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Find the roots of 2/5 x2 - x – 3/5 = 0 by the factorisation of the corresponding quadratic polynomial. |
Answer» Given, 2/5 x2 - x - 3/5 = 0 ⇒ 2x2 - 5x – 3 = 0 By splitting the middle term, ⇒ 2x2 - 6x + x – 3 = 0 Taking common in the expression, ⇒ 2x (x - 3) + 1 (x - 3) = 0 ⇒ (2x + 1) (x - 3) = 0 ∴ 2x + 1 = 0 and ∴ x – 3 = 0 ∴ x = -1/2 and ∴ x = 3 |
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