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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationExpert
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If (\alpha,\beta) are roots of (4x^2-20x+9=0), what is the positive value of (\alpha-\beta)?

Answer and explanation

Correct answer: (\frac{7}{2})

Here (\alpha+\beta=5) and (\alpha\beta=\frac{9}{4}). Thus ((\alpha-\beta)^2=25-9=16), so the positive difference is (4); option (A) should be correct.

Related tags

Quadratic-RootsDifference-Of-RootsOption-CheckRoots Of A Quadratic EquationQuadratic EquationsMathematicsClass 10 Mcq
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