Concept:Find the roots of the given quadratic, then compute the desired sum and product for the new equation.Explanation:Given: x2−5x+6=0; roots are α and β, with α>β.Factorising: (x−2)(x−3)=0, so roots are 2 and 3.Since α>β, we have α=3, β=2.New roots are α+β=3+2=5 and α−β=3−2=1.Sum of new roots: 5+1=6.Product of new roots: 5×1=5.Quadratic with sum 6 and product 5 is x2−6x+5=0.Answer:x2−6x+5=0