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# The Square of a positive integer is equal to the sum of the integer and 12. Find the integer

##### Administrator

**Staff member**

The Square of a positive integer is equal to the sum of the integer and 12. Find the integer

Let the integer be x.

- The sum of the integer and 12 is written as x + 12.
- The square of a positive integer is written as x^2.

We set these equal to each other:

x^2 = x + 12

Subtract x + 12 from each side:

x^2 - x - 12 = 0

We have a quadratic function.

Run it through our search engine and we get x = 3 and x = -4.

The problem asks for a positive integer, so we have

**x = 3**