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1/sqrt(2)+3/2+5/(2*sqrt(2))+2*n-1/(sqrt(2)^n) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
  1     3      5              1       
----- + - + ------- + 2*n - ------ = 0
  ___   2       ___              n    
\/ 2        2*\/ 2            ___     
                            \/ 2
(2n+(522+(12+32)))−1(2)n=0\left(2 n + \left(\frac{5}{2 \sqrt{2}} + \left(\frac{1}{\sqrt{2}} + \frac{3}{2}\right)\right)\right) - \frac{1}{\left(\sqrt{2}\right)^{n}} = 0
Simplificar
Gráfica
-15.0-12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.5-100100
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
         /            ___       \                       
         |   13   7*\/ 2        |                       
         | - -- + -------       |                       
         |   8       16         |   /        ___\       
     16*W\2              *log(2)/ - \6 + 7*\/ 2 /*log(2)
n1 = ---------------------------------------------------
                           8*log(2)
n1=−(6+72)log⁡(2)+16W(log⁡(2)2138−7216)8log⁡(2)n_{1} = \frac{- \left(6 + 7 \sqrt{2}\right) \log{\left(2 \right)} + 16 W\left(\frac{\log{\left(2 \right)}}{2^{\frac{13}{8} - \frac{7 \sqrt{2}}{16}}}\right)}{8 \log{\left(2 \right)}} 
n1 = (-(6 + 7*sqrt(2))*log(2) + 16*LambertW(2^(-13/8 + 7*sqrt(2)/16)*log(2)))/(8*log(2))
Suma y producto de raíces [src] 
suma
    /            ___       \                       
    |   13   7*\/ 2        |                       
    | - -- + -------       |                       
    |   8       16         |   /        ___\       
16*W\2              *log(2)/ - \6 + 7*\/ 2 /*log(2)
---------------------------------------------------
                      8*log(2)
−(6+72)log⁡(2)+16W(log⁡(2)2138−7216)8log⁡(2)\frac{- \left(6 + 7 \sqrt{2}\right) \log{\left(2 \right)} + 16 W\left(\frac{\log{\left(2 \right)}}{2^{\frac{13}{8} - \frac{7 \sqrt{2}}{16}}}\right)}{8 \log{\left(2 \right)}} 
=
    /            ___       \                       
    |   13   7*\/ 2        |                       
    | - -- + -------       |                       
    |   8       16         |   /        ___\       
16*W\2              *log(2)/ - \6 + 7*\/ 2 /*log(2)
---------------------------------------------------
                      8*log(2)
−(6+72)log⁡(2)+16W(log⁡(2)2138−7216)8log⁡(2)\frac{- \left(6 + 7 \sqrt{2}\right) \log{\left(2 \right)} + 16 W\left(\frac{\log{\left(2 \right)}}{2^{\frac{13}{8} - \frac{7 \sqrt{2}}{16}}}\right)}{8 \log{\left(2 \right)}} 
producto
    /            ___       \                       
    |   13   7*\/ 2        |                       
    | - -- + -------       |                       
    |   8       16         |   /        ___\       
16*W\2              *log(2)/ - \6 + 7*\/ 2 /*log(2)
---------------------------------------------------
                      8*log(2)
−(6+72)log⁡(2)+16W(log⁡(2)2138−7216)8log⁡(2)\frac{- \left(6 + 7 \sqrt{2}\right) \log{\left(2 \right)} + 16 W\left(\frac{\log{\left(2 \right)}}{2^{\frac{13}{8} - \frac{7 \sqrt{2}}{16}}}\right)}{8 \log{\left(2 \right)}} 
=
    /            ___       \                       
    |   13   7*\/ 2        |                       
    | - -- + -------       |                       
    |   8       16         |   /        ___\       
16*W\2              *log(2)/ - \6 + 7*\/ 2 /*log(2)
---------------------------------------------------
                      8*log(2)
−(6+72)log⁡(2)+16W(log⁡(2)2138−7216)8log⁡(2)\frac{- \left(6 + 7 \sqrt{2}\right) \log{\left(2 \right)} + 16 W\left(\frac{\log{\left(2 \right)}}{2^{\frac{13}{8} - \frac{7 \sqrt{2}}{16}}}\right)}{8 \log{\left(2 \right)}} 
(16*LambertW(2^(-13/8 + 7*sqrt(2)/16)*log(2)) - (6 + 7*sqrt(2))*log(2))/(8*log(2))
Respuesta numérica [src] 
n1 = -1.22340592876174
n1 = -1.22340592876174
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