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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationHardLevel 31
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If (\alpha) and (\beta) are roots of (x^2-8x+15=0), what is the value of (\frac{\alpha-1}{\beta-1}+\frac{\beta-1}{\alpha-1})?

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Answer and explanation

Correct answer: (\frac{17}{8})

The roots are (3) and (5), so (\alpha-1) and (\beta-1) are (2) and (4). The value is (\frac{2}{4}+\frac{4}{2}=\frac{5}{2}).

Related tags

RootsTransformed ExpressionRatio

Frequently asked questions

What is the correct answer to this question?

(\frac{17}{8})

Why is this the correct answer?

The roots are (3) and (5), so (\alpha-1) and (\beta-1) are (2) and (4). The value is (\frac{2}{4}+\frac{4}{2}=\frac{5}{2}).

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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