> Hi! > > Here are two questions that have me really stumped. > > Q1 - If x + y = 2 and x^2 + y^2 = 8, find > > a) xy > b) x - y > > Do I solve these simultaneously? Quadratically? Or > something else? > > Q2 - Complete the sequence: > > 7/8, 2/3, 1/2, 4/11, 1/4, ______, ______ . > > I seriously can't figure out any pattern here! > > Thanks.
the sequence in Q2 may have to do with Farey sequence, see for example: