Question discussion

The sum of twice a number and thrice its reciprocal is 25/2. What is the number?

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Let number be ‘x’ then its reciprocal be 1/x.

According to the question

2x + 3/x = 25/2

2x2 + 3 = 25x/2

4x2 + 6 = 25x

4x2 – 25x + 6 = 0

(4x – 1)(x – 6) = 0

x = 6