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sqrt((1+(x*7.5*(10^3)*1*(10^(-9)))^2)/((1-(x*7.5*(10^3)*1*(10^(-9)))^2)^2+(4*x*7.5*(10^3)*1*(10^(-9)))^2))=1/(sqrt(2)) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
           ____________________________________________________        
          /                                    2                       
         /                   /x*15            \                        
        /                1 + |----*1000*1.0e-9|                        
       /                     \ 2              /                     1  
      /     --------------------------------------------------  = -----
     /                               2                              ___
    /       /                      2\                        2    \/ 2 
   /        |    /x*15            \ |    /4*x*15            \          
  /         |1 - |----*1000*1.0e-9| |  + |------*1000*1.0e-9|          
\/          \    \ 2              / /    \  2               /          
(1.0109100015x2)2+1(1.01091000154x2)2+(1(1.0109100015x2)2)2=12\sqrt{\frac{\left(1.0 \cdot 10^{-9} \cdot 1000 \frac{15 x}{2}\right)^{2} + 1}{\left(1.0 \cdot 10^{-9} \cdot 1000 \frac{15 \cdot 4 x}{2}\right)^{2} + \left(1 - \left(1.0 \cdot 10^{-9} \cdot 1000 \frac{15 x}{2}\right)^{2}\right)^{2}}} = \frac{1}{\sqrt{2}}
Gráfica
0-50000-40000-30000-20000-1000010000200003000040000500000.51.5
Respuesta rápida [src]
x1 = -38357.9701231485
x1=38357.9701231485x_{1} = -38357.9701231485
x2 = 38357.9701231485
x2=38357.9701231485x_{2} = 38357.9701231485
x3 = -463470.244142277*I
x3=463470.244142277ix_{3} = - 463470.244142277 i
x4 = 463470.244142277*I
x4=463470.244142277ix_{4} = 463470.244142277 i
x4 = 463470.244142277*i
Suma y producto de raíces [src]
suma
-38357.9701231485 + 38357.9701231485 - 463470.244142277*I + 463470.244142277*I
((38357.9701231485+38357.9701231485)463470.244142277i)+463470.244142277i\left(\left(-38357.9701231485 + 38357.9701231485\right) - 463470.244142277 i\right) + 463470.244142277 i
=
0
00
producto
-38357.9701231485*38357.9701231485*-463470.244142277*I*463470.244142277*I
463470.244142277i38357.970123148538357.9701231485(463470.244142277i)463470.244142277 i - 38357.9701231485 \cdot 38357.9701231485 \left(- 463470.244142277 i\right)
=
-3.16049382716049e+20
3.160493827160491020-3.16049382716049 \cdot 10^{20}
-3.16049382716049e+20
Respuesta numérica [src]
x1 = -38357.9701231485
x2 = 38357.9701231485
x3 = -463470.244142277*i
x4 = 463470.244142277*i
x4 = 463470.244142277*i