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x^0.5+y^0,5=3; (x+5)^0.5+(y+3)^0,5=5

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Solución

Ha introducido [src]
  ___     ___    
\/ x  + \/ y  = 3
$$\sqrt{x} + \sqrt{y} = 3$$
  _______     _______    
\/ x + 5  + \/ y + 3  = 5
$$\sqrt{x + 5} + \sqrt{y + 3} = 5$$
sqrt(x + 5) + sqrt(y + 3) = 5
Respuesta rápida
$$x_{1} = \frac{121}{64}$$
=
$$\frac{121}{64}$$
=
1.89062500000000

$$y_{1} = \frac{169}{64}$$
=
$$\frac{169}{64}$$
=
2.64062500000000
$$x_{2} = 4$$
=
$$4$$
=
4

$$y_{2} = 1$$
=
$$1$$
=
1
Respuesta numérica [src]
x1 = 1.890625
y1 = 2.640625
x2 = 1.890625 + 8.840750563346979e-18*i
y2 = 2.640625 - 7.03841346360051e-18*i
x3 = 1.890625 - 3.814288538476491e-31*i
y3 = 2.640625 + 3.036664240589682e-31*i
x4 = 3.999999999997061 + 5.273097547036523e-12*i
y4 = 1.000000000002183 - 3.916318692072673e-12*i
x5 = 4.0 - 1.702899138394272e-29*i
y5 = 1.0 + 1.264747624909718e-29*i
x6 = 4.0 - 2.151189289765303e-22*i
y6 = 1.0 + 1.597698000706434e-22*i
x7 = 1.890625 + 8.973835255481326e-31*i
y7 = 2.640625 - 7.144335054271537e-31*i
x8 = 1.890625 - 6.446142608215899e-22*i
y8 = 2.640625 + 5.13195727088383e-22*i
x9 = 1.890625 - 1.216509109564641e-23*i
y9 = 2.640625 + 9.685001911362722e-24*i
x10 = 1.890625 + 7.202468052989815e-23*i
y10 = 2.640625 - 5.734076294615165e-23*i
x10 = 1.890625 + 7.202468052989815e-23*i
y10 = 2.640625 - 5.734076294615165e-23*i