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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationExpertLevel 33
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If (\alpha,\beta) are the roots of (4x^2-12x+5=0), what is the correct value of (\alpha^3+\beta^3)?

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Answer and explanation

Correct answer: (\frac{63}{4})

Here (\alpha+\beta=3) and (\alpha\beta=\frac{5}{4}). Thus (\alpha^3+\beta^3=27-\frac{45}{4}=\frac{63}{4}).

Related tags

Quadratic-RootsCube-SumRoot-Expression

Frequently asked questions

What is the correct answer to this question?

(\frac{63}{4})

Why is this the correct answer?

Here (\alpha+\beta=3) and (\alpha\beta=\frac{5}{4}). Thus (\alpha^3+\beta^3=27-\frac{45}{4}=\frac{63}{4}).

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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