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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:

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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               /          
$$\sqrt{\frac{\left(1.0 \cdot 10^{-9} \cdot 1000 \frac{15 x}{2}\right)^{2} + 1}{\left(1.0 \cdot 10^{-9} \cdot 1000 \frac{15 \cdot 4 x}{2}\right)^{2} + \left(1 - \left(1.0 \cdot 10^{-9} \cdot 1000 \frac{15 x}{2}\right)^{2}\right)^{2}}} = \frac{1}{\sqrt{2}}$$
Gráfica
Respuesta rápida [src]
x1 = -38357.9701231485
$$x_{1} = -38357.9701231485$$
x2 = 38357.9701231485
$$x_{2} = 38357.9701231485$$
x3 = -463470.244142277*I
$$x_{3} = - 463470.244142277 i$$
x4 = 463470.244142277*I
$$x_{4} = 463470.244142277 i$$
x4 = 463470.244142277*i
Suma y producto de raíces [src]
suma
-38357.9701231485 + 38357.9701231485 - 463470.244142277*I + 463470.244142277*I
$$\left(\left(-38357.9701231485 + 38357.9701231485\right) - 463470.244142277 i\right) + 463470.244142277 i$$
=
0
$$0$$
producto
-38357.9701231485*38357.9701231485*-463470.244142277*I*463470.244142277*I
$$463470.244142277 i - 38357.9701231485 \cdot 38357.9701231485 \left(- 463470.244142277 i\right)$$
=
-3.16049382716049e+20
$$-3.16049382716049 \cdot 10^{20}$$
-3.16049382716049e+20
Respuesta numérica [src]
x1 = -38357.9701231485
x2 = 38357.9701231485
x3 = -463470.244142277*i
x4 = 463470.244142277*i
x4 = 463470.244142277*i