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If 2 is a root of the equation x2 + bx + 12 = 0 and the equation x2 + bx + q = 0 has equal roots, then q is equal to(A) 8 (B) -8 (C) 16 (D) -16 |
Answer» The correct option is: (C) 16 Explanation: Since x = 2 is a root of the equation x2 + bx + 12 = 0 => (2)2 + b(2) + 12 = 0 => 2b = -16 => b = -8 Then, the equation x2 + bx + q becomes x2 - 8x + q = 0 ....(1) Since (1 ) has equal roots => b2 - 4ac = 0 => (-8)2 - 4(1)q = 0 => q =16 |
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