We will have to check for each value and see whether it satisfies the equation.

(i)

For x = 2,

2² – 3 × 2 + 2 = 0

⇒ 0 = 0

Thus, x = 2 is a solution.

For, x = 1

1² – 3 × 1 + 2 = 0

⇒ 0 = 0

Thus, x = 1 is a solution.

(ii)

For x = 0,

⇒ 0 + 0 + 1 = 0

⇒ 1 = 0 which is not true thus x = 0 is not a solution

For x = 1,

⇒ 1 + 1 + 1 = 0

⇒ 3 = 0 which is not true thus x = 1 is not a solution

(iii)

For x= √3

⇒ 3 – 3√3 × √3 + 6 = 0

⇒ 3 – 9 + 6 = 0

⇒ 0 = 0

Thus, x = √3 is a solution

For x = -2√3

⇒ (-2√3)² – 3√3 × -2√3 + 6 = 0

⇒ 4 × 3 + 18 + 6 = 0

⇒ 36 = 0 which is not true, thus x = -2√3 is not a solution

(iv)

For x = 5/6

⇒ 61 = 65 which is not true, thus x = 5/6 is not a solution

For x = 4/3

⇒ 25/12 = 13/6

⇒ 25 = 26 which is not true, thus x = 4/3 is not a solution

(v)

For x = 2,

⇒ 2 × 4 – 2 + 9 = 4 + 4 × 2 + 3

⇒ 15 = 15, thus x = 2 is a solution.

For x = 3

⇒ 2 × 9 – 3 + 9 = 9 + 4 × 3 + 3

⇒ 24 = 24, thus x = 3 is also a solution

(vi)

For x = -√2,

⇒ 2 - √2 × -√2 – 4 = 0

⇒ 2 + 2 – 4 = 0

⇒ 0 = 0

Thus, x = -√2 is a solution

For x = -2√2

⇒ 4 × 2 - √2 × -2√2 – 4 = 0

⇒ 8 + 8 – 4 = 0

⇒ 12 = 0 which is not true, thus x = -2√2 is not a solution

(vii)

For, x = a/b

⇒ a⁴/b² – 3a² + 2b² = 0 which is not true, thus x = a/b is not a solution

For x = b/a

⇒ b² – 3b² + 2b² = 0

⇒ 0 = 0 , thus x = b/a is a solution