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La ecuación:
Ecuación 1/8×(8/9x+8)-0,2×(5/6x+12/3)=2
Ecuación -5+(a-25)=-4
Ecuación z^2+2z+2=0
Ecuación z^2=8+6*i
Expresar {x} en función de y en la ecuación:
-7*x+18*y=20
1*x+16*y=-16
-10*x-20*y=-14
-5*x+9*y=-7
Expresiones idénticas
- nueve ^x+(ocho - nueve *x)* uno / dos ^x= cero
menos 9 en el grado x más (8 menos 9 multiplicar por x) multiplicar por 1 dividir por 2 en el grado x es igual a 0
menos nueve en el grado x más (ocho menos nueve multiplicar por x) multiplicar por uno dividir por dos en el grado x es igual a cero
-9x+(8-9*x)*1/2x=0
-9x+8-9*x*1/2x=0
-9^x+(8-9x)1/2^x=0
-9x+(8-9x)1/2x=0
-9x+8-9x1/2x=0
-9^x+8-9x1/2^x=0
-9^x+(8-9*x)*1/2^x=O
-9^x+(8-9*x)*1 dividir por 2^x=0
Expresiones semejantes
9^x+(8-9*x)*1/2^x=0
-9^x-(8-9*x)*1/2^x=0
-9^x+(8+9*x)*1/2^x=0

-9^x+(8-9x)1/2^x=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

   x              -x    
- 9  + (8 - 9*x)*2   = 0

- 9^{x} + \left(\frac{1}{2}\right)^{x} \left(8 - 9 x\right) = 0

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Suma y producto de raíces [src]

suma

   /   /  9 ________\\                          / /                                     /  9 ________\\\                          / /                                     /  9 ________\\\
   |   |  \/ 559872 ||                          | |/                     11        \    |  \/ 559872 |||                          | |/                     11        \    |  \/ 559872 |||
   |   |  ----------||                          | ||                     --        |    |  ----------|||                          | ||                     --        |    |  ----------|||
   |   |      3     ||   log(11019960576)       | ||9 ____    /pi\       18    /pi\|    |      3     |||   log(11019960576)       | ||9 ____    /pi\       18    /pi\|    |      3     |||
- W\log\18          // + ----------------   - re|W||\/ -1 *cos|--| - (-1)  *sin|--||*log\18          /|| + ----------------   I*im|W||\/ -1 *cos|--| - (-1)  *sin|--||*log\18          /||
                                9               \ \\          \9 /             \9 //                  //          9               \ \\          \9 /             \9 //                  //
----------------------------------------- + ------------------------------------------------------------------------------- - ------------------------------------------------------------
                 log(18)                                                        log(18)                                                                 log(18)

\frac{- W\left(\log{\left(18^{\frac{\sqrt[9]{559872}}{3}} \right)}\right) + \frac{\log{\left(11019960576 \right)}}{9}}{\log{\left(18 \right)}} + \left(\frac{- \operatorname{re}{\left(W\left(\left(- \left(-1\right)^{\frac{11}{18}} \sin{\left(\frac{\pi}{9} \right)} + \sqrt[9]{-1} \cos{\left(\frac{\pi}{9} \right)}\right) \log{\left(18^{\frac{\sqrt[9]{559872}}{3}} \right)}\right)\right)} + \frac{\log{\left(11019960576 \right)}}{9}}{\log{\left(18 \right)}} - \frac{i \operatorname{im}{\left(W\left(\left(- \left(-1\right)^{\frac{11}{18}} \sin{\left(\frac{\pi}{9} \right)} + \sqrt[9]{-1} \cos{\left(\frac{\pi}{9} \right)}\right) \log{\left(18^{\frac{\sqrt[9]{559872}}{3}} \right)}\right)\right)}}{\log{\left(18 \right)}}\right)

   /   /  9 ________\\                          / /                                     /  9 ________\\\                          / /                                     /  9 ________\\\
   |   |  \/ 559872 ||                          | |/                     11        \    |  \/ 559872 |||                          | |/                     11        \    |  \/ 559872 |||
   |   |  ----------||                          | ||                     --        |    |  ----------|||                          | ||                     --        |    |  ----------|||
   |   |      3     ||   log(11019960576)       | ||9 ____    /pi\       18    /pi\|    |      3     |||   log(11019960576)       | ||9 ____    /pi\       18    /pi\|    |      3     |||
- W\log\18          // + ----------------   - re|W||\/ -1 *cos|--| - (-1)  *sin|--||*log\18          /|| + ----------------   I*im|W||\/ -1 *cos|--| - (-1)  *sin|--||*log\18          /||
                                9               \ \\          \9 /             \9 //                  //          9               \ \\          \9 /             \9 //                  //
----------------------------------------- + ------------------------------------------------------------------------------- - ------------------------------------------------------------
                 log(18)                                                        log(18)                                                                 log(18)

