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Solución de sistemas de ecuaciones/ sqrt(a/2)+sqrt(b/3)=14; sqrt(a/8)-sqrt(b/12)=3

sqrt(a/2)+sqrt(b/3)=14; sqrt(a/8)-sqrt(b/12)=3

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Gráfico:

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Solución

Ha introducido [src] 
    ___       ___     
   / a       / b      
  /  -  +   /  -  = 14
\/   2    \/   3
a2+b3=14\sqrt{\frac{a}{2}} + \sqrt{\frac{b}{3}} = 14 
    ___       ____    
   / a       / b      
  /  -  -   /  --  = 3
\/   8    \/   12
a8−b12=3\sqrt{\frac{a}{8}} - \sqrt{\frac{b}{12}} = 3 
sqrt(a/8) - sqrt(b/12) = 3
Respuesta rápida
a1=200a_{1} = 200
=
200200
=
200

b1=48b_{1} = 48
=
4848
=
48
Respuesta numérica [src] 
a1 = 200.0 + 5.766275804204775e-37*i
b1 = 48.0 + 8.183133501954191e-31*i
a2 = 200.0 + 1.239860453173541e-37*i
b2 = 48.0 - 6.985928705357566e-31*i
a3 = 200.0 - 2.418519767682267e-27*i
b3 = 48.0 - 6.985957479255223e-31*i
a4 = 200.0 + 2.403532901370221e-49*i
b4 = 48.0
a5 = 200.0 - 2.418519757255632e-27*i
b5 = 48.0
a6 = 200.0
b6 = 48.0
a7 = 200.0 - 2.418519751754318e-27*i
b7 = 48.0
a8 = 200.0 + 1.325846503364212e-24*i
b8 = 48.0
a9 = 200.0 + 1.584007701662055e-49*i
b9 = 48.0
a10 = 200.0 + 1.325846502979778e-24*i
b10 = 48.0 - 7.019901645256289e-29*i
a11 = 200.0 + 3.781410297190494e-36*i
b11 = 48.0 - 7.019895272019792e-29*i
a12 = 200.0 + 1.547312529492432e-49*i
b12 = 48.0
a13 = 200.0 - 2.418519755010438e-27*i
b13 = 48.0
a14 = 200.0 + 1.325846503385653e-24*i
b14 = 48.0
a15 = 200.0 + 1.32584650293163e-24*i
b15 = 48.0
a16 = 200.0 - 2.418519752965078e-27*i
b16 = 48.0 - 7.019895626137465e-29*i
a16 = 200.0 - 2.418519752965078e-27*i
b16 = 48.0 - 7.019895626137465e-29*i
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