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If (\alpha) and (\beta) are zeroes of (x^2-4x+1), what is (\alpha^3+\beta^3)?
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Answer and explanation
Correct answer: (52)
(\alpha+\beta=4) and (\alpha\beta=1). (\alpha^3+\beta^3=(\alpha+\beta)^3-3\alpha\beta(\alpha+\beta)=64-12=52).
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What is the correct answer to this question?
(52)
Why is this the correct answer?
(\alpha+\beta=4) and (\alpha\beta=1). (\alpha^3+\beta^3=(\alpha+\beta)^3-3\alpha\beta(\alpha+\beta)=64-12=52).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.
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