\frac{- W\left(\log{\left(18^{\frac{\sqrt[9]{559872}}{3}} \right)}\right) + \frac{\log{\left(11019960576 \right)}}{9}}{\log{\left(18 \right)}} + \frac{- \operatorname{re}{\left(W\left(\left(- \left(-1\right)^{\frac{11}{18}} \sin{\left(\frac{\pi}{9} \right)} + \sqrt[9]{-1} \cos{\left(\frac{\pi}{9} \right)}\right) \log{\left(18^{\frac{\sqrt[9]{559872}}{3}} \right)}\right)\right)} + \frac{\log{\left(11019960576 \right)}}{9}}{\log{\left(18 \right)}} - \frac{i \operatorname{im}{\left(W\left(\left(- \left(-1\right)^{\frac{11}{18}} \sin{\left(\frac{\pi}{9} \right)} + \sqrt[9]{-1} \cos{\left(\frac{\pi}{9} \right)}\right) \log{\left(18^{\frac{\sqrt[9]{559872}}{3}} \right)}\right)\right)}}{\log{\left(18 \right)}}

producto

   /   /  9 ________\\                    /    / /                                     /  9 ________\\\                          / /                                     /  9 ________\\\\
   |   |  \/ 559872 ||                    |    | |/                     11        \    |  \/ 559872 |||                          | |/                     11        \    |  \/ 559872 ||||
   |   |  ----------||                    |    | ||                     --        |    |  ----------|||                          | ||                     --        |    |  ----------||||
   |   |      3     ||   log(11019960576) |    | ||9 ____    /pi\       18    /pi\|    |      3     |||   log(11019960576)       | ||9 ____    /pi\       18    /pi\|    |      3     ||||
- W\log\18          // + ---------------- |- re|W||\/ -1 *cos|--| - (-1)  *sin|--||*log\18          /|| + ----------------   I*im|W||\/ -1 *cos|--| - (-1)  *sin|--||*log\18          /|||
                                9         |    \ \\          \9 /             \9 //                  //          9               \ \\          \9 /             \9 //                  //|
-----------------------------------------*|------------------------------------------------------------------------------- - ------------------------------------------------------------|
                 log(18)                  \                                    log(18)                                                                 log(18)                           /

\frac{- W\left(\log{\left(18^{\frac{\sqrt[9]{559872}}{3}} \right)}\right) + \frac{\log{\left(11019960576 \right)}}{9}}{\log{\left(18 \right)}} \left(\frac{- \operatorname{re}{\left(W\left(\left(- \left(-1\right)^{\frac{11}{18}} \sin{\left(\frac{\pi}{9} \right)} + \sqrt[9]{-1} \cos{\left(\frac{\pi}{9} \right)}\right) \log{\left(18^{\frac{\sqrt[9]{559872}}{3}} \right)}\right)\right)} + \frac{\log{\left(11019960576 \right)}}{9}}{\log{\left(18 \right)}} - \frac{i \operatorname{im}{\left(W\left(\left(- \left(-1\right)^{\frac{11}{18}} \sin{\left(\frac{\pi}{9} \right)} + \sqrt[9]{-1} \cos{\left(\frac{\pi}{9} \right)}\right) \log{\left(18^{\frac{\sqrt[9]{559872}}{3}} \right)}\right)\right)}}{\log{\left(18 \right)}}\right)

/     /   /  9 ________\\                   \ /      / /                                     /  9 ________\\\         / /                                     /  9 ________\\\                   \
|     |   |  \/ 559872 ||                   | |      | |/                     11        \    |  \/ 559872 |||         | |/                     11        \    |  \/ 559872 |||                   |
|     |   |  ----------||                   | |      | ||                     --        |    |  ----------|||         | ||                     --        |    |  ----------|||                   |
|     |   |      3     ||                   | |      | ||9 ____    /pi\       18    /pi\|    |      3     |||         | ||9 ____    /pi\       18    /pi\|    |      3     |||                   |
\- 9*W\log\18          // + log(11019960576)/*|- 9*re|W||\/ -1 *cos|--| - (-1)  *sin|--||*log\18          /|| - 9*I*im|W||\/ -1 *cos|--| - (-1)  *sin|--||*log\18          /|| + log(11019960576)|
                                              \      \ \\          \9 /             \9 //                  //         \ \\          \9 /             \9 //                  //                   /
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                 2                                                                                                
                                                                                           81*log (18)

\frac{\left(- 9 W\left(\log{\left(18^{\frac{\sqrt[9]{559872}}{3}} \right)}\right) + \log{\left(11019960576 \right)}\right) \left(- 9 \operatorname{re}{\left(W\left(\left(- \left(-1\right)^{\frac{11}{18}} \sin{\left(\frac{\pi}{9} \right)} + \sqrt[9]{-1} \cos{\left(\frac{\pi}{9} \right)}\right) \log{\left(18^{\frac{\sqrt[9]{559872}}{3}} \right)}\right)\right)} + \log{\left(11019960576 \right)} - 9 i \operatorname{im}{\left(W\left(\left(- \left(-1\right)^{\frac{11}{18}} \sin{\left(\frac{\pi}{9} \right)} + \sqrt[9]{-1} \cos{\left(\frac{\pi}{9} \right)}\right) \log{\left(18^{\frac{\sqrt[9]{559872}}{3}} \right)}\right)\right)}\right)}{81 \log{\left(18 \right)}^{2}}

(-9*LambertW(log(18^(559872^(1/9)/3))) + log(11019960576))*(-9*re(LambertW(((-1)^(1/9)*cos(pi/9) - (-1)^(11/18)*sin(pi/9))*log(18^(559872^(1/9)/3)))) - 9*i*im(LambertW(((-1)^(1/9)*cos(pi/9) - (-1)^(11/18)*sin(pi/9))*log(18^(559872^(1/9)/3)))) + log(11019960576))/(81*log(18)^2)

Respuesta numérica [src]

x1 = 0.464031369002822

x1 = 0.464031369002822

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Expresiones idénticas

Expresiones semejantes

-9^x+(8-9*x)*1/2^x=0 la ecuación

Solución numérica:

Solución

-9^x+(8-9x)1/2^x=0 la ecuación