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- La ecuación:
-
Ecuación x=(x+1)/2
- Ecuación (x-6)(-5x-9)=0
-
Ecuación x^2-14*x+33=0
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Ecuación x^2+6=5x
- Expresar {x} en función de y en la ecuación:
- -13*x-19*y=17
- -9*x-12*y=-19
- -17*x-12*y=-9
- -8*x+3*y=-4
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Expresiones idénticas
- cinco ^(((x+ tres)/ cinco))*(x- uno)= veinticinco ^(x- uno)
- 5 en el grado (((x más 3) dividir por 5)) multiplicar por (x menos 1) es igual a 25 en el grado (x menos 1)
- cinco en el grado (((x más tres) dividir por cinco)) multiplicar por (x menos uno) es igual a veinticinco en el grado (x menos uno)
- 5(((x+3)/5))*(x-1)=25(x-1)
- 5x+3/5*x-1=25x-1
- 5^(((x+3)/5))(x-1)=25^(x-1)
- 5(((x+3)/5))(x-1)=25(x-1)
- 5x+3/5x-1=25x-1
- 5^x+3/5x-1=25^x-1
- 5^(((x+3) dividir por 5))*(x-1)=25^(x-1)
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Expresiones semejantes
- 5^(((x-3)/5))*(x-1)=25^(x-1)
- 5^(((x+3)/5))*(x-1)=25^(x+1)
- 5^(((x+3)/5))*(x+1)=25^(x-1)
5^(((x+3)/5))*(x-1)=25^(x-1) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
x + 3 ----- 5 x - 1 5 *(x - 1) = 25
$$5^{\frac{x + 3}{5}} \left(x - 1\right) = 25^{x - 1}$$
Respuesta rápida
[src]
/ / / 5 ___\\\ / / / 5 ___\\\
| | | 9*\/ 5 ||| | | | 9*\/ 5 |||
| | | -------||| | | | -------|||
| | | 25 ||| | | | 25 |||
- 5*re\W\-log\5 /// + log(1953125) 5*I*im\W\-log\5 ///
x1 = ---------------------------------------- - -------------------------
9*log(5) 9*log(5)
$$x_{1} = \frac{- 5 \operatorname{re}{\left(W\left(- \log{\left(5^{\frac{9 \sqrt[5]{5}}{25}} \right)}\right)\right)} + \log{\left(1953125 \right)}}{9 \log{\left(5 \right)}} - \frac{5 i \operatorname{im}{\left(W\left(- \log{\left(5^{\frac{9 \sqrt[5]{5}}{25}} \right)}\right)\right)}}{9 \log{\left(5 \right)}}$$
x1 = (-5*re(LambertW(-log(5^(9*5^(1/5)/25)))) + log(1953125))/(9*log(5)) - 5*i*im(LambertW(-log(5^(9*5^(1/5)/25))))/(9*log(5))
Suma y producto de raíces
[src]
suma
/ / / 5 ___\\\ / / / 5 ___\\\
| | | 9*\/ 5 ||| | | | 9*\/ 5 |||
| | | -------||| | | | -------|||
| | | 25 ||| | | | 25 |||
- 5*re\W\-log\5 /// + log(1953125) 5*I*im\W\-log\5 ///
---------------------------------------- - -------------------------
9*log(5) 9*log(5)
$$\frac{- 5 \operatorname{re}{\left(W\left(- \log{\left(5^{\frac{9 \sqrt[5]{5}}{25}} \right)}\right)\right)} + \log{\left(1953125 \right)}}{9 \log{\left(5 \right)}} - \frac{5 i \operatorname{im}{\left(W\left(- \log{\left(5^{\frac{9 \sqrt[5]{5}}{25}} \right)}\right)\right)}}{9 \log{\left(5 \right)}}$$
=
/ / / 5 ___\\\ / / / 5 ___\\\
| | | 9*\/ 5 ||| | | | 9*\/ 5 |||
| | | -------||| | | | -------|||
| | | 25 ||| | | | 25 |||
- 5*re\W\-log\5 /// + log(1953125) 5*I*im\W\-log\5 ///
---------------------------------------- - -------------------------
9*log(5) 9*log(5)
$$\frac{- 5 \operatorname{re}{\left(W\left(- \log{\left(5^{\frac{9 \sqrt[5]{5}}{25}} \right)}\right)\right)} + \log{\left(1953125 \right)}}{9 \log{\left(5 \right)}} - \frac{5 i \operatorname{im}{\left(W\left(- \log{\left(5^{\frac{9 \sqrt[5]{5}}{25}} \right)}\right)\right)}}{9 \log{\left(5 \right)}}$$
producto
/ / / 5 ___\\\ / / / 5 ___\\\
| | | 9*\/ 5 ||| | | | 9*\/ 5 |||
| | | -------||| | | | -------|||
| | | 25 ||| | | | 25 |||
- 5*re\W\-log\5 /// + log(1953125) 5*I*im\W\-log\5 ///
---------------------------------------- - -------------------------
9*log(5) 9*log(5)
$$\frac{- 5 \operatorname{re}{\left(W\left(- \log{\left(5^{\frac{9 \sqrt[5]{5}}{25}} \right)}\right)\right)} + \log{\left(1953125 \right)}}{9 \log{\left(5 \right)}} - \frac{5 i \operatorname{im}{\left(W\left(- \log{\left(5^{\frac{9 \sqrt[5]{5}}{25}} \right)}\right)\right)}}{9 \log{\left(5 \right)}}$$
=
/ / / 5 ___\\\ / / / 5 ___\\\
| | | 9*\/ 5 ||| | | | 9*\/ 5 |||
| | | -------||| | | | -------|||
| | | 25 ||| | | | 25 |||
- 5*re\W\-log\5 /// - 5*I*im\W\-log\5 /// + log(1953125)
--------------------------------------------------------------------
9*log(5)
$$\frac{- 5 \operatorname{re}{\left(W\left(- \log{\left(5^{\frac{9 \sqrt[5]{5}}{25}} \right)}\right)\right)} + \log{\left(1953125 \right)} - 5 i \operatorname{im}{\left(W\left(- \log{\left(5^{\frac{9 \sqrt[5]{5}}{25}} \right)}\right)\right)}}{9 \log{\left(5 \right)}}$$
(-5*re(LambertW(-log(5^(9*5^(1/5)/25)))) - 5*i*im(LambertW(-log(5^(9*5^(1/5)/25)))) + log(1953125))/(9*log(5))
Respuesta numérica
[src]
x1 = -117.850220380282
x2 = -154.926561800384
x3 = -135.313293207641
x4 = -139.222621242398
x5 = -110.191641614451
x6 = -145.100402041681
x7 = -127.521813272248
x8 = -156.895532461536
x9 = -164.781756275683
x10 = -133.361781598724
x11 = -121.708019792128
x12 = -115.927765218656
x13 = -147.062890112852
x14 = -125.580661075418
x15 = -119.777099963294
x16 = -150.99214188786
x17 = -143.139459523467
x18 = -129.465857302528
x19 = -104.515582124946
x20 = -149.026831648178
x21 = -141.180162805724
x22 = -112.097938773519
x23 = -152.958742672364
x24 = -158.865592733687
x25 = -123.642640518555
x26 = -114.010171470384
x27 = -137.26695438011
x28 = -108.291944623406
x29 = -102.640900297937
x30 = -106.399621953443
x31 = -166.755638887548
x32 = -162.808756232975
x33 = -160.836685136361
x34 = -131.41257798477
x34 = -131.41257798477