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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationHardLevel 33
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If (\alpha,\beta) are the roots of (2x^2-7x+3=0), what is the value of ((\alpha-\beta)^2)?

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Answer and explanation

Correct answer: (\frac{25}{4})

Use ((\alpha-\beta)^2=(\alpha+\beta)^2-4\alpha\beta). Here (\alpha+\beta=\frac{7}{2}) and (\alpha\beta=\frac{3}{2}), so the value is (\frac{25}{4}).

Related tags

Quadratic-RootsDifference-Of-RootsRoot-Expression

Frequently asked questions

What is the correct answer to this question?

(\frac{25}{4})

Why is this the correct answer?

Use ((\alpha-\beta)^2=(\alpha+\beta)^2-4\alpha\beta). Here (\alpha+\beta=\frac{7}{2}) and (\alpha\beta=\frac{3}{2}), so the value is (\frac{25}{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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