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(-5-(83.34^(2)*22.806^(2))/(24*23*10^(-6)*37440.1^(2))+(37440.1)/(23*10^(-6)*61.8*10^(9)*117*10^(-6)))+(83.34^(2)*3.235^(2))/(24*23*10^(-6)*x^(2))-(x)/(23*10^(-6)*61.8*10^(9)*117*10^(-6))=-15 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
            2        2                                                2      2                                         
      /4167\  /11403\                                           /4167\  /647\                                          
      |----| *|-----|                                           |----| *|---|                                          
      \ 50 /  \ 500 /                    374401                 \ 50 /  \200/                   x                      
-5 - ------------------ + ----------------------------------- + -------------- - -------------------------------- = -15
                      2      309*2.3e-5                                    2     309*2.3e-5                            
              /374401\    10*----------*1000000000*117*1.0e-6    0.000552*x      ----------*1000000000*117*1.0e-6      
     0.000552*|------|           5                                                   5                                 
              \  10  /                                                                                                 
x1.010611710000000002.31053095+(((5(11403500)2(416750)20.000552(37440110)2)+374401101.010611710000000002.31053095)+(416750)2(647200)20.000552x2)=15- \frac{x}{1.0 \cdot 10^{-6} \cdot 117 \cdot 1000000000 \frac{2.3 \cdot 10^{-5} \cdot 309}{5}} + \left(\left(\left(-5 - \frac{\left(\frac{11403}{500}\right)^{2} \left(\frac{4167}{50}\right)^{2}}{0.000552 \left(\frac{374401}{10}\right)^{2}}\right) + \frac{374401}{10 \cdot 1.0 \cdot 10^{-6} \cdot 117 \cdot 1000000000 \frac{2.3 \cdot 10^{-5} \cdot 309}{5}}\right) + \frac{\left(\frac{4167}{50}\right)^{2} \left(\frac{647}{200}\right)^{2}}{0.000552 x^{2}}\right) = -15
Gráfica
400004200044000460004800050000520005400056000-15.1-14.9
Respuesta rápida [src]
x1 = 38341.6185450194
x1=38341.6185450194x_{1} = 38341.6185450194
x2 = -7.44813907552812 - 755.706252344531*I
x2=7.44813907552812755.706252344531ix_{2} = -7.44813907552812 - 755.706252344531 i
x3 = -7.44813907552812 + 755.706252344531*I
x3=7.44813907552812+755.706252344531ix_{3} = -7.44813907552812 + 755.706252344531 i
x3 = -7.44813907552812 + 755.706252344531*i
Suma y producto de raíces [src]
suma
38341.6185450194 + -7.44813907552812 - 755.706252344531*I + -7.44813907552812 + 755.706252344531*I
(38341.6185450194+(7.44813907552812755.706252344531i))+(7.44813907552812+755.706252344531i)\left(38341.6185450194 + \left(-7.44813907552812 - 755.706252344531 i\right)\right) + \left(-7.44813907552812 + 755.706252344531 i\right)
=
38326.7222668683
38326.722266868338326.7222668683
producto
38341.6185450194*(-7.44813907552812 - 755.706252344531*I)*(-7.44813907552812 + 755.706252344531*I)
38341.6185450194(7.44813907552812755.706252344531i)(7.44813907552812+755.706252344531i)38341.6185450194 \left(-7.44813907552812 - 755.706252344531 i\right) \left(-7.44813907552812 + 755.706252344531 i\right)
=
21898716303.8857 + 2.98023223876953e-8*I
21898716303.8857+2.98023223876953108i21898716303.8857 + 2.98023223876953 \cdot 10^{-8} i
21898716303.8857 + 2.98023223876953e-8*i
Respuesta numérica [src]
x1 = 38341.6185450194
x2 = -7.44813907552812 - 755.706252344531*i
x3 = -7.44813907552812 + 755.706252344531*i
x3 = -7.44813907552812 + 755.706252344531*i