Solve

as

will be positive always

cross multiply and take 1 to other side of equation

solve by taking LCM

we get

|x^2-5x+4|-(x^2-4)\le0

on solving we get

and

the other method I know is to square to remove the modulus function

among these which method is correct?

the second method becomes equation of degree 4 i.e. )

please provide hints.