guys pl help me work out this inequality problem

[Rosyth]

find the region of x for |x-6|>|x^2-5x+9|

[Rosyth]

This one too..
Solve for (15+4_/14)^t + (15-4_/14)^t =30
Where t=x^2-2|x|. Find the value of x.

[H4CK3R]

Hey Roseyth..hope it will work !! Though I'm not able to understand the exact statement (symbols u hav used) in Ques 2

[Rosyth]

Thnx a ton H4CK3R. :)
For the second ques.. ^ represents power sign nd _/ represents square root.

[H4CK3R]

I think it this way: