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

Answer and explanation

Correct answer: (\frac{81}{8})

Here (\alpha+\beta=3) and (\alpha\beta=\frac{5}{4}). Using (\alpha^3+\beta^3=(\alpha+\beta)^3-3\alpha\beta(\alpha+\beta)), we get (\frac{63}{4}), so none of the options is correct.

Related tags

Quadratic-RootsCube-SumOption-CheckRoots Of A Quadratic EquationQuadratic EquationsMathematicsClass 10 Mcq
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