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Question
Solve the following equation by factorization:
16x2 = 25
Sum
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Solution
Given,
⇒ 16x2 = 25
⇒ 16x2 – 25 = 0
⇒ (4x)2 – (5)2 = 0
⇒ (4x + 5)(4x – 5) = 0
⇒ 4x + 5 = 0 or 4x – 5 = 0 ...[Using zero-product rule]
⇒ 4x = –5 or 4x = 5
⇒ `x = (-5)/4` or `x = 5/4`
Hence, `x = {5/4, (-5)/4}`.
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