Question

Write solution set of equation x^2-3x+2=0 in roster form.

(a) {1,3}

(b) {2,4}

(c) {1,4}

(d) {1,2}

This question was addressed to me in a national level competition.

My query is from Sets and their Representations topic in division Sets of Mathematics – Class 11

Answer 1

The correct choice is (d) {1,2}

Easy explanation: x^2-3x+2=0

=>x^2-x-2x-2=0=>x(x-1)-2(x-1)=0

=>(x-1)(x-2)=0=>x=1,2

so, the solution set of equation x^2-3x+2=0 in roster form is {1,2}.