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If (\alpha=2+\sqrt{5}) and (\beta=2-\sqrt{5}), what is (\frac{1}{\alpha}+\frac{1}{\beta})?
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Answer and explanation
Correct answer: (-4)
(\frac{1}{\alpha}+\frac{1}{\beta}=\frac{\alpha+\beta}{\alpha\beta}=\frac{4}{4-5}=-4). Finding sum and product first is easier.
Frequently asked questions
What is the correct answer to this question?
(-4)
Why is this the correct answer?
(\frac{1}{\alpha}+\frac{1}{\beta}=\frac{\alpha+\beta}{\alpha\beta}=\frac{4}{4-5}=-4). Finding sum and product first is easier.
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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