Find two consecutive odd positive integers, sum of whose squares is `290.`

Options

A. `11, 13`
B. `12, 14`
C. `15, 18`
D. None of these

Explanation

To solve the problem of finding two consecutive odd positive integers whose sum of squares is 290, we can follow these steps:

### Step 1: Define the integers
Let the first odd positive integer be \( x \). Since we are looking for consecutive odd integers, the next odd integer will be \( x + 2 \).

### Step 2: Set up the equation
According to the problem, the sum of the squares of these two integers is 290. Therefore, we can write the equation:
\[
...