A student concentrates on solving quadratic equations in R. He starts with a first quadratic equation x2+ax+b=0 where a and b are both different from 0. If this first equation has solutions p and q with p≤q, he forms a second quadratic equation x2+px+q=0. If this second equation has solutions, he forms a third quadratic equation in an identical way. He continues this process as long as possible. Prove that he will not obtain more than five equations. quadraticsinequalitiesalgebraalgebra solved