If
and xy = 1, let us show that 
Formula used.
(a – b)2 = a2 – 2ab + b2
x = ![]()
xy = 1
y = ![]()
y =
= ![]()
x + y =
+ ![]()
= ![]()
= ![]()
=
= 5
x-y =
– ![]()
= ![]()
= ![]()
=
= √21
![]()
Add and Subtract xy both on numerator and denominator
= ![]()
Putting values we get;
= ![]()
Hence proved.
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