(x^2+1/x) + (x/x^2+1)=-2,5

Question

(x^2+1/x) + (x/x^2+1)=-2,5

Answer 1

(x²+1)/x=a
a+1/a=-5/2
2a²+5a+25=0,a≠0
D=25-16=9
a1=(-5+3)/4=-1/2⇒(x²+1)/x=-1/2
2x²+x+2=0,x≠0
D=1-16=-15 нет решения
a2=(-5-3)/4=-2⇒(x²+1)/x=-2
x²+2x+1=0,x≠0
(x+1)²=0
x=-1