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The sum of a number and its reciprocal is (\frac{17}{4}). What is the larger value of the number?
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Answer and explanation
Correct answer: (4)
From (x+\frac{1}{x}=\frac{17}{4}), we get (4x^2-17x+4=0). The roots are (4) and (\frac{1}{4}), so the larger value is (4).
Frequently asked questions
What is the correct answer to this question?
(4)
Why is this the correct answer?
From (x+\frac{1}{x}=\frac{17}{4}), we get (4x^2-17x+4=0). The roots are (4) and (\frac{1}{4}), so the larger value is (4).
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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