1. Solve the equation 
in the set of integer numbers.
in the set of integer numbers. 
When does inequality hold?
3. Find all functions 
which satisfy the conditions:
which satisfy the conditions: 
and 
4. A fixed circle 
and collinear points 
and 
are given such that the points 
and lie outside the circle and 
lies inside the circle . Prove that, if 
is an arbitrary quadrilateral inscribed in the circle such that the points and lie on lines 
and 
respectively, then the side 
passes through a fixed point collinear with and , independent of the quadrilateral .
and collinear points and are given such that the points and lie outside the circle and lies inside the circle . Prove that, if is an arbitrary quadrilateral inscribed in the circle such that the points and lie on lines and respectively, then the side passes through a fixed point collinear with and , independent of the quadrilateral .Κάντε κλικ εδώ, για να τα κατεβάσετε.
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