## Realated Questions

Find the number of ordered pairs (x, y) of integers such that 55x

^{2 }+ 2xy + y^{2}= 2007Given that a,b and c are roots of the equation x

^{3}− ax^{2}+ bx − c = 0.find the number of ordered triplets (a, b, c)The diagonals AC and CE of a regular hexagon ABCDEF are divided by the internal points M and N such that AM/AC = CN/CE = r. Determine r if B,M and N are collinear.