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