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Question
Solve the following equation by factorization:
x2 – x = 156
Sum
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Solution
Given,
⇒ x2 – x = 156
⇒ x2 – x – 156 = 0
⇒ x2 – 13x + 12x – 156 = 0
⇒ x(x – 13) + 12(x – 13) = 0
⇒ (x + 12)(x – 13) = 0
⇒ x + 12 = 0 or x – 13 = 0 ...[Using zero-product rule]
⇒ x = –12 or x = 13
Hence, x = {13, –12}.
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