# The sum of the SQUARES of two consecutive positive integers is 145. How do you find the numbers?

##### 2 Answers

Jan 27, 2016

#### Explanation:

given.

Jan 27, 2016

I found

#### Explanation:

Let us call the numbers:

and

we get (from our condition) that:

rearrange and solve for

use the Quadratic Formula:

so ve get two values:

we chose the positive one so that our numbers will be:

and