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Question
Solve the quadratic equation by factorisation method:
x2 – 15x + 54 = 0
Solution
x2 – 15x + 54 = 0
∴ x2 – 9x – 6x + 54 = 0
∴ x(x – 9) – 6(x – 9) = 0
∴ (x – 9) (x – 6) = 0
∴ x – 9 = 0 or x – 6 = 0
∴ x = 9 or x = 6
∴ The roots of the given quadratic equation are 9 and 6.
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