Discussion

Explanation:

Let the rational number be x.

Then, $x+\frac{1}{x}=\frac{25}{12}$

⇒ $\frac{x^2+1}{x}=\frac{25}{12}$ 

⇒ 12x² – 25x + 12 = 0

⇒ 12x² – 16x – 9x + 12 = 0 

⇒ (4x – 3)(3x – 4) = 0

⇒ x = 3/4 or x = 4/3.

Hence, the required number is 3/4 or 4/3.

Hence, option (b).

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