}{\left(\operatorname{re}{\left(t\right)}\right)^{2} + \left(\operatorname{im}{\left(t\right)}\right)^{2}}\right) + \frac{1.04221197690107 \cdot 10^{-51} \left(- 7.37853735174449 \cdot 10^{50} \operatorname{re}{\left(t\right)} - 2.2635212754204 \cdot 10^{51} \operatorname{im}{\left(t\right)} + 2.71239880701756 \cdot 10^{137}\right) \operatorname{re}{\left(t\right)}}{\left(\operatorname{re}{\left(t\right)}\right)^{2} + \left(\operatorname{im}{\left(t\right)}\right)^{2}} + \frac{1.04221197690107 \cdot 10^{-51} \left(2.2635212754204 \cdot 10^{51} \operatorname{re}{\left(t\right)} - 7.37853735174449 \cdot 10^{50} \operatorname{im}{\left(t\right)} + 3.09034320354466 \cdot 10^{136}\right) \operatorname{im}{\left(t\right)}}{\left(\operatorname{re}{\left(t\right)}\right)^{2} + \left(\operatorname{im}{\left(t\right)}\right)^{2}}$$
x1 = i*(-1.04221197690107e-51*(-7.37853735174449e+50*re(t) - 2.2635212754204e+51*im(t) + 2.71239880701756e+137)*im(t)/(re(t)^2 + im(t)^2) + 1.04221197690107e-51*(2.2635212754204e+51*re(t) - 7.37853735174449e+50*im(t) + 3.09034320354466e+136)*re(t)/(re(t)^2 + im(t)^2)) + 1.04221197690107e-51*(-7.37853735174449e+50*re(t) - 2.2635212754204e+51*im(t) + 2.71239880701756e+137)*re(t)/(re(t)^2 + im(t)^2) + 1.04221197690107e-51*(2.2635212754204e+51*re(t) - 7.37853735174449e+50*im(t) + 3.09034320354466e+136)*im(t)/(re(t)^2 + im(t)^2)
Suma y producto de raíces
[src]
suma
/1.04221197690107e-51*(3.09034320354466e+136 + 2.2635212754204e+51*re(t) - 7.37853735174449e+50*im(t))*re(t) 1.04221197690107e-51*(2.71239880701756e+137 - 2.2635212754204e+51*im(t) - 7.37853735174449e+50*re(t))*im(t)\ 1.04221197690107e-51*(2.71239880701756e+137 - 2.2635212754204e+51*im(t) - 7.37853735174449e+50*re(t))*re(t) 1.04221197690107e-51*(3.09034320354466e+136 + 2.2635212754204e+51*re(t) - 7.37853735174449e+50*im(t))*im(t) I*|----------------------------------------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------- | 2 2 2 2 | 2 2 2 2 \ im (t) + re (t) im (t) + re (t) / im (t) + re (t) im (t) + re (t)
$$i \left(- \frac{1.04221197690107 \cdot 10^{-51} \left(- 7.37853735174449 \cdot 10^{50} \operatorname{re}{\left(t\right)} - 2.2635212754204 \cdot 10^{51} \operatorname{im}{\left(t\right)} + 2.71239880701756 \cdot 10^{137}\right) \operatorname{im}{\left(t\right)}}{\left(\operatorname{re}{\left(t\right)}\right)^{2} + \left(\operatorname{im}{\left(t\right)}\right)^{2}} + \frac{1.04221197690107 \cdot 10^{-51} \left(2.2635212754204 \cdot 10^{51} \operatorname{re}{\left(t\right)} - 7.37853735174449 \cdot 10^{50} \operatorname{im}{\left(t\right)} + 3.09034320354466 \cdot 10^{136}\right) \operatorname{re}{\left(t\right)}}{\left(\operatorname{re}{\left(t\right)}\right)^{2} + \left(\operatorname{im}{\left(t\right)}\right)^{2}}\right) + \frac{1.04221197690107 \cdot 10^{-51} \left(- 7.37853735174449 \cdot 10^{50} \operatorname{re}{\left(t\right)} - 2.2635212754204 \cdot 10^{51} \operatorname{im}{\left(t\right)} + 2.71239880701756 \cdot 