Question

Solve the following quadratic equation by factorisation.

2m (m − 24) = 50

Answer 1

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.