If a1,a2,a3,⋯,an;(n≥2) are real and (n−1)a21−2na2 <0, then atl – InterviewSolution

1.	If a1,a2,a3,⋯,an;(n≥2) are real and (n−1)a21−2na2 <0, then atleast roots of the equation xn + a1xn−1 + a2xn−2 + ⋯ +an=0, are imaginary.
Answer» If $a_{1}, a_{2}, a_{3}, \dots, a_{n}; (n \geq 2)$ are real and $(n - 1) a_{1}^{2} - 2 n a_{2} < 0,$ then atleast roots of the equation $x^{n} + a_{1} x^{n - 1} + a_{2} x^{n - 2} + \dots + a_{n} = 0$ , are imaginary.

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