10^{137}\right) \operatorname{re}{\left(t\right)}}{\left(\operatorname{re}{\left(t\right)}\right)^{2} + \left(\operatorname{im}{\left(t\right)}\right)^{2}} + \frac{1.04221197690107 \cdot 10^{-51} \left(2.2635212754204 \cdot 10^{51} \operatorname{re}{\left(t\right)} - 7.37853735174449 \cdot 10^{50} \operatorname{im}{\left(t\right)} + 3.09034320354466 \cdot 10^{136}\right) \operatorname{im}{\left(t\right)}}{\left(\operatorname{re}{\left(t\right)}\right)^{2} + \left(\operatorname{im}{\left(t\right)}\right)^{2}}$$
=
/1.04221197690107e-51*(3.09034320354466e+136 + 2.2635212754204e+51*re(t) - 7.37853735174449e+50*im(t))*re(t) 1.04221197690107e-51*(2.71239880701756e+137 - 2.2635212754204e+51*im(t) - 7.37853735174449e+50*re(t))*im(t)\ 1.04221197690107e-51*(2.71239880701756e+137 - 2.2635212754204e+51*im(t) - 7.37853735174449e+50*re(t))*re(t) 1.04221197690107e-51*(3.09034320354466e+136 + 2.2635212754204e+51*re(t) - 7.37853735174449e+50*im(t))*im(t) I*|----------------------------------------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------- | 2 2 2 2 | 2 2 2 2 \ im (t) + re (t) im (t) + re (t) / im (t) + re (t) im (t) + re (t)
$$i \left(- \frac{1.04221197690107 \cdot 10^{-51} \left(- 7.37853735174449 \cdot 10^{50} \operatorname{re}{\left(t\right)} - 2.2635212754204 \cdot 10^{51} \operatorname{im}{\left(t\right)} + 2.71239880701756 \cdot 10^{137}\right) \operatorname{im}{\left(t\right)}}{\left(\operatorname{re}{\left(t\right)}\right)^{2} + \left(\operatorname{im}{\left(t\right)}\right)^{2}} + \frac{1.04221197690107 \cdot 10^{-51} \left(2.2635212754204 \cdot 10^{51} \operatorname{re}{\left(t\right)} - 7.37853735174449 \cdot 10^{50} \operatorname{im}{\left(t\right)} + 3.09034320354466 \cdot 10^{136}\right) \operatorname{re}{\left(t\right)}}{\left(\operatorname{re}{\left(t\right)}\right)^{2} + \left(\operatorname{im}{\left(t\right)}\right)^{2}}\right) + \frac{1.04221197690107 \cdot 10^{-51} \left(- 7.37853735174449 \cdot 10^{50} \operatorname{re}{\left(t\right)} - 2.2635212754204 \cdot 10^{51} \operatorname{im}{\left(t\right)} + 2.71239880701756 \cdot 10^{137}\right) \operatorname{re}{\left(t\right)}}{\left(\operatorname{re}{\left(t\right)}\right)^{2} + \left(\operatorname{im}{\left(t\right)}\right)^{2}} + \frac{1.04221197690107 \cdot 10^{-51} \left(2.2635212754204 \cdot 10^{51} \operatorname{re}{\left(t\right)} - 7.37853735174449 \cdot 10^{50} \operatorname{im}{\left(t\right)} + 3.09034320354466 \cdot 10^{136}\right) \operatorname{im}{\left(t\right)}}{\left(\operatorname{re}{\left(t\right)}\right)^{2} + \left(\operatorname{im}{\left(t\right)}\right)^{2}}$$
producto
/1.04221197690107e-51*(3.09034320354466e+136 + 2.2635212754204e+51*re(t) - 7.37853735174449e+50*im(t))*re(t) 1.04221197690107e-51*(2.71239880701756e+137 - 2.2635212754204e+51*im(t) - 7.37853735174449e+50*re(t))*im(t)\ 1.04221197690107e-51*(2.71239880701756e+137 - 2.2635212754204e+51*im(t) - 7.37853735174449e+50*re(t))*re(t) 1.04221197690107e-51*(3.09034320354466e+136 + 2.2635212754204e+51*re(t) - 7.37853735174449e+50*im(t))*im(t) I*|----------------------------------------------------------------------------------------------------------- - -----------------------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------- | 2 2 2 2 | 2 2 2 2 \ im (t) + re (t) im (t) + re (t) / im (t) + re (t) im (t) + re (t)
