Question

Which equation has the solution set x= {2,3}?

A.2/3x=0
B.(x-2)(x-3)=0
C.(x+2)(x+3)=0
D.(2x+3)^2=0

Answer 1

B

(x - 2)(x - 3) = 0

To solve equate each of the factors to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 3 = 0 ⇒ x = 3

solution set is x∈ [2, 3]

note that (x + 2)(x + 3) = 0 has solution set x ∈[- 2, - 3]