Determine all pairs of real numbers a and b, b>0, such that the solutions to the two equations x2+ax+a=bandx2+ax+a=−bare four consecutive integers.
Source: SAMO 2016 Q2
Tags: quadratic equation, algebra
Determine all pairs of real numbers a and b, b>0, such that the solutions to the two equations x2+ax+a=bandx2+ax+a=−bare four consecutive integers.