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प्रश्न
Solve the following equation by factorization:
15x2 – 28 = x
योग
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उत्तर
Given,
⇒ 15x2 – 28 = x
⇒ 15x2 – x – 28 = 0
⇒ 15x2 – 21x + 20x – 28 = 0
⇒ 3x(5x – 7) + 4(5x – 7) = 0
⇒ (5x – 7)(3x + 4) = 0
⇒ (5x – 7) = 0 or (3x + 4) = 0 ...[Using zero-product rule]
⇒ 5x = 7 or 3x = – 4
⇒ `x = 7/5` or `x = (-4)/3`
Hence, `x = {(-4)/3, 7/5}`.
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