If (p(x)=x^2-4x-1), what is (\frac{1}{\alpha}+\frac{1}{\beta}), where (\alpha) and (\beta) are its zeroes?
Answer and explanation
Correct answer: (-4)
(\alpha+\beta=4) and (\alpha\beta=-1), so (\frac{1}{\alpha}+\frac{1}{\beta}=\frac{4}{-1}=-4). Find sum and product first.
Frequently asked questions
What is the correct answer to this question?
(-4)
Why is this the correct answer?
(\alpha+\beta=4) and (\alpha\beta=-1), so (\frac{1}{\alpha}+\frac{1}{\beta}=\frac{4}{-1}=-4). Find sum and product first.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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