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प्रश्न
Find the roots of the following quadratic equation by the factorisation method:
`2/5x^2 - x - 3/5 = 0`
उत्तर
Given equation is `2/5x^2 - x - 3/5` = 0
On multiplying by 5 on both sides, we get
2x2 – 5x – 3 = 0
⇒ 2x2 – (6x – x) – 3 = 0 ....[By splitting middle term]
⇒ 2x2 – 6x + x – 3 = 0
⇒ 2x(x – 3) + 1(x – 3) = 0
⇒ (x – 3)(2x + 1) = 0
Now, x – 3 = 0
⇒ x = 3
And 2x + 1 = 0
⇒ x = `-1/2`
Hence, the roots of the equation 2x2 – 5x – 3 = 0 are `- 1/2` and 3.
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