TS EAMCET · Maths · Complex Number
One of the roots of the equation \(x^{14}+x^9-x^5-1=0\) is
- A \(\frac{1+\sqrt{3} i}{2}\)
- B \(\frac{\sqrt{5}-1}{4}+i \frac{\sqrt{10-2 \sqrt{5}}}{4}\)
- C \(\frac{1-\sqrt{3} i}{2}\)
- D \(\frac{\sqrt{5}+1}{4}+i \frac{\sqrt{10-2 \sqrt{5}}}{4}\)
Answer & Solution
Correct Answer
(D) \(\frac{\sqrt{5}+1}{4}+i \frac{\sqrt{10-2 \sqrt{5}}}{4}\)
Step-by-step Solution
Detailed explanation
\(x^{14}+x^9-x^5-1=0\)…
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