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Question
Solve the following equation by factorization:
x2 + 17 = 18x
Sum
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Solution
Given,
⇒ x2 + 17 = 18x
⇒ x2 – 18x + 17 = 0
⇒ x2 – 17x – x + 17 = 0
⇒ x(x – 17) – 1(x – 17) = 0
⇒ (x – 1)(x – 17) = 0
⇒ x – 1 = 0 or x – 17 = 0 ...[Using zero-product rule]
⇒ x = 1 or x = 17
Hence, x = {1, 17}.
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