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Popular >

The sum of twice a positive integer and four times the reciprocal of the integer is 9. Find the integer.

Solution

The sum of twice a positive integer and four times the reciprocal of the integer is 9. Find the integer.

Solution

The number : 4 or \frac{1}{2}

Solution steps

Represent the number with

x

A.T.Q.:

2 x + 4 \cdot \frac{1}{x} = 9

Solve for

x, 2 x + 4 \cdot \frac{1}{x} = 9 : x = 4, x = \frac{1}{2}

The number : 4 or \frac{1}{2}

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