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Question
Complete the following activity to solve the given quadratic equation by factorization method.
Activity: x2 + 8x – 20 = 0
x2 + ( __ ) – 2x – 20 = 0
x (x + 10) – ( __ ) (x + 10) = 0
(x + 10) ( ____ ) = 0
x = ___ or x = 2
Solution
x2 + 8x – 20 = 0
x2 + 10x – 2x – 20 = 0
∴ x (x + 10) – 2 (x + 10) = 0
∴ x (x + 10) – (x – 2) = 0
∴ x + 10 = 0 or x – 2 = 0
x = – 10 or x = 2
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