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Question
Solve equation using factorisation method:
2x2 – 9x + 10 = 0, when:
- x ∈ N
- x ∈ Q
Solution
2x2 – 9x + 10 = 0
⇒ 2x2 – 5x – 4x + 10 = 0
⇒ x(2x – 5) – 2(2x – 5) = 0
⇒ (2x – 5)(x – 2) = 0
⇒ 2x – 5 = 0 or x – 2 = 0
⇒ x = `5/2` or x = 2
- When x ∈ N, we have x = 2
- When x ∈ Q, we have x = `2, 5/2`
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