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- La ecuación:
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Ecuación 9-7(x+3)=5-6x
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Ecuación 2x-4=8+2x
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Ecuación 2,4(x+0,98)=4,08
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Ecuación 7x=-30+2x
- Expresar {x} en función de y en la ecuación:
- 4*x+8*y=7
- -1*x+4*y=-10
- -16*x+10*y=-11
- 15*x+12*y=-19
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Expresiones idénticas
- tres ^(dos *x)- cinco *x+ dos = cero
- 3 en el grado (2 multiplicar por x) menos 5 multiplicar por x más 2 es igual a 0
- tres en el grado (dos multiplicar por x) menos cinco multiplicar por x más dos es igual a cero
- 3(2*x)-5*x+2=0
- 32*x-5*x+2=0
- 3^(2x)-5x+2=0
- 3(2x)-5x+2=0
- 32x-5x+2=0
- 3^2x-5x+2=0
- 3^(2*x)-5*x+2=O
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Expresiones semejantes
- 3^(2*x)+5*x+2=0
- 3^(2*x)-5*x-2=0
3^(2*x)-5*x+2=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Suma y producto de raíces
[src]
suma
/ / / 4/5\\\ / / / 4/5\\\
| | | 2*3 ||| | | | 2*3 |||
| | | ------||| | | | ------|||
| | | 5 ||| | | | 5 |||
- 5*re\W\-log\3 /// + log(81) I*im\W\-log\3 ///
---------------------------------- - ----------------------
10*log(3) 2*log(3)
$$\frac{- 5 \operatorname{re}{\left(W\left(- \log{\left(3^{\frac{2 \cdot 3^{\frac{4}{5}}}{5}} \right)}\right)\right)} + \log{\left(81 \right)}}{10 \log{\left(3 \right)}} - \frac{i \operatorname{im}{\left(W\left(- \log{\left(3^{\frac{2 \cdot 3^{\frac{4}{5}}}{5}} \right)}\right)\right)}}{2 \log{\left(3 \right)}}$$
=
/ / / 4/5\\\ / / / 4/5\\\
| | | 2*3 ||| | | | 2*3 |||
| | | ------||| | | | ------|||
| | | 5 ||| | | | 5 |||
- 5*re\W\-log\3 /// + log(81) I*im\W\-log\3 ///
---------------------------------- - ----------------------
10*log(3) 2*log(3)
$$\frac{- 5 \operatorname{re}{\left(W\left(- \log{\left(3^{\frac{2 \cdot 3^{\frac{4}{5}}}{5}} \right)}\right)\right)} + \log{\left(81 \right)}}{10 \log{\left(3 \right)}} - \frac{i \operatorname{im}{\left(W\left(- \log{\left(3^{\frac{2 \cdot 3^{\frac{4}{5}}}{5}} \right)}\right)\right)}}{2 \log{\left(3 \right)}}$$
producto
/ / / 4/5\\\ / / / 4/5\\\
| | | 2*3 ||| | | | 2*3 |||
| | | ------||| | | | ------|||
| | | 5 ||| | | | 5 |||
- 5*re\W\-log\3 /// + log(81) I*im\W\-log\3 ///
---------------------------------- - ----------------------
10*log(3) 2*log(3)
$$\frac{- 5 \operatorname{re}{\left(W\left(- \log{\left(3^{\frac{2 \cdot 3^{\frac{4}{5}}}{5}} \right)}\right)\right)} + \log{\left(81 \right)}}{10 \log{\left(3 \right)}} - \frac{i \operatorname{im}{\left(W\left(- \log{\left(3^{\frac{2 \cdot 3^{\frac{4}{5}}}{5}} \right)}\right)\right)}}{2 \log{\left(3 \right)}}$$
=
/ / / 4/5\\\ / / / 4/5\\\
| | | 2*3 ||| | | | 2*3 |||
| | | ------||| | | | ------|||
| | | 5 ||| | | | 5 |||
- 5*re\W\-log\3 /// - 5*I*im\W\-log\3 /// + log(81)
-------------------------------------------------------------
10*log(3)
$$\frac{- 5 \operatorname{re}{\left(W\left(- \log{\left(3^{\frac{2 \cdot 3^{\frac{4}{5}}}{5}} \right)}\right)\right)} + \log{\left(81 \right)} - 5 i \operatorname{im}{\left(W\left(- \log{\left(3^{\frac{2 \cdot 3^{\frac{4}{5}}}{5}} \right)}\right)\right)}}{10 \log{\left(3 \right)}}$$
(-5*re(LambertW(-log(3^(2*3^(4/5)/5)))) - 5*i*im(LambertW(-log(3^(2*3^(4/5)/5)))) + log(81))/(10*log(3))
Respuesta rápida
[src]
/ / / 4/5\\\ / / / 4/5\\\
| | | 2*3 ||| | | | 2*3 |||
| | | ------||| | | | ------|||
| | | 5 ||| | | | 5 |||
- 5*re\W\-log\3 /// + log(81) I*im\W\-log\3 ///
x1 = ---------------------------------- - ----------------------
10*log(3) 2*log(3)
$$x_{1} = \frac{- 5 \operatorname{re}{\left(W\left(- \log{\left(3^{\frac{2 \cdot 3^{\frac{4}{5}}}{5}} \right)}\right)\right)} + \log{\left(81 \right)}}{10 \log{\left(3 \right)}} - \frac{i \operatorname{im}{\left(W\left(- \log{\left(3^{\frac{2 \cdot 3^{\frac{4}{5}}}{5}} \right)}\right)\right)}}{2 \log{\left(3 \right)}}$$
x1 = (-5*re(LambertW(-log(3^(2*3^(4/5)/5)))) + log(81))/(10*log(3)) - i*im(LambertW(-log(3^(2*3^(4/5)/5))))/(2*log(3))
Respuesta numérica
[src]
x1 = 0.52678594236718 - 0.623614887971211*i
x1 = 0.52678594236718 - 0.623614887971211*i