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Question
Solve the following equation by factorization:
x2 – 11x = 42
Sum
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Solution
Given,
⇒ x2 – 11x = 42
⇒ x2 – 11x – 42 = 0
⇒ x2 – 14x + 3x – 42 = 0
⇒ x(x – 14) + 3(x – 14) = 0
⇒ (x + 3)(x – 14) = 0
⇒ x + 3 = 0 or x – 14 = 0 ...[Using zero-product rule]
⇒ x = –3 or x = 14
Hence, x = {14, –3}.
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