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JEE Main Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Main

Let and be the numbers of real roots of the quadratic equations and respectively, where denotes the greatest integer . Then is equal to

Answer: 9

Solution

On the first equation is , i.e. ; checking each interval, no root lies in its own interval (for instance on the left side is

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Question ID VK-014311