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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationHardLevel 33
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If (\alpha,\beta) are the roots of (3x^2-10x+3=0), which equation has roots (\frac{1}{\alpha},\frac{1}{\beta})?

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Answer and explanation

Correct answer: (3x^2-10x+3=0)

Here (\alpha+\beta=\frac{10}{3}) and (\alpha\beta=1). The reciprocal roots also have sum (\frac{10}{3}) and product (1).

Related tags

Quadratic-RootsReciprocal-RootsNew-Equation

Frequently asked questions

What is the correct answer to this question?

(3x^2-10x+3=0)

Why is this the correct answer?

Here (\alpha+\beta=\frac{10}{3}) and (\alpha\beta=1). The reciprocal roots also have sum (\frac{10}{3}) and product (1).

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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