x^2 + x^2/(x+1)^2 = 15
x^2(x+1)^2 + x^2 =15(x+1)^2
x^2(x^2+2x+1)+x^2=15(x^2+2x+1)
x^4+2x^3+x^2+x^2=15x^2+30x+15
x^4+2x^3+x^2+x^2-15x^2-30x=15
x^4+2x^3-48x^2-30x-15 = 0
(x^2-3x-3)(x^2+5x+5) =0
TH 1 x^2-3x-3=0 =>(x-√3)^2=0 => x-√3=0 => x≈√3
TH 2 x^2+5x+5=0 =>(x+√5)^2=0 => x+√5=0 => x=-√5
vậy S={√3 , √5}