`(x^2-(x+1)(x+2))/(5x+1)=6`

If y=x+(1)/(x),xne0 , then the equation (x^(2)-3x+1)(x^(2)-5x+1)=6x^2 reduces to

If y= x+(1)/(x), x ne 0 , then the equation (x^(2)-3x+1)(x^(2)-5x+1)=6x reduces to

Solve (x^(2)+(1)/(x^(2)))-5(x+(1)/(x))+6=0," when "x ne0

lim_ (x rarr oo) (3x ^ (- 1) + 4x ^ (- 2)) / (5x ^ (- 1) + 6x ^ (- 2))

Let f(x) = {(x^(4)-5x^(2)+4)/(|(x-1)(x-2)|) x ne 1,2),(6, x=1), (12, x =2):} . Then, f(x) is continuous on the set

(x^(2)+1)/(x^(2)-5x+6)