AP EAMCET · Maths · Quadratic Equation
If \(\alpha, \beta\) are the roots of \(x^2-2 x+4=0\), for \(n \in \mathbf{N}\), what is the value of \(\alpha^n+\beta^n=\)
- A \(2^{n+2} \cos \left(\frac{n \pi}{3}\right)\)
- B \(2^{n+1} \cos \left(\frac{n \pi}{3}\right)\)
- C \(2^{n+1} \cos \left(\frac{n \pi}{6}\right)\)
- D \(2^{n+2} \cos \left(\frac{n \pi}{6}\right)\)
Answer & Solution
Correct Answer
(B) \(2^{n+1} \cos \left(\frac{n \pi}{3}\right)\)
Step-by-step Solution
Detailed explanation
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