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(1/sqrt(x)-1/2)*(x^2-4X^2-5)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
/  1     1\ / 2      2    \    
|----- - -|*\x  - 4*x  - 5/ = 0
|  ___   2|                    
\\/ x     /                    
$$\left(- \frac{1}{2} + \frac{1}{\sqrt{x}}\right) \left(\left(- 4 x^{2} + x^{2}\right) - 5\right) = 0$$
Gráfica
Suma y producto de raíces [src]
suma
        ____       ____
    I*\/ 15    I*\/ 15 
4 - -------- + --------
       3          3    
$$\left(4 - \frac{\sqrt{15} i}{3}\right) + \frac{\sqrt{15} i}{3}$$
=
4
$$4$$
producto
       ____      ____
  -I*\/ 15   I*\/ 15 
4*----------*--------
      3         3    
$$\frac{\sqrt{15} i}{3} \cdot 4 \left(- \frac{\sqrt{15} i}{3}\right)$$
=
20/3
$$\frac{20}{3}$$
20/3
Respuesta rápida [src]
x1 = 4
$$x_{1} = 4$$
          ____ 
     -I*\/ 15  
x2 = ----------
         3     
$$x_{2} = - \frac{\sqrt{15} i}{3}$$
         ____
     I*\/ 15 
x3 = --------
        3    
$$x_{3} = \frac{\sqrt{15} i}{3}$$
x3 = sqrt(15)*i/3
Respuesta numérica [src]
x1 = 5.64700932409899e-40 + 1.29099444873581*i
x2 = -3.94840119568121e-38 + 1.29099444873581*i
x3 = -1.18694596821997e-66 + 1.29099444873581*i
x4 = 1.52013318538439e-41 + 1.29099444873581*i
x5 = -1.25337085871116e-40 + 1.29099444873581*i
x6 = -5.7956346104491e-70 + 1.29099444873581*i
x7 = -1.89911354915196e-65 + 1.29099444873581*i
x8 = 1.29099444873581*i
x9 = -1.44890865261227e-70 + 1.29099444873581*i
x10 = 4.41382154767256e-36 + 1.29099444873581*i
x11 = -4.12225715983276e-41 + 1.29099444873581*i
x12 = 4.0
x13 = 5.93472984109987e-67 + 1.29099444873581*i
x14 = -2.89781730522455e-70 + 1.29099444873581*i
x15 = 1.18694596821997e-66 + 1.29099444873581*i
x16 = -6.37727312600284e-32 + 1.29099444873581*i
x17 = -8.70395904433134e-40 + 1.29099444873581*i
x18 = -2.22552369041245e-67 + 1.29099444873581*i
x19 = 2.46981405549911e-37 + 1.29099444873581*i
x20 = 9.27301537671855e-69 + 1.29099444873581*i
x21 = 1.85460307534371e-68 + 1.29099444873581*i
x22 = -3.82421330380808e-39 + 1.29099444873581*i
x23 = -1.34947125686846e-42 + 1.29099444873581*i
x24 = -3.52814422023951e-42 + 1.29099444873581*i
x25 = -9.4955677457598e-66 + 1.29099444873581*i
x26 = -3.33804017363334e-36 + 1.29099444873581*i
x27 = 4.70313820107113e-41 + 1.29099444873581*i
x28 = -7.41841230137484e-68 + 1.29099444873581*i
x29 = -1.97575302361781e-40 + 1.29099444873581*i
x30 = 4.63650768835928e-69 + 1.29099444873581*i
x31 = 5.07537355465652e-40 + 1.29099444873581*i
x32 = -4.38803418379259e-42 + 1.29099444873581*i
x33 = 7.24454326306137e-71 + 1.29099444873581*i
x33 = 7.24454326306137e-71 + 1.29099444873581*i