If (\alpha) and (\beta) are roots of (x^2-14x+45=0), what is the value of (\frac{\alpha^2+\beta^2}{\alpha\beta})?

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Answer and explanation

Correct answer: (\frac{106}{45})

Here (\alpha+\beta=14) and (\alpha\beta=45). (\alpha^2+\beta^2=196-90=106), so the value is (\frac{106}{45}).

What is the correct answer to this question?

(\frac{106}{45})

Why is this the correct answer?

Here (\alpha+\beta=14) and (\alpha\beta=45). (\alpha^2+\beta^2=196-90=106), so the value is (\frac{106}{45}).

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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