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If the roots of (x^2-20x+91=0) are (\alpha) and (\beta), what is (\frac{1}{\alpha}+\frac{1}{\beta})?

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Answer and explanation

Correct answer: ( \frac{20}{91}) / (\frac{20}{91})

(\frac{1}{\alpha}+\frac{1}{\beta}=\frac{\alpha+\beta}{\alpha\beta}=\frac{20}{91}). In exams, first write sum and product in reciprocal questions.

Related tags

QuadraticRoots-ExpressionReciprocal

Frequently asked questions

What is the correct answer to this question?

( \frac{20}{91}) / (\frac{20}{91})

Why is this the correct answer?

(\frac{1}{\alpha}+\frac{1}{\beta}=\frac{\alpha+\beta}{\alpha\beta}=\frac{20}{91}). In exams, first write sum and product in reciprocal questions.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Methods of Solving Quadratic Equations.

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