NVAMediumJEE Main 2023 · 29 January, Shift 2Nature of Roots & Formation of Equations

Mathematics Question from JEE Main 2023 · 29 January, Shift 2

Let α1,α2,,α7\alpha_1, \alpha_2, \dots, \alpha_7 be the roots of the equation x7+3x513x315x=0x^7 + 3x^5 - 13x^3 - 15x = 0 and α1α2α7|\alpha_1| \geq |\alpha_2| \geq \dots \geq |\alpha_7|. Then α1α2α3α4+α5α6\alpha_1 \alpha_2 - \alpha_3 \alpha_4 + \alpha_5 \alpha_6 is equal to:

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