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The sum of a number and its reciprocal is 5/2. Represent this, situation in the form of a quadratic equation

A) x – 1/x = 5/2

B) x + 1/x = 5/2

C) x + √x = 5/2

D) x2 1/x2 = 5/2

2 Answers

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Correct option is (B) x + 1/x = 5/2

Let x be a number.

Then its reciprocal is \(\frac1x.\)

Given that sum of number and its reciprocal is \(\frac{5}{2}.\)

\(\therefore\) \(x+\frac{1}{x}=\frac{5}{2}\) which represent the given situation.

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Correct option is B) x + 1/x = 5/2

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