Concept:Factorize the quadratic equation to obtain its two roots.Explanation:Start with x2−3x+2=0.Find two numbers whose product is +2 and sum is −3. These are −1 and −2.Split the middle term: x2−2x−x+2=0.Group the terms: x(x−2)−1(x−2)=0.Factor out (x−2): (x−1)(x−2)=0.Set each factor equal to zero: x−1=0 gives x=1, and x−2=0 gives x=2.Hence the roots are 1 and 2.The smaller value of x is 1.Answer:x=1 (Option D).