1. The problem statement, all variables and given/known data If [itex]x_1,x_2[/itex] are the roots of [itex]x^2-3x+a=0[/itex] and [itex]x_3,x_4[/itex] are the roots of the equation [itex]x^2-12x+b=0[/itex] and [itex]x_1,x_2,x_3,x_4[/itex] are in increasing G.P., find a and b 2. Relevant equations 3. The attempt at a solution [itex]x_1+x_2=3 \\ x_1x_2=a \\ x_3+x_4=12 \\ x_3x_4=b[/itex] But these are not sufficient to find a and b. Also what is meant by an increasing G.P.?