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प्रश्न
Solve the following quadratic equation:
5x2 + 13x + 8 = 0
बेरीज
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उत्तर
We write, 13x = 5x + 8x as 5x2 × 8 = 40x2 = 5x × 8x
∴ 5x2 + 13x + 8 = 0
⇒ 5x2 + 5x + 8x + 8 = 0
⇒ 5x(x + 1) + 8(x + 1) = 0
⇒ (x + 1) (5x + 8) = 0
⇒ x + 1 = 0 or 5x + 8 = 0
⇒ x = –1 or x = `(-8)/5`
Hence, –1 and `(-8)/5` are the roots of the given equation.
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