AP EAMCET · Maths · Quadratic Equation
If \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-2 x+4=0\), then \(\alpha^9+\beta^9\) is equal to
- A \(-2^8\)
- B \(2^9\)
- C \(-2^{10}\)
- D \(2^{10}\)
Answer & Solution
Correct Answer
(C) \(-2^{10}\)
Step-by-step Solution
Detailed explanation
Given quadratic equation is \[ x^2-2 x+4=0 \] whose roots are \(\alpha\) and \(\beta\). \[ \therefore \quad \alpha+\beta=2 \text { and } \alpha \beta=4 \] Now,…
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