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Find the roots of quadratic equation 9x2 - 3x - 2 = 0 |
Answer» We write, - 3x = 3x - 6x as 9x2 \(\times\)(-2) = -18x2 = 3x \(\times\)(-6x) ∴ 9x2 - 3x - 2 = 0 ⇒ 9x2 + 3x - 6x - 2 = 0 ⇒ 3x(3x + 1) - 2(3x + 1) = 0 ⇒ (3x + 1) (3x - 2) = 0 ⇒ 3x + 1 = 0 or 3x - 2 = 0 ⇒ x = - 1/3 or x = 2/3 Hence, the roots of the given equation are - 1/3 and 2/3. |
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