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If α₁, ₂, ......., a are the roots of the equation x²¹²-a₁x²² - ¹ + a₂x²¹ - ² + ...... + (-1)" a, = 0, then the value of (1 + α₁) (1 + a₂).... (1+a)= 0 is given by (a) 1+ an (b) ¹ − a₁ + a₂ − a₂ + ... ... + (−1)″ a₁₁ (c) 1 + a₁ + a₂ +.....+ an' (d) 1-a₁-a-an

If α₁, ₂, ......., a are the roots of the equation x²¹²-a₁x²² - ¹ + a₂x²¹ - ² + ...... + (-1)" a, = 0, then the value of (1 + α₁) (1 + a₂).... (1+a)= 0 is given by (a) 1+ an (b) ¹ − a₁ + a₂ − a₂ + ... ... + (−1)″ a₁₁ (c) 1 + a₁ + a₂ +.....+ an' (d) 1-a₁-a-an

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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If α₁, ₂, ......., a are the roots of the equation x²¹² — a ₁x²-¹ + a₂x²¹ - ² + ...... + (-1)" a, = 0, then the value of (1 + α₁) (1 + α₂).... (1+α₁) = 0 is given by (a) 1+ an (b) 1 − a₁ + a₂ − a₂ + ... ... + (−1)″ a₁₁ (c) 1 + a₁ + a₂ +.....+ an' (d) 1-a₁-a-an
Transcribed Image Text:If α₁, ₂, ......., a are the roots of the equation x²¹² — a ₁x²-¹ + a₂x²¹ - ² + ...... + (-1)" a, = 0, then the value of (1 + α₁) (1 + α₂).... (1+α₁) = 0 is given by (a) 1+ an (b) 1 − a₁ + a₂ − a₂ + ... ... + (−1)″ a₁₁ (c) 1 + a₁ + a₂ +.....+ an' (d) 1-a₁-a-an
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