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The roots of the polynomial, π(π§)=π§ 4-8π§ 3+27π§ 2-38π§+26, are π§1, π§2, π§3,& π§4, where π§ is a complex variable. Which of the following statements is correct?
The roots of the polynomial, π(π§)=π§ 4-8π§ 3+27π§ 2-38π§+26, are π§1, π§2, π§3,& π§4, where π§ is a complex variable. Which of the following statements is correct?
Updated On: Oct 1, 2024
- \(\frac{ π§_1 + π§_2 + π§_3 + π§_4}{ π§_1π§_2π§_3π§_4 }= -\frac{4}{19}\)
- \(\frac{ π§_1 + π§_2 + π§_3 + π§_4}{ π§_1π§_2π§_3π§_4 }= -\frac{4}{13}\)
- \(\frac{ π§_1π§_2π§_3π§_4 }{ π§_1 + π§_2 + π§_3 + π§_4}= -\frac{26}{27}\)
- \(\frac{ π§_1π§_2π§_3π§_4 }{ π§_1 + π§_2 + π§_3 + π§_4}= -\frac{13}{19}\)
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The Correct Option is B
Solution and Explanation
The correct option is (B): \(\frac{ π§_1 + π§_2 + π§_3 + π§_4}{ π§_1π§_2π§_3π§_4 }= -\frac{4}{13}\)
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