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Question
Solve the following equation by factorization:
2x2 – 7x = 39
Sum
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Solution
Given,
⇒ 2x2 – 7x = 39
⇒ 2x2 – 7x – 39 = 0
⇒ 2x2 + 6x – 13x – 39 = 0
⇒ 2x(x + 3) – 13(x + 3) = 0
⇒ (x + 3)(2x – 13) = 0
⇒ x + 3 = 0 or 2x – 13 = 0 ...[Using zero-product rule]
⇒ x = –3 or 2x = 13
⇒ x = –3 or x = `13/2`
Hence, `x = {13/2, -3}`.
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