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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationHardLevel 31
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If (\alpha) and (\beta) are roots of (x^2-7x+10=0), what can be the value of (\frac{\alpha+\beta}{\alpha-\beta})?

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Answer and explanation

Correct answer: (\frac{7}{3}) or (-\frac{7}{3})

The roots are (5) and (2), so the sum is (7) and the difference can be (\pm3). Hence the value is (\frac{7}{3}) or (-\frac{7}{3}).

Related tags

RootsRatioDifference

Frequently asked questions

What is the correct answer to this question?

(\frac{7}{3}) or (-\frac{7}{3})

Why is this the correct answer?

The roots are (5) and (2), so the sum is (7) and the difference can be (\pm3). Hence the value is (\frac{7}{3}) or (-\frac{7}{3}).

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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