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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationHardLevel 32
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If (\alpha) and (\beta) are roots of (x^2-8x+15=0), what is the value of (\frac{\alpha}{\beta}+\frac{\beta}{\alpha})?

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Answer and explanation

Correct answer: (\frac{34}{15})

Here (\alpha+\beta=8) and (\alpha\beta=15). The value is (\frac{(\alpha+\beta)^2-2\alpha\beta}{\alpha\beta}=\frac{34}{15}).

Related tags

RootsAdvanced ExpressionSum Product

Frequently asked questions

What is the correct answer to this question?

(\frac{34}{15})

Why is this the correct answer?

Here (\alpha+\beta=8) and (\alpha\beta=15). The value is (\frac{(\alpha+\beta)^2-2\alpha\beta}{\alpha\beta}=\frac{34}{15}).

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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