AP EAMCET · Maths · Complex Number
The sum of the complex roots of the equation \(x^4-2 x^3+x-380=0\) is
- A \(-3 i+3\)
- B \(3 \mathrm{i}-3\)
- C \(-1\)
- D \(1\)
Answer & Solution
Correct Answer
(D) \(1\)
Step-by-step Solution
Detailed explanation
\(x^4-2 x^3+x-380=0\) \(\begin{aligned} & \text { put } x=5 \\ & 5^4-2 \times 5^3+5-380=\Rightarrow 0=0\end{aligned}\) So, \(x=5\) one real root put \(\mathrm{n}=-4\) \((-4)^4-2 x(-4)^3+(-4)-380=0 \Rightarrow 0=0\) So, \(n=-4\) is second real roots. Let \(\alpha\) and \(\beta\)…
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