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Numbers in General Form

The sum of fo...

Question

The sum of four times a number and three times its reciprocal is 7. Find the number.

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Solution

Let the number is $x$
Accod. to question
$4 x + \frac{3}{x} = 7$
$4 x^{2} - 7 x + 3 = 0$
$x = 1, \frac{3}{4}$

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