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Solve the following quadratic equation by factorization method. 3p2 + 8p + 5 = 0 - Algebra

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प्रश्न

Solve the following quadratic equation by factorization method.

3p2 + 8p + 5 = 0

योग
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उत्तर

3p2 + 8p + 5 = 0

∴ 3p2 + 5p + 3p + 5 = 0

3 × 5 =  15
  5 3
  5 × 3 = 15
5 + 3 = 8

∴ p(3p + 5) + 1(3p + 5) = 0

∴ (3p + 5) (p + 1) = 0

By using the property, if the product of two numbers is zero, then at least one of them is zero, we get

3p + 5 = 0 or p + 1 = 0

∴ 3p = – 5 or p = – 1

∴ p = `(-5)/3` or p = – 1

∴ The roots of the given quadratic equation are `(-5)/3` and – 1

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अध्याय 2: Quadratic Equations - Q.2 (B)
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