# How do you find two consecutive positive integers if the sum of their squares is 3445?

##### 1 Answer

Apr 10, 2018

#### Answer:

#### Explanation:

First, translate the words into an equation:

Since you know that

Via substitution, you get the new equation

Expand the second term on the left-hand side

Simplification gets you a quadratic equation

This can be factored into

By the zero product rule,

Since they are positive integers,

Because they are consecutive and

The final answer is