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Subjects
Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationHardLevel 32
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If a new equation is formed by taking reciprocals of the roots of (x^2-7x+10=0), which monic equation is obtained?

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Answer and explanation

Correct answer: (x^2-\frac{7}{10}x+\frac{1}{10}=0)

The old sum is (7) and product is (10). The reciprocal roots have sum (\frac{7}{10}) and product (\frac{1}{10}).

Related tags

RootsReciprocal RootsNew Equation

Frequently asked questions

What is the correct answer to this question?

(x^2-\frac{7}{10}x+\frac{1}{10}=0)

Why is this the correct answer?

The old sum is (7) and product is (10). The reciprocal roots have sum (\frac{7}{10}) and product (\frac{1}{10}).

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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