AP EAMCET · Maths · Quadratic Equation
Find \(\alpha^4+\beta^4\) if \(\alpha, \beta\) are the roots of equation \(x^2+x+1=0\).
- A \(\frac{1}{\alpha \beta}\)
- B \(\frac{2}{\alpha \beta}\)
- C \(\alpha \beta\)
- D \(-\alpha \beta\)
Answer & Solution
Correct Answer
(D) \(-\alpha \beta\)
Step-by-step Solution
Detailed explanation
The roots of the equation \(x^2+x+1=0\) are \(\alpha\) and \(\beta\) and \(\alpha^3=\beta^3=1\) and \(\alpha+\beta+1=0\) \(\{\because \alpha, \beta\) are non-real cube roots of unity \(\}\)…
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