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4^(sqrt(x)+1,5)-13*2^((x-1)/(sqrt(x)-1))+20=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
                   x - 1           
   ___   3       ---------         
 \/ x  + -         ___             
         2       \/ x  - 1         
4          - 13*2          + 20 = 0
$$\left(- 13 \cdot 2^{\frac{x - 1}{\sqrt{x} - 1}} + 4^{\sqrt{x} + \frac{3}{2}}\right) + 20 = 0$$
Gráfica
Respuesta numérica [src]
x1 = 0.103637698277807
x2 = 0.999999999999912
x3 = -82.0655161226175 - 5.83637626320738*i
x4 = 1.00000000000014
x5 = 1.00000000000013
x6 = 0.999999999999948
x7 = 0.999999999999872
x8 = 0.999999999999991 + 1.00513138155283e-13*i
x9 = 0.999999999999995
x10 = 0.999999999999949
x11 = 0.99999999999993
x12 = 0.999999999999998
x13 = 0.999999999999999 - 2.5333593391613e-16*i
x14 = 0.999999999999928
x15 = 0.999999999999949
x16 = 0.999999999999999
x17 = 1.0
x18 = 0.999999999999917
x19 = 0.999999999999821
x20 = -82.0655161226175 + 5.83637626320738*i
x21 = 1.0
x22 = 0.999999999999844
x23 = 0.999999999999899
x23 = 0.999999999999899