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If (\alpha,\beta) are roots of (3x^2-11x+6=0), what is the value of (\frac{\alpha}{\beta}+\frac{\beta}{\alpha})?
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Answer and explanation
Correct answer: ( \frac{85}{18} )
We use (\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{\alpha^2+\beta^2}{\alpha\beta}). Here (\alpha+\beta=\frac{11}{3}) and (\alpha\beta=2), so the value is (\frac{85}{18}).
Frequently asked questions
What is the correct answer to this question?
( \frac{85}{18} )
Why is this the correct answer?
We use (\frac{\alpha}{\beta}+\frac{\beta}{\alpha}=\frac{\alpha^2+\beta^2}{\alpha\beta}). Here (\alpha+\beta=\frac{11}{3}) and (\alpha\beta=2), so the value is (\frac{85}{18}).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Introduction to Quadratic Equations.
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