Write the followi

(i) Given: D = {t | t³ = t, t ∈ R}

To find: Roster form of given set

t³ = t

⇒ t³ – t = 0

⇒ t(t² – 1) = 0

⇒ t(t – 1)(t + 1) = 0

⇒ t = 0, -1 or 1

So, D = {-1, 0, 1}

(ii) Given:

To find: Roster form of given set

⇒ w – 2 = 3(w + 3)

⇒ w – 2 = 3w + 9

⇒ 3w – w = - 9 – 2

⇒ 2w = –11

(iii) Given: F = {x | x⁴ – 5x² + 6 = 0, x ∈ R}

To find: Roster form of given set

x⁴ – 5x² + 6 = 0

⇒ x⁴ – 3x² – 2x² + 6 = 0

⇒ x²(x² – 3) – 2(x² – 3) = 0

⇒ (x² – 3) (x² – 2) = 0

⇒ x² = 3 or 2