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JEE Main 2023
29-01-2023_S2
Question
Let $\alpha_1, \alpha_2, \ldots, \alpha_7$ be the roots of the equation $x^7+3 x^5-13 x^3-15 x=0$ and $\left|\alpha_1\right| \geq\left|\alpha_2\right| \geq \ldots \geq\left|\alpha_7\right|$. Then $\alpha_1 \alpha_2 -\alpha_3 \alpha_4+\alpha_5 \alpha_6$ is equal to $\_\_\_\_$ .
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