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A fraction is greater than thrice its reciprocal by 23 / 6. What is the fraction? 

A fraction is greater than thrice its reciprocal by 23 / 6. What is the fraction?  Correct Answer 9 / 2

CONCEPT:

Here we will generate an equation in one variable to solve the question.

SOLUTION:

x - (3 / x) = 23 / 6

⇒ 6(x2 - 3) = 23x

⇒ 6x2 - 23x - 18 = 0

⇒ 6x2 - 27x + 4x - 18 = 0

⇒ 3x (2x - 9) + 2 (2x - 9) = 0

⇒ x = 9 / 2, - 2 / 3

 ∴ From the option value of x is 9 / 2 

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