1) (a/ a^2...

1) (a/ a^2 + ab)-(1/a^2) : ( a+b/ab)2) x + (12/x)=8
3) (x-1/x+1) = (9/1-x)

 

1) (1/a+ab)-1/(a²*(a+b/ab))=(1+a²b)/a-ab/(a²(a²b+b))=(1+a²b)/a-1/a(a²+1)=
=(a²b+1)(a²+1)-1/a(a²+1)=(a⁴b+a²+a²b+1-1)/a(a²+1)=a²(a²b+b+1)/a(a²+1)=
=(a³b+ab+a)/(a²+1)
 
2) x+12/x=8   *x
  x²+12=8x
x²-8x+12=0
x₁=2
x₂=6
 
3) (x-1/x+1)=9-x
(x²+x-1)/x =9-x
x²+x-1=9x-x²
2x²-8x-1=0
D=(64+2*4)=72
x₁₋₂ =2±1.5√2