for what integral values of 'a' for which the equation x^2-x(1-a)-(a+2)=0 has integral roots.

Using the quadratic formula:Roots =[ ( 1- a ) +- √ { ( 1- a )² + 4( a + 2 ) } ] / 2For the roots to be integral firstly discriminat should be a perfect square and then overall numerator should be even...Considering only discriminant: -> √ { ( 1 + a )² + 8 } ] ( on simplifying )Only one case can make it a perfect square and that is ( 1 + a )² should be 1 which gives a=0 and the roots are also integral...Hence ans:::: a = 0...