Let and be real numbers such that - 4 < < 0 < < 4 . If ( + ) = 1 3 and ( - ) = 2 3 , then the greatest integer less than or equal to ( + + + )^2 is _____.

JEE Advanced 2022 Mathematics question

Let and be real numbers such that . If and , then the greatest integer less than or equal to

( + + +

is .

Answer: 1

Group the terms: and . With

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Question ID VK-034008