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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationHardLevel 31
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If (\alpha) and (\beta) are roots of (x^2-9x+20=0), what is the value of (\alpha^3+\beta^3)?

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Answer and explanation

Correct answer: (369)

(\alpha+\beta=9) and (\alpha\beta=20). (\alpha^3+\beta^3=(\alpha+\beta)^3-3\alpha\beta(\alpha+\beta)=729-540=189).

Related tags

RootsCubesIdentity

Frequently asked questions

What is the correct answer to this question?

(369)

Why is this the correct answer?

(\alpha+\beta=9) and (\alpha\beta=20). (\alpha^3+\beta^3=(\alpha+\beta)^3-3\alpha\beta(\alpha+\beta)=729-540=189).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Roots of a Quadratic Equation.

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