2x- 1 & gt; = 0x & gt; =0.5
1-2x & gt; = 0x & lt; =0.5
So x=0.5 and y= 1/3.
So 1/x+ 1/y=2+3=5.
2.
Let the original formula = k > 0.
k^2=y/x+x/y+2
=(x^2+y^2)/xy+2
=[(x+y)^2-2xy]/xy+2
=[5^2-2*3]/3+2
= 5/3 times the root number 3.
3.
x^2- 1<; 5 x^2<; Root 5
(x^2- 1)^2- 1>; 5 x^2- 1>; Root 6
Vertical x 2 = 4 x = 2 or -2
The result is (2 times root 2)- (root 6)