rmula1" title="y = x^{3} +2mx^{2} + (3m-1)x + 2" alt="y = x^{3} +2mx^{2} + (3m-1)x + 2" align="absmiddle" class="latex-formula"> has a graph of (C) and line d: y = -x + 2. S is the set of m values that (d) intersects (C) at 3 distinct points A(0 ;2), B and C. the area of triangle MBC is 2√2, with M(3;1). Calculate the sum of the squares of the elements of S ?