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JEE Main Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Main

Let be a constant. If there are just 18 positive integers satisfying the inequality , then the value of is

Answer: 5

Solution

Since , the three roots satisfy . A product of three factors is negative when is below the smallest root, or between the middle and the largest: or . Counting positive integers (taking an

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Question ID VK-007506