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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationHardLevel 33
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If (\alpha,\beta) are the roots of (x^2+4x+1=0), what is (\frac{\alpha}{\beta}+\frac{\beta}{\alpha})?

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Answer and explanation

Correct answer: (14)

(\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{\alpha^2+\beta^2}{\alpha\beta}). With (\alpha+\beta=-4) and (\alpha\beta=1), the value is (14).

Related tags

Quadratic-RootsRoot-ExpressionSum-Product

Frequently asked questions

What is the correct answer to this question?

(14)

Why is this the correct answer?

(\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{\alpha^2+\beta^2}{\alpha\beta}). With (\alpha+\beta=-4) and (\alpha\beta=1), the value is (14).

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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