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Find the roots of quadratic equations 12abx2 - (9a2 - 8b2)x - 6ab = 0 |
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Answer» Given 12abx2 - (9a2 - 8b2)x - 6ab = 0 ⇒ 12abx2 - 9a2x + 8b2x - 6ab = 0 ⇒ 3ax (4bx - 3a) + 2b (4bx - 3a) = 0 ⇒ (3ax + 2b) (4bx - 3a) = 0 ⇒ 3ax + 2b = 0 or 4bx - 3a = 0 ⇒ x = -2b/3a or x = 3a/4b Hence, the roots of the equation are -2b/3a and 3a/4b. |
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