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Question
Solve the following quadratic equation by factorisation.
2m (m − 24) = 50
Solution
2m (m − 24) = 50
∴ 2m2 – 48m = 50
∴ 2m2 – 48m – 50 = 0
Dividing the whole equation by 2,
∴ m2 – 24m – 25 = 0
∴ m2 – 25m + m – 25 = 0
∴ (m – 25)(m + 1) = 0
∴ m – 25 = 0 or m + 1 = 0
∴ m = 25 or m = – 1
∴ The roots of the given quadratic equation are 25 and – 1.
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