sqrt(x)+sqrt(y)+1/(sqrt(x)+sqrt(y))=10/3 x+2*y=9

x + 2*y = 9

1

$$y_{1} = 4$$
=
$$4$$
=

4

9

$$y_{2} = 0$$
=
$$0$$
=

0

x1 = 1.0 + 1.261883510738205e-31*i
y1 = 4.0 – 6.309417553691027e-32*i

x2 = 1.0 – 2.735374544113051e-24*i
y2 = 4.0 + 1.367687272056526e-24*i

x3 = 1.0 + 6.654377745206837e-29*i
y3 = 4.0 – 3.327188872603418e-29*i

x4 = 1.0 – 7.285609540050048e-30*i
y4 = 4.0 + 3.642804769979106e-30*i

x5 = 1.0 – 3.432922717086793e-35*i
y5 = 4.0 + 1.716461358543397e-35*i

x6 = 1.000000000000088 – 1.05625541600263e-13*i
y6 = 3.999999999999956 + 5.281277080013152e-14*i

x7 = 1.00000000000000
y7 = 4.00000000000000

x8 = 1.0 + 1.261170506604108e-30*i
y8 = 4.0 – 6.305852533020541e-31*i

x9 = 1.0 + 2.182025116671045e-25*i
y9 = 4.0 – 1.091012558335757e-25*i

x10 = 1.0 – 2.966246742132467e-23*i
y10 = 4.0 + 1.483123371066233e-23*i

x11 = 0.9999999999999998 – 4.356281723681904e-16*i
y11 = 4.0 + 2.178140861840952e-16*i

x12 = 1.0 + 7.480433906905657e-28*i
y12 = 4.0 – 3.740216953452828e-28*i

x13 = 1.0 + 4.360154954977246e-23*i
y13 = 4.0 – 2.180077477488628e-23*i

x14 = 1.0 + 1.468215875938583e-24*i
y14 = 4.0 – 7.341079379692915e-25*i

x15 = 1.0 + 1.313483004232971e-35*i
y15 = 4.0 – 6.567415066006404e-36*i

x16 = 1.0 – 2.073577454048537e-23*i
y16 = 4.0 + 1.036788727024268e-23*i