$$i \left(- \frac{1.04221197690107 \cdot 10^{-51} \left(- 7.37853735174449 \cdot 10^{50} \operatorname{re}{\left(t\right)} - 2.2635212754204 \cdot 10^{51} \operatorname{im}{\left(t\right)} + 2.71239880701756 \cdot 10^{137}\right) \operatorname{im}{\left(t\right)}}{\left(\operatorname{re}{\left(t\right)}\right)^{2} + \left(\operatorname{im}{\left(t\right)}\right)^{2}} + \frac{1.04221197690107 \cdot 10^{-51} \left(2.2635212754204 \cdot 10^{51} \operatorname{re}{\left(t\right)} - 7.37853735174449 \cdot 10^{50} \operatorname{im}{\left(t\right)} + 3.09034320354466 \cdot 10^{136}\right) \operatorname{re}{\left(t\right)}}{\left(\operatorname{re}{\left(t\right)}\right)^{2} + \left(\operatorname{im}{\left(t\right)}\right)^{2}}\right) + \frac{1.04221197690107 \cdot 10^{-51} \left(- 7.37853735174449 \cdot 10^{50} \operatorname{re}{\left(t\right)} - 2.2635212754204 \cdot 10^{51} \operatorname{im}{\left(t\right)} + 2.71239880701756 \cdot 10^{137}\right) \operatorname{re}{\left(t\right)}}{\left(\operatorname{re}{\left(t\right)}\right)^{2} + \left(\operatorname{im}{\left(t\right)}\right)^{2}} + \frac{1.04221197690107 \cdot 10^{-51} \left(2.2635212754204 \cdot 10^{51} \operatorname{re}{\left(t\right)} - 7.37853735174449 \cdot 10^{50} \operatorname{im}{\left(t\right)} + 3.09034320354466 \cdot 10^{136}\right) \operatorname{im}{\left(t\right)}}{\left(\operatorname{re}{\left(t\right)}\right)^{2} + \left(\operatorname{im}{\left(t\right)}\right)^{2}}$$
=
/ 2 2 2 2 \
1.0*\3.22079269946906e+85*im(t) + 2.82689452280588e+86*re(t) - 0.769*im (t) - 0.769*re (t) + 3.22079269946906e+85*I*re(t) + 2.35906898321353*I*im (t) + 2.35906898321353*I*re (t) - 2.82689452280588e+86*I*im(t)/
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
im (t) + re (t)
$$\frac{1.0 \left(- 0.769 \left(\operatorname{re}{\left(t\right)}\right)^{2} + 2.35906898321353 i \left(\operatorname{re}{\left(t\right)}\right)^{2} + 2.82689452280588 \cdot 10^{86} \operatorname{re}{\left(t\right)} + 3.22079269946906 \cdot 10^{85} i \operatorname{re}{\left(t\right)} - 0.769 \left(\operatorname{im}{\left(t\right)}\right)^{2} + 2.35906898321353 i \left(\operatorname{im}{\left(t\right)}\right)^{2} + 3.22079269946906 \cdot 10^{85} \operatorname{im}{\left(t\right)} - 2.82689452280588 \cdot 10^{86} i \operatorname{im}{\left(t\right)}\right)}{\left(\operatorname{re}{\left(t\right)}\right)^{2} + \left(\operatorname{im}{\left(t\right)}\right)^{2}}$$
1.0*(3.22079269946906e+85*im(t) + 2.82689452280588e+86*re(t) - 0.769*im(t)^2 - 0.769*re(t)^2 + 3.22079269946906e+85*i*re(t) + 2.35906898321353*i*im(t)^2 + 2.35906898321353*i*re(t)^2 - 2.82689452280588e+86*i*im(t))/(im(t)^2 + re(t)^2)