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Quadratic problem solving

The sum of a number and its reciprocal is 5 1/2. Find the number. Show your working out.

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The sum of a number and its reciprocal...

This mean a number in the form $\frac{x}{y}$ is added to its reciprocal $\frac{y}{x}$ .

$\frac{x}{y} + \frac{y}{x} = \large{5} \frac12$

Put the 5 1/2 into improper fraction.

Then add the two fractions. The number will be $\frac{x}{y}$ .

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