JEE Main 202329 Jan, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002Let α1,α2,....,α7\alpha_1,\alpha_2,....,\alpha_7α1,α2,....,α7 be the roots of the equation x7+3x5−13x3−15x=0{x^7} + 3{x^5} - 13{x^3} - 15x = 0x7+3x5−13x3−15x=0 and ∣α1∣≥∣α2∣≥ ... ≥ ∣α7∣|{\alpha _1}| \ge |{\alpha _2}| \ge \,...\, \ge \,|{\alpha _7}|∣α1∣≥∣α2∣≥...≥∣α7∣. Then α1α2−α3α4+α5α6\alpha_1\alpha_2-\alpha_3\alpha_4+\alpha_5\alpha_6α1α2−α3α4+α5α6 is equal to _________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
