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Question
Solve the following equation by factorization:
x2 – 30x + 216 = 0
Sum
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Solution
Given,
⇒ x2 – 30x + 216 = 0
⇒ x2 – 18x – 12x + 216 = 0
⇒ x(x – 18) – 12(x – 18) = 0
⇒ (x – 18)(x – 12) = 0
⇒ (x – 18) = 0 or (x – 12) = 0 ...[Using zero-product rule]
⇒ x = 18 or x = 12
Hence, x = {18, 12}.
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