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