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Question
Solve the following equation by factorization:
(x + 3)(x – 3) = 27
Sum
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Solution
Given,
⇒ (x + 3)(x – 3) = 27
⇒ (x)2 – (3)2 = 27
⇒ x2 – 9 = 27
⇒ x2 = 27 + 9
⇒ x2 = 36
⇒ `x = sqrt(36)`
⇒ x = ± 6
Hence, x = {6, –6}.
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