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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationExpertLevel 31
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If (\alpha,\beta) are the roots of (2x^2-5x+3=0), what is (\alpha^3+\beta^3)?

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Answer and explanation

Correct answer: (\frac{35}{8})

Here (\alpha+\beta=\frac{5}{2}) and (\alpha\beta=\frac{3}{2}). Using (\alpha^3+\beta^3=(\alpha+\beta)^3-3\alpha\beta(\alpha+\beta)), we get (\frac{35}{8}).

Related tags

Quadratic-RootsCube-SumRoot-Expression

Frequently asked questions

What is the correct answer to this question?

(\frac{35}{8})

Why is this the correct answer?

Here (\alpha+\beta=\frac{5}{2}) and (\alpha\beta=\frac{3}{2}). Using (\alpha^3+\beta^3=(\alpha+\beta)^3-3\alpha\beta(\alpha+\beta)), we get (\frac{35}{8}).

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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