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प्रश्न
Solve the following equation by factorization:
10x2 = 9x + 7
बेरीज
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उत्तर
Given,
⇒ 10x2 = 9x + 7
⇒ 10x2 – 9x – 7 = 0
⇒ 10x2 + 5x – 14x – 7 = 0
⇒ 5x(2x + 1) – 7(2x + 1) = 0
⇒ (2x + 1)(5x – 7) = 0
⇒ (2x + 1) = 0 or (5x – 7) = 0 ...[Using zero-product rule]
⇒ 2x = –1 or 5x = 7
⇒ `x = -1/2` or `x = 7/5`
Hence, `x = {-1/2, 7/5}`.
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