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Quadratic Equation and Inequalities question

2023 · 29 Jan · Shift 2 · Q42

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JEE Main
Mathematics
Quadratic Equation and Inequalities
2023 · 29 Jan · Shift 2 · Q42

Quadratic Equation and Inequalities question

2023 · 29 Jan · Shift 2 · Q42

JEE MainMathematicsQuadratic Equation and InequalitiesNumerical+4 / −1

Let

\alpha_1,\alpha_2,....,\alpha_7

be the roots of the equation

{x^7} + 3{x^5} - 13{x^3} - 15x = 0

and

|{\alpha _1}| \ge |{\alpha _2}| \ge \,...\, \ge \,|{\alpha _7}|

. Then

\alpha_1\alpha_2-\alpha_3\alpha_4+\alpha_5\alpha_6

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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