Given,
2x2−9x+10=0⇒2x2−5x−4x+10=0⇒x(2x−5)−2(2x−5)=0⇒(x−2)(2x−5)=0 (Factorising left side) ⇒x−2=0 or 2x−5=0 (Zero-product rule) ⇒x=2 or x=25
(i) Hence, the root of given equation is 2 , when x ∈ N
(ii) Hence, the root of given equation is 2, 25 , when x ∈ Q