The sum of a number and its reciprocal is (\frac{5}{2}). What is the larger number?

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Answer and explanation

Correct answer: (2)

Let the number be (x), so (x+\frac{1}{x}=\frac{5}{2}). This gives (2x^2-5x+2=0), so the larger number is (2).

What is the correct answer to this question?

(2)

Why is this the correct answer?

Let the number be (x), so (x+\frac{1}{x}=\frac{5}{2}). This gives (2x^2-5x+2=0), so the larger number is (2).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.

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