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sqtr(11-3sqrt(x*x+7))=3 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   ____________________    
  /          _________     
\/  11 - 3*\/ x*x + 7   = 3
$$\sqrt{11 - 3 \sqrt{x x + 7}} = 3$$
Gráfica
Respuesta rápida [src]
          ____ 
     -I*\/ 59  
x1 = ----------
         3     
$$x_{1} = - \frac{\sqrt{59} i}{3}$$
         ____
     I*\/ 59 
x2 = --------
        3    
$$x_{2} = \frac{\sqrt{59} i}{3}$$
x2 = sqrt(59)*i/3
Suma y producto de raíces [src]
suma
      ____       ____
  I*\/ 59    I*\/ 59 
- -------- + --------
     3          3    
$$- \frac{\sqrt{59} i}{3} + \frac{\sqrt{59} i}{3}$$
=
0
$$0$$
producto
     ____      ____
-I*\/ 59   I*\/ 59 
----------*--------
    3         3    
$$- \frac{\sqrt{59} i}{3} \frac{\sqrt{59} i}{3}$$
=
59/9
$$\frac{59}{9}$$
59/9
Respuesta numérica [src]
x1 = 2.58857254222306e-37 + 2.5603819159562*i
x2 = 1.55081011502646e-30 + 2.5603819159562*i
x3 = -2.65118916818538e-21 + 2.5603819159562*i
x4 = 1.62816319596784e-38 + 2.5603819159562*i
x5 = -2.34852900619617e-36 - 2.5603819159562*i
x6 = -5.96442058535822e-37 - 2.5603819159562*i
x7 = -1.19584911533153e-31 + 2.5603819159562*i
x8 = -8.02834901675119e-38 - 2.5603819159562*i
x9 = -4.0517715462358e-16 + 2.5603819159562*i
x10 = -3.06212814689609e-30 - 2.5603819159562*i
x11 = -8.14745843590312e-39 + 2.5603819159562*i
x12 = 7.49914051994114e-30 - 2.5603819159562*i
x13 = 9.9976019866573e-38 - 2.5603819159562*i
x14 = -1.16650706364421e-35 - 2.5603819159562*i
x15 = -6.19289435782572e-34 + 2.5603819159562*i
x16 = -2.15394971086119e-37 + 2.5603819159562*i
x17 = 3.32535347967583e-29 + 2.5603819159562*i
x18 = -1.56446468347184e-31 + 2.5603819159562*i
x19 = 5.70651401460624e-16 - 2.5603819159562*i
x20 = 3.09783755251701e-35 + 2.5603819159562*i
x21 = 3.00510195315696e-37 + 2.5603819159562*i
x22 = 3.88538218264209e-31 - 2.5603819159562*i
x23 = 8.27797849445221e-31 + 2.5603819159562*i
x24 = -5.12119640721002e-33 - 2.5603819159562*i
x25 = 1.60239612471664e-38 - 2.5603819159562*i
x26 = 1.72329844388246e-13 - 2.56038191595609*i
x27 = -6.58625539948982e-34 - 2.5603819159562*i
x28 = 6.31034533013973e-37 - 2.5603819159562*i
x29 = 3.3642047156795e-24 + 2.5603819159562*i
x30 = 3.97491368217031e-32 + 2.5603819159562*i
x31 = -1.61847271548685e-29 + 2.5603819159562*i
x32 = 1.97952731630884e-36 + 2.5603819159562*i
x33 = -8.94308968602365e-38 - 2.5603819159562*i
x34 = -2.61016522217047e-30 + 2.5603819159562*i
x35 = 9.07873289865039e-31 + 2.5603819159562*i
x36 = -2.39756483590984e-30 - 2.5603819159562*i
x37 = 8.69756643487897e-36 - 2.5603819159562*i
x38 = -1.06242826363784e-33 - 2.5603819159562*i
x39 = 4.03463269722405e-17 + 2.5603819159562*i
x40 = -2.28508884731503e-34 + 2.5603819159562*i
x41 = -2.44169530042511e-24 - 2.5603819159562*i
x42 = 4.70618592047299e-37 + 2.5603819159562*i
x43 = -1.79483857381167e-26 - 2.5603819159562*i
x44 = 4.40413220025801e-27 + 2.5603819159562*i
x45 = -1.79627831372639e-32 + 2.5603819159562*i
x46 = 3.92067329601118e-21 - 2.5603819159562*i
x47 = -3.37603659966679e-34 - 2.5603819159562*i
x48 = -2.89739720129841e-29 - 2.5603819159562*i
x49 = -1.19878034144664e-24 - 2.5603819159562*i
x50 = 6.85406189548347e-33 - 2.5603819159562*i
x51 = 8.32162042775173e-34 - 2.5603819159562*i
x52 = -1.26374877882441e-34 - 2.5603819159562*i
x53 = -1.8146307925936e-19 - 2.5603819159562*i
x54 = 1.47800217692271e-24 + 2.5603819159562*i
x55 = 3.67723449342573e-33 + 2.5603819159562*i
x56 = 1.72525405068177e-19 + 2.5603819159562*i
x57 = -1.39558606129912e-32 + 2.5603819159562*i
x58 = -1.68688805663525e-17 - 2.5603819159562*i
x59 = 2.89173554744374e-31 - 2.5603819159562*i
x60 = 8.58033144395822e-18 + 2.5603819159562*i
x61 = -7.95117914155295e-34 + 2.5603819159562*i
x62 = 5.94571845521492e-33 - 2.5603819159562*i
x63 = 4.49382721118681e-37 + 2.5603819159562*i
x64 = -2.41253949090775e-37 - 2.5603819159562*i
x65 = 1.09329696142522e-30 + 2.5603819159562*i
x65 = 1.09329696142522e-30 + 2.5603819159562*i