Let _1, _2,..., _7 be the roots of the equation x^7+3x^5-13x^3-15x=0 and | _1| | _2| | _7|. Then _1 _2- _3...

Question

Let _1, _2,..., _7 be the roots of the equation x^7+3x^5-13x^3-15x=0 and | _1| | _2| | _7|. Then _1 _2- _3 _4+ _5 _6 is equal to _______.

Accepted Answer

9

JEE Main 2023 Mathematics question