implies
for
all 
.
Take a = 0, b = 1. Then 
and
must
be 0. Now we can consider the interval
and
by the same way prove that 
.
By continuing this process we get that
has
infinitely many solutions of the form
,
.
Solution :
Take a = b. Then
implies
for
all .
Take a = 0, b = 1. Then and
must
be 0. Now we can consider the interval
and
by the same way prove that .
By continuing this process we get that
has
infinitely many solutions of the form
,
.
Example:
