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- La ecuación:
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Ecuación x^3+3x^2-x-3=0
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Ecuación (x+9)^2=36*x
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Ecuación x^3-6x^2+11x-6=0
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Ecuación a+120=2000/5
- Expresar {x} en función de y en la ecuación:
- -6*x-12*y=9
- 9*x-1*y=17
- 10*x-2*y=11
- 12*x-3*y=-2
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Expresiones idénticas
- cero , ocho ^x= cinco ^ uno -2x
- 0,008 en el grado x es igual a 5 en el grado 1 menos 2x
- cero , ocho en el grado x es igual a cinco en el grado uno menos 2x
- 0,008x=51-2x
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Expresiones semejantes
- 0,008^x=5^1+2x
0,008^x=5^1-2x la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Suma y producto de raíces
[src]
suma
/ / ___\\ / / ___\ \
| | 3*\/ 5 || | | 3*\/ 5 | |
| | -------|| | | -------| |
| | 781250|| | | 781250| |
2*W\-log\5 // + log(30517578125) 2*W\-log\5 /, -1/ + log(30517578125)
-------------------------------------- + ------------------------------------------
6*log(5) 6*log(5)
$$\frac{2 W_{-1}\left(- \log{\left(5^{\frac{3 \sqrt{5}}{781250}} \right)}\right) + \log{\left(30517578125 \right)}}{6 \log{\left(5 \right)}} + \frac{2 W\left(- \log{\left(5^{\frac{3 \sqrt{5}}{781250}} \right)}\right) + \log{\left(30517578125 \right)}}{6 \log{\left(5 \right)}}$$
=
/ / ___\\ / / ___\ \
| | 3*\/ 5 || | | 3*\/ 5 | |
| | -------|| | | -------| |
| | 781250|| | | 781250| |
2*W\-log\5 // + log(30517578125) 2*W\-log\5 /, -1/ + log(30517578125)
-------------------------------------- + ------------------------------------------
6*log(5) 6*log(5)
$$\frac{2 W_{-1}\left(- \log{\left(5^{\frac{3 \sqrt{5}}{781250}} \right)}\right) + \log{\left(30517578125 \right)}}{6 \log{\left(5 \right)}} + \frac{2 W\left(- \log{\left(5^{\frac{3 \sqrt{5}}{781250}} \right)}\right) + \log{\left(30517578125 \right)}}{6 \log{\left(5 \right)}}$$
producto
/ / ___\\ / / ___\ \
| | 3*\/ 5 || | | 3*\/ 5 | |
| | -------|| | | -------| |
| | 781250|| | | 781250| |
2*W\-log\5 // + log(30517578125) 2*W\-log\5 /, -1/ + log(30517578125)
--------------------------------------*------------------------------------------
6*log(5) 6*log(5)
$$\frac{2 W\left(- \log{\left(5^{\frac{3 \sqrt{5}}{781250}} \right)}\right) + \log{\left(30517578125 \right)}}{6 \log{\left(5 \right)}} \frac{2 W_{-1}\left(- \log{\left(5^{\frac{3 \sqrt{5}}{781250}} \right)}\right) + \log{\left(30517578125 \right)}}{6 \log{\left(5 \right)}}$$
=
/ / / ___\\ \ / / / ___\ \ \
| | | 3*\/ 5 || | | | | 3*\/ 5 | | |
| | | -------|| | | | | -------| | |
| | | 781250|| | | | | 781250| | |
\2*W\-log\5 // + log(30517578125)/*\2*W\-log\5 /, -1/ + log(30517578125)/
-------------------------------------------------------------------------------------
2
36*log (5)
$$\frac{\left(2 W\left(- \log{\left(5^{\frac{3 \sqrt{5}}{781250}} \right)}\right) + \log{\left(30517578125 \right)}\right) \left(2 W_{-1}\left(- \log{\left(5^{\frac{3 \sqrt{5}}{781250}} \right)}\right) + \log{\left(30517578125 \right)}\right)}{36 \log{\left(5 \right)}^{2}}$$
(2*LambertW(-log(5^(3*sqrt(5)/781250))) + log(30517578125))*(2*LambertW(-log(5^(3*sqrt(5)/781250)), -1) + log(30517578125))/(36*log(5)^2)
Respuesta rápida
[src]
/ / ___\\
| | 3*\/ 5 ||
| | -------||
| | 781250||
2*W\-log\5 // + log(30517578125)
x1 = --------------------------------------
6*log(5)
$$x_{1} = \frac{2 W\left(- \log{\left(5^{\frac{3 \sqrt{5}}{781250}} \right)}\right) + \log{\left(30517578125 \right)}}{6 \log{\left(5 \right)}}$$
/ / ___\ \
| | 3*\/ 5 | |
| | -------| |
| | 781250| |
2*W\-log\5 /, -1/ + log(30517578125)
x2 = ------------------------------------------
6*log(5)
$$x_{2} = \frac{2 W_{-1}\left(- \log{\left(5^{\frac{3 \sqrt{5}}{781250}} \right)}\right) + \log{\left(30517578125 \right)}}{6 \log{\left(5 \right)}}$$
x2 = (2*LambertW(-log(5^(3*sqrt(5)/781250), -1) + log(30517578125))/(6*log(5)))